Floating Point Representation
The mantissa represents a fraction using binary notation: M = . s1, s2, s3 . . . = 1.0 + s1*2-1 + s2*2-2 + s3*2-3 + . . .
Example: X = -0.7510 in single precision (-(1/2 + 1/4))
-0.7510 = -0.112 = (-1) x 1.12 x 2-1 = (-1) x 1.12 x 2126-127
S = 1 ; Exp = 12610 = 0111 11102 ;
M = 100 0000 0000 0000 0000 00002