Heximal | Decimal | ||||||||||
¼ | .4000000 | 0.25000000 | 1/3 | .5555555 | 0.33333333 | ½ | .8000000 | 0.50000000 | |||
4^{-1}p | .C90FDAA | 0.78539816 | 3^{-1}p | 1.0C15238 | 1.04719755 | 2^{-1}p | 1.921FB54 | 1.57079633 | |||
p | 3.243F6A8 | 3.14159265 | 2p | 6.487ED51 | 6.28318531 | ||||||
2^{-½} | .B504F33 | 0.70710678 | 2^{½} | 1.6A09E66 | 1.41421356 | 3^{-½} | .93CD3A2 | 0.57735027 | 3^{½} | 1.BB67AE8 | 1.73205081 |
5^{-½} | .727C971 | 0.44721360 | 5^{½} | 2.3C6EF37 | 2.23606798 | 7^{-½} | .60C2479 | 0.37796447 | 7^{½} | 2.A54FF53 | 2.64575131 |
R_{n+1} | = | å_{i=0}^{n+1} Q2^{i}p_{N-n-1+i} |
= | å_{i=0}^{n+1} Q2ipN-n-1+i + Q2^{0}p_{N-n-1} | |
= | å_{i=0}^{n} Q2^{i+1}p_{N-n+i} + Qp_{N-n-1} | |
= | 2å_{i=0}^{n} Q2^{i}p_{N-n+1} + Qp_{N-n-1} | |
= | 2R_{n} + Qp_{N-n-1} |
(2^{m}a+b)(2^{n}c+d) | = | 2^{n+m}ac + 2^{m}ad + 2^{n}bc + bd | |
= | 2^{2n}ac + 2^{n}(ad+bc) + bd | if n=m | |
= | (2^{2n}+2^{n})ac + 2^{n}(a-b)(d-c) +(2^{n}+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 + ...). |