6.
Floating-Point Unit (FPU)
Rev.1.00 Jan. 10, 2008 Page 127 of 1658
REJ09B0261-0100
Table 6.1
Floating-Point Number Formats and Parameters
Parameter Single-Precision Double-Precision
Total bit width
32 bits
64 bits
Sign bit
1 bit
1 bit
Exponent field
8 bits
11 bits
Fraction field
23 bits
52 bits
Precision
24 bits
53 bits
Bias +127
+1023
E
max
+127
+1023
E
min
–126
–1022
Floating-point number value v is determined as follows:
If E = E
max
+ 1 and f
≠
0, v is a non-number (NaN) irrespective of sign s
If E = E
max
+ 1 and f = 0, v = (–1)
s
(infinity) [positive or negative infinity]
If E
min
≤
E
≤
E
max
, v = (–1)
s
2
E
(1.f) [normalized number]
If E = E
min
– 1 and f
≠
0, v = (–1)
s
2
Emin
(0.f) [denormalized number]
If E = E
min
– 1 and f = 0, v = (–1)
s
0 [positive or negative zero]
Table 6.2 shows the ranges of the various numbers in hexadecimal notation. For the signaling non-
number and quiet non-number, see section 6.2.2, Non-Numbers (NaN). For the denormalized
number, see section 6.2.3, Denormalized Numbers.
Содержание SH7781
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