Thursday, January 05, 2006

binary constants

Some constants related to the number 2, in binary:

2 = 10

1/2 = 0.1

sqrt(2) = 1.01101010000010011110011001100111111100111011110011001001

sqrt(1/2) = 0.101101010000010011110011001100111111100111011110011001001

2^sqrt(2) = 10.1010101001000110111000101111001111111011000000000110001011

sqrt(2)^sqrt(2) = 1.1010000111101101010010001100000011010011100101010000111001

log(2) = .10110001011100100001011111110111110100011100111101111001101

1/log(2) = 1.011100010101010001110110010100101011100000101111111

log(log(2)) = -0.010111011101001111001010011011110111010110101110011110101

(log 2)^2 = 0.01111010111111101111011111111110000010110001011000111010101

phi = (sqrt(2^2+1)-1)/2 = .100111100011011101111001101110010111111101001010011111

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