Computer Hardware User's Guide
Floating-Point Multiplication
5-31
Data Formats and Floating-Point Operation
Example 5–11. Floating-Point Multiply Between Positive and Negative Numbers
Let:
α = 1.0 x 2
α
(
exp
)
= 01.00000000000000000000000 x 2
α
(
exp
)
b
= –2.0 x 2
b
(
exp
)
= 10.00000000000000000000000 x 2
b
(
exp
)
Then:
01.00000000000000000000000 × 2
α
(
exp
)
x 10.00000000000000000000000 × 2
b
(
exp
)
1110.0000000000000000000000000000000000000000000000 × 2
(
α
(
exp
)
+
b
(
exp
))
The result is:
c
= –2.0 x 2
(α(
exp
)
+
b
(
exp
))
Example 5–12. Floating-Point Multiply by 0
All multiplications by a floating-point 0 yield a result of 0 (
f
= 0,
s
= 0, and
exp
= –128).