Saturday, November 21, 2020

[xnaybdoo] sqrt 0.5 in various binary bases

sqrt 0.5 = sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2 = sin(2pi/8 radian) = cos(2pi/8 radian) = sin(45 degree) = cos(45 degree) ~= 0.707

each "digit" below is given in base 10, similar to the output of "bc" for bases larger than 16.  digit sequences are truncated, not rounded.

precision is one part in 2^2048.  (slightly more for base 8, 32, and 64.)  2048 bits should be enough for anyone.

Previously, for just base 256.  Also previously on this number.

base 2^1 = 2 : 0 . 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1

base 2^2 = 4 : 0 . 2 3 1 1 0 0 1 0 3 3 0 3 0 3 0 3 3 3 2 1 3 1 3 2 1 2 1 0 2 0 1 0 1 1 2 1 1 3 3 1 2 0 2 1 2 3 0 3 1 3 1 1 1 0 2 2 2 3 3 2 2 1 3 3 0 1 3 1 1 2 3 3 1 2 0 0 2 3 2 2 2 0 2 1 0 3 2 3 2 2 2 0 1 0 3 0 3 2 3 1 0 1 1 3 2 2 3 0 2 0 1 1 2 0 0 3 0 3 0 3 2 1 2 1 0 1 1 1 1 0 2 2 3 3 3 0 2 0 0 3 0 0 1 0 0 3 2 2 2 3 2 0 2 2 0 2 3 0 0 3 2 2 2 0 2 3 0 1 3 3 3 2 1 2 3 3 3 1 3 0 2 0 0 3 3 1 2 3 0 3 2 1 0 0 3 3 1 3 1 0 2 2 2 0 1 1 3 2 1 0 0 3 2 1 3 0 1 3 2 3 1 0 2 2 1 3 2 0 0 0 1 0 2 0 1 3 0 3 1 2 0 3 3 1 3 3 2 2 0 2 1 3 1 2 2 0 3 1 0 2 0 2 0 0 0 2 3 2 2 0 1 3 1 0 0 2 2 2 3 3 0 1 3 3 1 0 3 2 1 1 0 3 0 0 1 1 2 1 3 0 1 2 0 0 0 1 0 1 2 3 3 0 0 3 0 3 1 3 2 3 3 0 2 2 2 3 0 1 2 3 3 0 2 1 0 1 0 1 1 2 2 0 2 0 1 0 1 1 2 0 2 2 1 0 1 2 0 0 2 2 2 3 3 0 1 3 0 2 0 2 3 3 1 3 3 0 1 0 3 2 0 3 0 3 3 0 1 2 3 1 1 1 2 2 2 0 2 2 0 3 2 0 2 3 2 3 1 3 3 2 2 1 3 1 3 0 3 0 2 3 0 2 2 2 1 2 0 3 1 0 0 3 0 3 0 1 3 3 0 3 3 0 2 0 1 0 3 1 3 3 1 1 0 2 3 3 0 1 0 2 0 0 3 3 2 0 0 3 1 2 3 2 1 1 2 0 0 2 3 2 3 2 2 2 2 2 1 0 2 2 0 0 2 0 2 1 2 1 0 0 1 0 0 0 3 0 2 2 1 0 2 2 2 0 0 1 0 3 2 1 1 0 2 2 2 3 1 2 3 1 2 0 3 3 3 1 0 0 3 2 3 3 3 1 3 3 1 0 3 1 0 3 2 2 0 0 0 2 3 0 3 2 2 3 3 0 2 1 0 3 3 2 0 0 3 0 1 0 0 2 1 2 1 0 3 1 2 2 2 3 3 0 3 1 1 1 0 2 2 0 2 3 1 2 1 1 0 1 2 3 2 0 3 0 3 3 0 3 1 0 0 1 2 3 1 2 3 3 2 0 0 2 0 3 1 2 3 0 1 3 0 0 0 1 0 0 1 0 3 1 3 0 0 0 0 1 3 3 3 2 0 3 0 2 0 3 1 1 0 2 3 3 0 3 0 3 0 2 2 2 1 1 3 2 2 1 3 3 1 3 2 3 3 1 2 2 0 1 3 2 2 3 3 3 3 3 1 2 2 2 0 1 2 3 3 2 0 3 3 3 3 0 2 2 0 2 0 2 0 1 0 3 0 0 1 3 3 1 3 2 2 2 0 0 1 2 0 2 1 0 0 1 3 3 1 3 2 2 2 2 2 0 0 1 3 0 0 2 3 0 0 1 3 3 3 0 2 3 3 1 3 1 3 2 2 2 0 2 3 3 1 3 3 1 3 0 0 3 0 3 0 1 2 0 2 0 0 3 2 0 2 2 0 2 3 2 2 2 3 3 3 3 1 1 3 3 0 3 2 3 0 2 3 1 0 2 1 0 3 3 1 0 2 2 1 3 1 2 0 3 3 3 2 2 3 0 2 3 2 0 2 0 0 2 3 3 3 1 3 3 3 2 0 1 1 3 0 0 3 3 3 1 0 3 2 3 0 1 3 3 1 3 2 0 0 0 3 3 2 1 2 2 3 0 3 0 3 2 1 0 0 1 1 3 2 1 1 3 3 3 0 2 2 0 0 0 1 1 3 0 0 2 1 0 1 2 1 3 2 0 1 1 3 2 2 1 0 2 2 1 1 1 1 3 0 0 0 2 0 3 1 1 3 3 3 0 3 3 2 0 3 3 1 3 2 3 3 0 2 2 0 3 3 2 2 2 0 3 0 3 2 3 1 0 3 1 1 3 3 0 1 2 0 0 2 2 1 1 3 2 1 2 0 3 0 3 3 2 0 3 3 2 0 1

base 2^3 = 8 : 0 . 5 5 2 0 2 3 6 3 1 4 7 7 4 7 3 6 3 1 1 0 2 1 3 1 3 7 3 0 4 6 6 3 3 5 2 4 5 2 7 6 4 7 6 1 6 5 5 7 3 0 1 3 5 2 1 1 1 6 7 2 4 1 1 4 7 3 2 1 3 6 5 4 4 1 3 0 1 4 6 3 4 6 2 1 2 5 1 2 7 7 1 0 1 4 0 4 1 6 5 3 4 2 4 2 6 0 7 2 4 2 6 1 7 7 4 6 7 7 3 4 4 0 7 5 5 4 7 1 0 3 6 7 2 2 5 0 2 7 4 4 1 6 3 4 3 6 6 4 5 1 7 0 0 1 1 0 3 4 6 6 1 7 3 7 5 0 4 7 3 2 1 5 1 0 4 0 1 3 5 0 3 5 0 2 5 3 6 1 7 5 1 6 2 4 6 0 2 6 3 4 3 0 0 1 0 6 7 4 1 4 6 7 5 7 1 2 5 4 3 3 6 2 2 1 0 5 5 0 4 1 0 5 4 2 4 4 3 0 1 2 5 7 0 7 1 0 5 7 3 7 0 4 7 0 6 3 6 1 5 5 2 6 5 0 5 0 7 0 5 6 6 7 7 2 3 5 6 3 1 3 1 2 4 6 1 5 0 3 1 4 3 7 1 7 1 0 2 3 3 7 2 4 5 7 0 4 4 0 7 6 0 3 3 3 4 5 4 0 5 6 7 2 5 2 2 2 4 0 4 2 3 1 0 1 0 0 6 2 4 4 5 2 0 1 1 6 2 4 5 2 6 6 6 6 1 7 6 4 1 6 7 7 3 7 2 3 2 3 5 0 0 2 6 3 5 3 6 2 2 3 7 0 1 4 2 0 4 6 2 3 3 2 5 7 1 5 2 4 5 0 5 5 4 5 0 6 7 0 6 3 6 3 2 0 3 3 3 3 7 0 1 0 6 6 6 1 6 0 0 4 0 4 6 7 0 0 0 7 7 6 1 4 4 3 2 4 5 7 1 4 6 2 5 1 3 6 4 7 6 7 5 7 3 2 0 7 5 3 7 7 6 6 5 0 3 3 7 0 7 7 6 2 4 2 1 0 2 3 0 1 7 5 7 2 4 0 3 0 4 4 0 7 6 7 5 2 5 0 0 7 0 2 6 0 3 7 6 2 7 5 6 7 5 2 1 3 6 7 6 7 0 3 1 4 3 0 4 0 7 0 5 0 5 6 5 3 7 7 2 7 6 3 5 4 5 5 1 1 1 7 2 2 4 7 3 0 7 7 5 3 1 3 4 2 0 2 7 7 3 7 7 0 2 7 0 3 7 5 1 6 6 1 7 5 7 0 0 3 7 1 5 3 1 4 7 1 0 1 3 6 2 7 7 4 5 0 0 1 3 4 1 1 0 6 3 6 0 5 7 2 2 2 4 5 2 7 0 0 4 3 2 7 7 4 7 6 1 7 3 6 7 4 5 0 7 6 5 0 6 3 5 5 1 5 3 7 0 6 0 2 4 5 7 1 4 3 1 7 4 3 7 0 2

base 2^4 = 16 : 0 . 11 5 0 4 15 3 3 3 15 9 13 14 6 4 8 4 5 9 7 13 8 9 11 3 7 5 4 10 11 14 9 15 1 13 6 15 6 0 11 10 8 9 3 11 10 8 4 12 14 13 1 7 10 12 8 5 8 3 3 3 9 9 1 5 4 10 15 12 8 3 0 4 3 10 11 8 10 2 12 3 10 8 11 1 15 14 6 15 13 12 8 3 13 11 3 9 0 15 7 4 10 8 5 14 4 3 9 12 7 11 4 10 7 8 0 4 8 7 3 6 3 13 15 10 2 7 6 8 13 2 2 0 2 14 8 7 4 2 10 15 1 15 4 14 5 3 0 5 9 12 6 0 1 1 11 12 3 3 7 11 12 10 11 1 11 12 9 1 1 6 8 8 4 5 8 10 4 6 0 10 11 12 7 2 2 15 7 12 4 14 3 3 12 6 13 5 10 8 10 3 8 11 11 7 14 9 13 12 12 11 2 10 6 3 4 3 3 1 15 3 12 8 4 13 15 5 2 15 1 2 0 15 8 3 6 14 5 8 2 14 14 10 10 4 10 0 8 9 9 0 4 0 12 10 4 10 8 1 3 9 4 10 11 6 13 8 15 13 0 14 15 13 15 4 13 3 10 0 2 12 14 11 12 9 3 14 0 12 4 2 6 4 13 10 11 12 13 5 2 8 11 6 5 1 11 8 12 15 3 4 1 11 6 15 8 2 3 6 12 7 0 1 0 4 13 12 0 1 15 14 3 2 3 5 2 15 3 3 2 10 5 14 9 15 7 11 13 10 1 14 11 15 15 6 10 1 11 14 3 15 12 10 2 2 1 3 0 7 13 14 10 0 6 2 4 1 15 7 10 10 8 1 12 2 12 1 15 12 11 13 13 14 10 2 15 7 13 12 3 3 1 8 8 3 8 10 2 14 10 15 15 5 15 3 11 2 13 2 4 15 4 10 7 6 3 15 10 12 11 8 8 2 15 13 15 14 1 7 0 15 13 3 11 1 15 7 8 0 15 9 10 12 12 14 4 1 7 9 7 15 2 8 0 5 12 2 4 6 7 8 5 14 9 2 9 5 7 0 2 3 5 15 12 15 8 15 7 11 12 10 3 14 10 3 3 11 4 13 7 12 6 0 10 5 14 6 3 3 14 3 14 1

base 2^5 = 32 : 0 . 22 20 2 15 6 12 31 25 27 25 18 8 8 22 11 29 17 6 25 23 10 18 21 30 19 28 14 22 30 24 5 26 17 4 29 26 16 19 7 13 2 30 22 8 11 0 25 19 19 4 10 20 21 31 4 3 0 16 29 11 17 8 22 3 21 2 24 31 28 27 30 28 16 15 13 19 18 3 27 20 21 1 15 4 7 7 3 27 9 9 28 0 9 1 25 22 7 23 29 2 14 26 6 18 4 0 23 8 14 16 21 15 3 29 7 5 6 1 12 28 12 0 8 27 24 12 27 27 25 10 24 27 25 4 8 22 17 1 2 24 20 17 16 10 23 17 25 2 30 31 2 14 6 15 3 13 11 10 5 3 17 14 27 30 19 23 6 11 5 9 17 20 6 12 15 19 25 1 6 31 10 11 24 18 1 30 1 22 28 22 1 14 29 10 18 10 1 2 12 16 8 3 5 4 21 0 9 25 9 10 27 13 17 31 8 14 31 23 26 13 7 8 1 12 29 15 4 19 28 3 2 2 12 19 13 11 25 21 9 8 22 25 8 27 17 19 25 20 3 13 23 24 4 13 22 7 0 4 2 13 24 0 15 30 6 8 26 18 30 12 25 10 11 26 15 23 23 22 16 30 23 31 27 10 3 15 17 31 25 8 17 1 6 1 30 30 20 1 17 4 3 29 29 10 16 7 1 12 3 31 5 29 27 26 17 15 15 23 1 19 3 2 1 24 20 11 21 15 30 23 25 27 5 20 18 15 9 9 27 3 31 11 5 24 16 11 30 31 28 5 24 15 26 14 24 31 15 0 7 25 21 19 7 4 2 30 11 31 5 0 2 28 4 17 19 24 11 26 9 9 10 28 1 3 11 31 7 24 30 30 30 10 7 26 17 19 22 19 11 28 12 2 18 30 12 12 31 3 28 5

base 2^6 = 64 : 0 . 45 16 19 51 12 63 39 30 25 8 17 25 31 24 38 51 29 20 42 62 39 49 53 47 24 11 42 9 14 58 33 12 59 17 30 44 33 24 12 51 38 17 21 10 63 8 12 4 14 43 34 34 48 58 34 49 63 38 63 28 32 61 44 57 3 55 18 40 23 36 14 28 30 52 41 56 1 8 28 54 15 31 40 39 26 13 8 32 11 40 29 2 43 49 61 14 20 48 22 28 24 1 6 60 12 55 47 10 44 27 50 17 5 40 33 5 34 36 24 10 47 7 8 47 31 4 56 51 49 45 22 40 40 56 46 55 58 29 51 11 10 38 13 3 12 31 15 8 19 31 20 47 4 32 62 3 27 37 32 46 58 42 18 32 34 25 1 0 50 36 42 1 14 20 42 54 54 15 52 14 63 31 19 19 40 2 51 43 50 19 56 12 16 38 19 26 47 13 20 40 45 37 6 56 51 51 16 27 27 56 8 54 49 48 4 4 55 0 7 62 12 35 20 47 12 50 41 30 39 55 47 26 7 43 63 54 40 27 56 63 50 34 8 19 1 61 58 32 24 36 7 55 42 40 7 2 48 31 50 61 55 42 11 55 55 3 12 24 32 56 40 46 43 63 23 51 44 45 9 15 18 39 24 63 43 11 34 2 63 31 56 23 3 61 14 49 61 56 3 57 43 12 57 1 30 23 60 40 1 28 9 6 30 5 58 18 37 23 0 35 23 60 62 15 30 60 40 62 40 51 45 13 31 6 2 37 57 35 15 35 56 20

base 2^8 = 256 : 0 . 181 4 243 51 249 222 100 132 89 125 137 179 117 74 190 159 29 111 96 186 137 59 168 76 237 23 172 133 131 51 153 21 74 252 131 4 58 184 162 195 168 177 254 111 220 131 219 57 15 116 168 94 67 156 123 74 120 4 135 54 61 250 39 104 210 32 46 135 66 175 31 78 83 5 156 96 17 188 51 123 202 177 188 145 22 136 69 138 70 10 188 114 47 124 78 51 198 213 168 163 139 183 233 220 203 42 99 67 49 243 200 77 245 47 18 15 131 110 88 46 234 164 160 137 144 64 202 74 129 57 74 182 216 253 14 253 244 211 160 44 235 201 62 12 66 100 218 188 213 40 182 81 184 207 52 27 111 130 54 199 1 4 220 1 254 50 53 47 51 42 94 159 123 218 30 191 246 161 190 63 202 34 19 7 222 160 98 65 247 170 129 194 193 252 189 222 162 247 220 51 24 131 138 46 175 245 243 178 210 79 74 118 63 172 184 130 253 254 23 15 211 177 247 128 249 172 206 65 121 127 40 5 194 70 120 94 146 149 112 35 95 207 143 123 202 62 163 59 77 124 96 165 230 51 227 225

base 2^16 = 65536 : 0 . 46340 62259 63966 25732 22909 35251 30026 48799 7535 24762 35131 43084 60695 44165 33587 39189 19196 33540 15032 41667 43185 65135 56451 56121 3956 43102 17308 31562 30724 34614 15866 10088 53792 11911 17071 8014 21253 40032 4540 13179 51889 48273 5768 17802 17930 48242 12156 20019 50901 43171 35767 59868 52010 25411 12787 51277 62767 4623 33646 22574 60068 41097 36928 51786 33081 19126 55549 3837 62675 41004 60361 15884 16996 55996 54568 46673 47311 13339 28546 14023 260 56321 65074 13615 13098 24223 31706 7871 63137 48703 51746 4871 56992 25153 63402 33218 49660 48606 41719 56371 6275 35374 45045 62386 53839 19062 16300 47234 65022 5903 54193 63360 63916 52801 31103 10245 49734 30814 37525 28707 24527 36731 51774 41787 19836 24741 58931 58337

base 2^32 = 4294967296 : 0 . 3037000499 4192101508 1501399475 1967832735 493838522 2302388300 3977751685 2201196821 1258062596 985178819 2830237295 3699628857 259303518 1134328650 2013562678 1039804264 3525324423 1118773070 1392876640 297546619 3400645777 378029450 1175108722 796675635 3335891107 2344085980 3408552771 838060109 4113502735 2205046830 3936657545 2420165194 2168015542 3640463101 4107509804 3955834380 1113905852 3576215121 3100587035 1870804679 17095681 4264703279 858414751 2077892287 4137795135 3391230727 3735052865 4155146690 3254566366 2734152755 411273774 2952131506 3528411766 1068284034 4261287695 3551655808 4188851777 2038376453 3259398238 2459267107 1607438203 3393102651 1299996837 3862160353

base 2^64 = 18446744073709551616 : 0 . 13043817825332782212 6448461645324402335 2121020303797364812 17084313400885090581 5403337707126039235 12155776625644133177 1113700130682075978 8648185851495982952 15141153105693843278 5982359616459912059 14605662397873538442 5047053531031031347 14327543209926322652 14639622678973237325 17667359721036601390 16907815413746813514 9311555853750177533 17641620280135204364 4784189208739231313 13316919915597412039 73425395062551855 3686863284026875583 17771694785764135687 16041929908161249730 13978256107365719091 1766407411984626610 15154413142859888770 18302091292423878528 17990981392044861445 13999008839309291555 6903894515619111739 5583443903680603105

base 2^128 = 340282366920938463463374607431768211456 : 0 . 240615969168004511545033772477625056927 39125918719291672139992303815781226773 99673987827178621136242496635517786937 20544141285549138230620242437920663400 279304976321586875701268236209615549307 269426916280576134420709811962190253619 264296522798525918600019313753637242957 325905263232126763764468706595169159754 171767887762181571750709830317962247692 88252713933815604223286360665334363847 1354459471229911006885340788825923263 327829905469069509530474679330715369922 257853313009342924496896820539005727666 279549580833596793790786724440757630848 331875029373922367144810335307105136675 127354375241512724912757494825572623329

base 2^256 = 115792089237316195423570985008687907853269984665640564039457584007913129639936 : 0 . 81877371507464127617551201542979628307507432471243237061821853600756754782485 33917300498281149501687189061129247561459508204025345005290341391701691213672 95042558435506254669451909404107501896014350638443218155770399594612560514611 89935446346856174498325195368297245371397548123800416676992315811769991875146 58449583408725245184983187016262565192694562773578952700164246881169838323399 460898674768596871650275142409160056531510753948448155591670397724128870850 87742935669224824334928264967672599217824822186361110206072072905329394972544 112931220517314281405839104051766221926811890096097546092264602570940753372129

base 2^512 = 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096 : 0 . 9480751908109176726832526455652159260084541744031329863792443335050652303478140824795455728407420733006933090614179782624068317238241310650437075740534632 11005176407706979371978608426068826954205773049083996009376671441752800118946345812103972836299578693083566828979515937524463655085827083490218523288980042 6767999377947069725657747260014214769920484845477002944297734887678243202910469543424592042042213782044826237936313601087694301286942893396899386922533314 10159937836954975088714955065428404741438717954755485204861597474214334318233236514342023084288799815276885318644832249500255739190639174953134772079289313

base 2^1024 = 179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 : 0 . 127116100615364628366052028422228385109549339363277773668712774121205113882836385245579298214279956427891394679477132134293915806934836260631367995992135823438869876926245592272026536661973063905698010856540683205419763801114347235341470756348731874877833367845541044116835881896947807071342075615375081392714 90744035729485285793561511782835566285123094960819071261595694676881778317012320318894466350677974455438563898791821693032835159955566098285646524030547199319264115733730279992472220986625176084125367076698601831166902020947525887769810779009105787126764339188469905810007251963256442039427618595395324863457

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