Computer Hardware User's Guide

Floating-Point Formats
5-11 Data Formats and Floating-Point Operation
Example 5–2. Negative Number
0 1 C 0 0 0 0 0 Hex value
0000 0001 1100 0000 0000 0000 0000 0000 Binary value
Exponent = 0000 0001
2
= 1
Sign = 1
Fraction = .10000
2
Value = 10.1
2
× 2
1
= 101
2
. = –3
Fraction
Implied
Sign
Example 5–3. Fractional Number
F B 4 0 0 0 0 0 Hex value
1111 1011 0100 0000 0000 0000 0000 0000 Binary value
Exponent = 1111 1011
2
= –5
Sign = 0
Fraction = .10000
2
Value = 01.1
2
× 2
–5
= .000011
2
= 3/64
Fraction
Implied
Sign
2
–5
2
–6