Floating Point Representation

Numbers are represented by:

X = (-1)s ???2E-127 ?????M

S := 1-bit field ; Sign bit

E := 8-bit field; Exponent: Biased integer, 0 ? E ?? 255.

M:= 23-bit field; Mantissa: Normalized fraction with hidden 1 (don’t actually store it)

0

22

30

23-bit

8-bit

Mantissa

exp

s

Single precision floating point number

uses 32-bits for representation

31

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