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Section 6 Floating-Point Unit
SH7751 Group, SH7751R Group
Page 174 of 1128
R01UH0457EJ0301 Rev. 3.01
Sep 24, 2013
63
s
e
f
62
52 51
0
Figure 6.2 Format of Double-Precision Floating-Point Number
The exponent is expressed in biased form, as follows:
e = E + bias
The range of unbiased exponent E is E
min
– 1 to E
max
+ 1. The two values E
min
– 1 and E
max
+ 1 are
distinguished as follows. E
min
– 1 indicates zero (both positive and negative sign) and a
denormalized number, and E
max
+ 1 indicates positive or negative infinity or a non-number (NaN).
Table 6.1 shows bias, E
min
, and E
max
values.
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.
Содержание SH7751 Group
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Страница 1152: ...Appendix C Mode Pin Settings SH7751 Group SH7751R Group Page 1098 of 1128 R01UH0457EJ0301 Rev 3 01 Sep 24 2013 ...
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