1. Converting floating-point numbers from the hexadecimal ...
1. Converting floating-point numbers from the hexadecimal into the decimal format
The following diagram shows the arrangement of bits of IEEE floating-point numbers. Bit 31 = sign, bits 23 to 30 = exponent and bits from 0 to 22 = mantisse.
Bit
31
24 23
16 15
87
0
V E E E E E E E EMMMMMMMMMMMMMMMMMMMMMMM
Exponent
Mantisse
Sign
The representation of a floating-point number (-1)VZ ? m ? 2e comprises: VZ = sign (0 ? positive, 1 ? negative) e = exponent (e = exp - 127) m = mantisse (m = 1.M ; 1 ................
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