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#76 2012-02-27 04:22:13
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Winter Lover
Hi;
But did you know your viewpoint is not Matrixism. The Hindus and others had those ideas thousands of years before the Warshowskys were born.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#77 2012-03-03 05:11:19
- John E. Franklin
- Member
- Registered: 2005-08-29
- Posts: 3,588
Re: Winter Lover
What came first?
1. love
2. thought
3. things moving around
4. static things in clouds
5. elements
6. tinier parts of atoms
7. a big blob
So do you think the mental world preceded the physical objects or the other way around?
igloo myrtilles fourmis
Offline
#78 2012-03-03 05:12:28
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Winter Lover
Definitely 7.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#79 2012-03-22 08:33:39
- John E. Franklin
- Member
- Registered: 2005-08-29
- Posts: 3,588
Re: Winter Lover
i think we were around before the big bang in some other form. does that sound strange to you? i believe there was no beginning and will be no end after the next big crash...
igloo myrtilles fourmis
Offline
#80 2012-03-22 08:39:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Winter Lover
No it does not sound strange. It is the backbone of most beliefs. No matter what they call it all believe that what we truly are is indestructible.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
Offline
#81 2019-05-17 11:09:48
- John E. Franklin(2)
- Member
- Registered: 2019-05-17
- Posts: 28
Re: Winter Lover
My how the years have past!
I'm John E. Franklin with (2) after it now.
I still live near 72W & 43N within a radius of 200 km.
Je parle un peu de francais a coup!
(I speak a little French to boot!)
;;le fin::
;;the end::
Last edited by John E. Franklin(2) (2019-05-17 11:12:12)
Online
#82 2019-05-17 12:18:11
- Alg Num Theory
- Member
- Registered: 2017-11-24
- Posts: 693
- Website
Re: Winter Lover
Salut, John! Bon retour!
(Hi John! Welcome back!)
Me, or the ugly man, whatever (3,3,6)
Offline
#83 2019-05-19 16:32:06
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Winter Lover
John E. Franklin(2) wrote:
My how the years have past!
I'm John E. Franklin with (2) after it now.
I still live near 72W & 43N within a radius of 200 km.
Je parle un peu de francais a coup!
(I speak a little French to boot!)
;;le fin::
;;the end::
Welcome back, John!
Why did you abandon your old account in the first place? Just wondering.
The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.
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#84 Today 04:59:49
- John E. Franklin(2)
- Member
- Registered: 2019-05-17
- Posts: 28
Re: Winter Lover
'Boolean Algebra Simplification
'Logic Circuit Minimization
'by John E. Franklin (year 2026)
'THREE-variable truth table
' C B A
' 0 0 0 ?
' 0 0 1 ?
' 0 1 0 ?
' 0 1 1 ?
' 1 0 0 ?
' 1 0 1 ?
' 1 1 0 ?
' 1 1 1 ?
'
'In decimal, (Zero) = 0,
'(One) = 255
'A = 1 + 4 + 16 + 64 = 85
'a = not A = 2 + 8 + 32 + 128 = 170
'B = 1 + 2 + 16 + 32 = 51
'b = /B = not B = 4 + 8 + 64 + 128 = 204
'C = 1 + 2 + 4 + 8 = 15
'c = 16 + 32 + 64 + 128 = 240
'Zero = 0 and One = 255
'So A = 85, a = 170
'B = 51, b = 204
'C = 15, c = 240
Dim f1(258)
Dim f2(258)
Dim cx(258) 'number of gates
Dim gt(258)'5=and, 7 = or, 9 = xor
Dim eq$(258) 'equation string
for x = 0 to 256
cx(x)=777
f1(x)=777
f2(x)=777
gt(x)=777
eq$(x)=" "
next x
cx(0)=0
cx(255)=0
cx(85)=0
cx(170)=0
cx(51)=0
cx(204)=0
cx(15)=0
cx(240)=0
eq$(15)="C"
eq$(240)="c"
eq$(51)="B"
eq$(204)="b"
eq$(85) = "A"
eq$(170) = "a"
eq$(0) = "(ZERO)"
eq$(255) = "(ONE)"
[doagain]
MadeChange=0
for g = 0 to 255
for f = 0 to 255
if cx(f and g) > (1 + cx(f) + cx(g))then
MadeChange = 1
eq$(f and g) = "(" + eq$(f) + " and " + eq$(g) + ")"
gt(f and g) = 5
cx(f and g) = 1 + cx(f) + cx(g)
f1(f and g) = f
f2(f and g) = g
end if
if cx(f or g) > (1 + cx(f) + cx(g))then
MadeChange = 1
eq$(f or g) = "(" + eq$(f) + " or " + eq$(g) + ")"
gt(f or g) = 7
cx(f or g) = 1 + cx(f) + cx(g)
f1(f or g) = f
f2(f or g) = g
end if
if cx(f xor g) > (1 + cx(f) + cx(g))then
MadeChange = 1
eq$(f xor g) = "(" + eq$(f) + " xor " + eq$(g) + ")"
gt(f xor g) = 9
cx(f xor g) = 1 + cx(f) + cx(g)
f1(f xor g) = f
f2(f xor g) = g
end if
next f
next g
If 1 = MadeChange then
goto [doagain]
end if
for x = 0 to 255
print "******************************"
print " C B A Outputs"
print " 0 0 0 ";(x and 128)
print " 0 0 1 ";(x and 64)
print " 0 1 0 ";(x and 32)
print " 0 1 1 ";(x and 16)
print " 1 0 0 ";(x and 8)
print " 1 0 1 ";(x and 4)
print " 1 1 0 ";(x and 2)
print " 1 1 1 ";(x and 1)
print "boolean equation: "
print eq$(x)
print "******************************"
next x
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(ZERO)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((A and C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((a and C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(B and C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((b and C) and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(A and C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(C and (A xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(C and (A or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((b and C) and a)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(C and (a xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(a and C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(C and (a or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(b and C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(C and (b or A))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(C and (b or a))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
C
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((c and B) and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(A and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A xor C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((A or C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(A and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(A and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A or C) and ((A and C) xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((A or C) and ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((A xor C) and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a xor B) and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A xor C) and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((b and A) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((A or C) and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((a and B) xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(c xor (b or a))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((A and B) or C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((c and B) and a)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a xor C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(a and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((a or C) and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((A xor B) and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((a xor C) and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A xor B) and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((c and A) xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(a and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a or C) and ((a and C) xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(a and (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((a or C) and ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((a or C) and (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(c xor (b or A))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A and B) xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((a and B) or C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(B and (c or A))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(B and (c or a))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
B
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(C xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((a and C) xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A and C) xor B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((A and C) or B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(C xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a and C) xor B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A and C) xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((a and C) or B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(B xor C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((A and C) or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((a and C) or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(B or C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((c and A) and b)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((b xor C) and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A xor B) and (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((b xor C) and (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(b and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((b or C) and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(((A or C) and B) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(((A xor C) and B) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(b and (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(((A or C) and (B xor C)) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b or C) and (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(c xor (a or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(b and (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(((A xor C) and (B xor C)) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A and B) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((b and A) or C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((c or B) and A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A or B) and (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((b and C) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(A and (c or b))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
A
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((B and C) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((B and C) or A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(C xor ((B and C) or A))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((b and C) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(A xor C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((B and C) or (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((B and C) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((b and C) or A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((b and C) or (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(A or C)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (A xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((A xor C) xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(A xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(b xor (a or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(B xor ((B and C) or A))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((c and B) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(A xor B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((B and C) or (A xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((A or C) xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((A xor C) xor B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(A xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(A xor ((a and C) or (B xor C)))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((A or C) xor B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((A xor C) xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(A xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(C or (A xor B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (A or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(((A xor B) and (B xor C)) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((A and C) xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((c and A) or B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(((a xor C) and B) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((c and B) or A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(((a or C) and B) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(A or B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(C xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(((a or C) and (B xor C)) xor A)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((a and B) or (A xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((A xor C) or B)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c and (a or B)) xor b)
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(A or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((A xor C) or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 0
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((A or C) or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((c and a) and b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a xor C) and (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b xor C) and a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((b xor C) and (a or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(b and (a xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(c xor ((c and B) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((c or B) xor ((c and B) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(c xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(b and a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a or C) and (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b or C) and a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(c xor ((A xor C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(b and (a or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(c xor (A or (B xor C)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((c or A) xor ((A xor C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((b and a) or C)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(a xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((a xor C) xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(b xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((a or C) xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(a xor (B or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((a xor C) xor B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(a xor ((A and C) or (B xor C)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(B xor ((B and C) or a))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(a xor B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b or C) xor A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(b xor ((B and C) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((a or C) xor B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(a xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((a xor C) xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(C or (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((a or B) and (a xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((c or B) and a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(b xor (C or (A xor B)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(C xor ((B and C) or a))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(a xor C)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((c or B) xor A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(c xor ((B and C) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(a and (c or b))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((B and C) xor a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
a
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((B and C) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c or B) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(c xor ((b and C) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((b and C) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(a or C)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (a or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(b xor (A or (B xor C)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b or A) xor (C or (A xor B)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((c and a) or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(C xor (a or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((A and B) or (a xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((b xor C) xor ((c and B) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((a xor C) or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((b or C) xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(b xor ((c and B) or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((c and B) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(a or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c and (A or B)) xor b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((a xor B) or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(a or (B xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 0
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((a or C) or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((b or A) and (b xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((b or a) and (b xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(b xor C)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c or A) and b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(a xor (C or (A xor B)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((a and C) xor b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(c xor ((A and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((c or a) and b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((A and C) xor b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(A xor (C or (a xor B)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(c xor ((a and C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
b
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((A and C) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((a and C) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(b or C)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (b or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(a xor ((A xor C) or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(C xor (b or A))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((A and B) or (b xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((a or B) xor (C or (A xor B)))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((c and b) or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((b and A) or ((a xor C) xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((b xor C) or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((a or C) xor (A or B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((c and A) or (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((c and (A or B)) xor a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((a xor B) or (A xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c and A) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(b or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(b or (A xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 0
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((b or C) or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(c and (b or a))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(C xor (b or a))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(((a xor C) or B) xor A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((a and B) or (b xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((a or B) xor (A or C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((b and A) or (a xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((b and (A or C)) xor a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((a xor C) or (A xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
(((a xor B) or (B xor C)) xor A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((c and (A or B)) xor (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((c and b) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((b xor C) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((c and a) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(b or (a xor C))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(b or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 0
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((b or C) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
c
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
((A and B) or c)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
((a and B) or c)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
(c or B)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
((b and A) or c)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
(c or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
(c or (A xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 0
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
((c or B) or A)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 0
boolean equation:
((b and a) or c)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 0
1 1 1 1
boolean equation:
(c or (a xor B))
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 0
boolean equation:
(c or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 0
1 1 0 2
1 1 1 1
boolean equation:
((c or B) or a)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 0
boolean equation:
(c or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 0
1 1 1 1
boolean equation:
((c or A) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 0
boolean equation:
((c or a) or b)
******************************
******************************
C B A Outputs
0 0 0 128
0 0 1 64
0 1 0 32
0 1 1 16
1 0 0 8
1 0 1 4
1 1 0 2
1 1 1 1
boolean equation:
(ONE)
******************************Online