sqrt( 00000000 )= 0000
sqrt( 00000001 )= 0001
sqrt( 00000010 )= 0001
sqrt( 00000011 )= 0001
sqrt( 00000100 )= 0010
sqrt( 00000101 )= 0010
sqrt( 00000110 )= 0010
sqrt( 00000111 )= 0010
sqrt( 00001000 )= 0010
sqrt( 00001001 )= 0011
sqrt( 00001010 )= 0011
sqrt( 00001011 )= 0011
sqrt( 00001100 )= 0011
sqrt( 00001101 )= 0011
sqrt( 00001110 )= 0011
sqrt( 00001111 )= 0011
sqrt( 00010000 )= 0100
sqrt( 00010001 )= 0100
sqrt( 00010010 )= 0100
sqrt( 00010011 )= 0100
sqrt( 00010100 )= 0100
sqrt( 00010101 )= 0100
sqrt( 00010110 )= 0100
sqrt( 00010111 )= 0100
sqrt( 00011000 )= 0100
sqrt( 00011001 )= 0101
sqrt( 00011010 )= 0101
sqrt( 00011011 )= 0101
sqrt( 00011100 )= 0101
sqrt( 00011101 )= 0101
sqrt( 00011110 )= 0101
sqrt( 00011111 )= 0101
sqrt( 00100000 )= 0101
sqrt( 00100001 )= 0101
sqrt( 00100010 )= 0101
sqrt( 00100011 )= 0101
sqrt( 00100100 )= 0110
sqrt( 00100101 )= 0110
sqrt( 00100110 )= 0110
sqrt( 00100111 )= 0110
sqrt( 00101000 )= 0110
sqrt( 00101001 )= 0110
sqrt( 00101010 )= 0110
sqrt( 00101011 )= 0110
sqrt( 00101100 )= 0110
sqrt( 00101101 )= 0110
sqrt( 00101110 )= 0110
sqrt( 00101111 )= 0110
sqrt( 00110000 )= 0110
sqrt( 00110001 )= 0111
sqrt( 00110010 )= 0111
sqrt( 00110011 )= 0111
sqrt( 00110100 )= 0111
sqrt( 00110101 )= 0111
sqrt( 00110110 )= 0111
sqrt( 00110111 )= 0111
sqrt( 00111000 )= 0111
sqrt( 00111001 )= 0111
sqrt( 00111010 )= 0111
sqrt( 00111011 )= 0111
sqrt( 00111100 )= 0111
sqrt( 00111101 )= 0111
sqrt( 00111110 )= 0111
sqrt( 00111111 )= 0111
sqrt( 01000000 )= 1000
sqrt( 01000001 )= 1000
sqrt( 01000010 )= 1000
sqrt( 01000011 )= 1000
sqrt( 01000100 )= 1000
sqrt( 01000101 )= 1000
sqrt( 01000110 )= 1000
sqrt( 01000111 )= 1000
sqrt( 01001000 )= 1000
sqrt( 01001001 )= 1000
sqrt( 01001010 )= 1000
sqrt( 01001011 )= 1000
sqrt( 01001100 )= 1000
sqrt( 01001101 )= 1000
sqrt( 01001110 )= 1000
sqrt( 01001111 )= 1000
sqrt( 01010000 )= 1000
sqrt( 01010001 )= 1001
sqrt( 01010010 )= 1001

... many cases deleted

sqrt( 11111101 )= 1111
sqrt( 11111110 )= 1111
sqrt( 11111111 )= 1111





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