Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20050903 12:30:04
base10 using 4 to +5I just thought this up. Use base10 but limit yourself to the digits negative Code:1 1 2 4 3 11 4 24 5 2 5 14 44 13 51 12 14 4 11 12 1 1 0 1 0 0 1 1 1 2 1 1 2 1 4 4 1 3 231 1 4 2 04 1 5 2 2 5 24 344 23 311 22 3 2 4 21 44 1 2 0 4 0 0 igloo myrtilles fourmis #3 20050903 18:07:07
Re: base10 using 4 to +5I went to bed and then I had a great idea so I got back up and worked on this through the night. Code:285 x64  18240 or in this new Winter number system we have 32 5 x 14 4  1 1 4 0 114 0 32 5  22 2 4 0 Last edited by John E. Franklin (20050904 11:01:04) igloo myrtilles fourmis #4 20050903 19:32:05
Re: base10 using 4 to +5It is interesting ... we just use decimal (apparently) because we have 10 fingers, and so we look for patterns in our decimal notation. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20050903 23:29:21
Re: base10 using 4 to +51/7 is normally 0.142857 repeating. Now it is 0.143143 repeating! I wonder what I'll find next? igloo myrtilles fourmis #6 20050905 01:27:20
Re: base10 using 4 to +5Code:Here is pi (to 30 places after the decimal) shown normally and pi in new Winter sytem. I called it the Winter system because I like winter and also you can remember that you get below zero temperatures in the winter like the numbers used here. 3. 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 3. 1 4 241 34 5 441 021 3 2 42 54 34 4 3 42 3 321 You can obtain the above conversion just by working from left to right or from right to left on the normal number pi. If you go right to left, it is very easy. Simply carry the 1 if a conversion to negative is made. So starting at the end of the above pi, look at the 9. Since 9 isn't allowed in the Winter system, you use need to think ten minus one. Nine in the Winter system is a two digit number and is written 11. A 1 in the ten's place and a 1 in the one's place. So you take the 1 and write it down below the 9. Then you carry the 1 from the ten's place. Now we convert the next digit to the left seen above and it is a seven. Since we had carried a one, we add it to the seven and get eight. Then we convert eight to the Winter system and think "eight is not allowed because it is above 5, so eight is ten minus two". So "8" is "12". So write down the 2 and carry the 1. If you run across a case where you carry a one onto a 9, then you think okay, ten, and ten is still 10 in Winter system, so write down zero and carry the one. So that's my explanation of going from right to left and converting from normal numbers to the Winter system. If you go left to right you have to look ahead a few digits to see what's coming next. The explanation of that is more complicated than going right to left, but all I think I should say is the following and let you work it out for yourself if you want to do it that way. A "0" digit may remain "0" or may change to "1". A "1" digit may remain "1" or may change to "2". A "2" digit may remain "2" or may change to "3". A "3" digit may remain "3" or may change to "4". A "4" digit may remain "4" or may change to "5". A "5" digit may remain "5" or may change to "4". A "6" digit will change to "3" or "4". A "7" digit will change to "2" or "3". A "8" digit will change to "1" or "2". A "9" digit will change to " 0" or "1". Good luck playing around with the new Winter number system. If you have any questions, just ask! Last edited by John E. Franklin (20050905 01:32:55) igloo myrtilles fourmis #7 20050905 07:24:01
Re: base10 using 4 to +51/3 = 0. 3 3 3... "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #8 20050905 11:48:16
Re: base10 using 4 to +5And the addition table. igloo myrtilles fourmis 