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參數(shù)資料
| 型號： | fp_add_sub |
| 廠商： | Altera Corporation |
| 英文描述： | Floating-Point Adder/Subtractor(浮點型加法器/減法器) |
| 中文描述： | 浮點加法器/減法（浮點型加法器/減法器） |
| 文件頁數(shù)： | 6/8頁 |
| 文件大小： | 132K |
| 代理商： | FP_ADD_SUB |
6
Altera Corporation
FS 2: fp_add_sub Floating-Point Adder/Subtractor
For a 7-bit exponent, the exponent is represented in excess 64 format, i.e.,
for an
n
-bit exponent, the representation is excess 2
(
n
– 1)
. Excess (offset)
format allows both negative and positive exponents to be represented
with positive numbers, which results in simpler calculations for exponent
handling. To represent an exponent in excess 2
(
n
– 1)
format, add 2
(
n
– 1)
to
the value of the exponent. For example, in excess 64 format, 64 is added to
the actual exponent; thus, the maximum value for the exponent is +63,
and the minimum value is –64. An exponent of 10 is represented as 74, and
an exponent of –10 is represented as 54. The exponent 0 is represented as
64.
The following examples represent 8-bit mantissa, 7-bit exponent floating-
point numbers. In this section, the subscripts “b” and “d” indicate that the
number is a binary or a decimal number, respectively.
Example 1: Largest Positive Number
+11111111
b
1111111
b
= +0.11111111
b
×
2
(1111111
b
– 1000000
b
)
= +0.11111111
b
×
2
0111111
b
= +0.11111111
b
×
2
63
d
= +11111111.0
b
×
2
55
d
= +255
d
×
2
55
d
= +9.187343239836e
×
10
18
Example 2: Largest Negative Number
–11111111
b
1111111
b
= –9.187343239836e
×
10
18
Example 3: Smallest Number (Closest to Zero)
±
10000000
b
0000000
b
=
±
0.10000000
b
×
2
(0000000
b
– 1000000
b
)
=
±
0.10000000
b
×
2
(0
d
– 64
d
)
=
±
0.10000000
b
×
2
–64
d
=
±
10000000.0
b
×
2
–72
d
=
±
128
d
×
2
–72
d
=
±
2.710505431214e
×
10
–20
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