Float format : 1 bit sign, 7 bit exponent, 16 bit significand Stored value : 001111011011100101011000 0 011 1101 1011 1001 0101 1000 . Sign bit 0 = + Biased exponent. 011 1101 654 3210 2^5 + 2^4 + 2^3 +2^2 + 2^0 = 32 16 8 4 1 = 61 bias 2(n-1)-1 2(7-1)-1 = 64 -1 = 63 Unbiased value 61 - 63 = -2 61 - 63 = -2 Adjust decimal 1.1011100101011000 x 2^-2 = .011011100101011000 Conversion of fractional binary . Total 0 x .5 (2^-1) = .0 .0 1 x .25 (2^-2) = .25 .25 1 x .125 (2^-3) = .125 .375 0 x .0625 (2^-4) = .0 .375 1 x .03125 (2^-5) = .03125 .40625 1 x .015625 (2^-6) = .015625 .421875 1 x .0078125 (2^-7) = .0078125 .4296875 0 x .00390625 (2^-8) = .0 .4296875 0 x .001953125 (2^-9) = .0 .4296875 more