Heximal | Decimal | ||||||||||||||||||||||
¼ | .4000000 | 0.25000000 | 1/3 | .5555555 | 0.33333333 | ½ | .8000000 | 0.50000000 | |||||||||||||||
4-1p | .C90FDAA | 0.78539816 | 3-1p | 1.0C15238 | 1.04719755 | 2-1p | 1.921FB54 | 1.57079633 | |||||||||||||||
p | 3.243F6A8 | 3.14159265 | 2p | 6.487ED51 | 6.28318531 | ||||||||||||||||||
2-½.B504F33 | 0.70710678 | 2½ | 1.6A09E66 | 1.41421356 | 3-½ | .93CD3A2 | 0.57735027 | 3½ | 1.BB67AE8 | 1.73205081
| 5-½ | .727C971 | 0.44721360 | 5½ | 2.3C6EF37 | 2.23606798 | 7-½ | .60C2479 | 0.37796447 | 7½ | 2.A54FF53 | 2.64575131 | |
Rn+1 | = | åi=0n+1 Q2ipN-n-1+i |
= | åi=0n+1 Q2ipN-n-1+i + Q20pN-n-1 | |
= | åi=0n Q2i+1pN-n+i + QpN-n-1 | |
= | 2åi=0n Q2ipN-n+1 + QpN-n-1 | |
= | 2Rn + QpN-n-1 |
(2ma+b)(2nc+d) | = | 2n+mac + 2mad + 2nbc + bd | |
= | 22nac + 2n(ad+bc) + bd | if n=m | |
= | (22n+2n)ac + 2n(a-b)(d-c) +(2n+1)bd. |
x/3 | = | x(1+1/2)-1/2 |
= | x(1 - 1/2 + 1/4 - 1/8 + ...)/2 | |
= | x(1/2 - 1/4 +1/8 - 1/16 + ...). |