3
Table 3-1. Single Precision Binary Real Format
Memory Format:
Field Size (in Bits):
s = Sign
e = Biased Exponent
f = Fraction
Total
Interpretation of Sign:
Positive Mantissa, s =
Negative Mantissa, s =
Normalized Numbers:
Bias of e
Range of e
Range of f
Mantissa = Significand =
Relation to Representation of Real Numbers
Denormalized Numbers:
e = Format Minimum =
Bias of e
Range of f
Mantissa = Significand =
Relation to Representation of Real Numbers
Signed Zeros:
e = Format Minimum =
f = Mantissa = Significand =
Signed Infinities:
e = Format Maximum =
f = Mantissa = Significand =
NANs (Not-A-Number):
s =
e = Format Maximum =
f=
Representation of f
XXXX.,. XXXX
f When Created by the FPCP
Ranges (Approximate):
Maximum Positive Normalized
Minimum Positive Normalized
Minimum Positive Denormalized
31 30 23 22
IS[
BIASED
EXPONENT
FRACTION
l
8
23
32
0
1
+ 127 ($7F)
0 < e < 255 ($FF)
Zero or Nonzero
l.f
(-1) s x 2 e-127 x l.f
0 (S~0)
+ 126 ($7EJ
Nonzero
0.f
(-1)s x 2 -12B x O.f
o (soo)
O.f ~
0.0
255 ($FF)
0.f = 0,0
Don't Care
255 ($FF)
Non-Zero
0.1xxxx... xxxx, Nonsignaling
0.0xxxx... xxxx, Signaling
Nonzero B~t Pattern
.11111
...
1111
3.4 x 1038
1.2 x 10 s-3~
1.4
x
10 -45
0
J
FREESCALE
3-10
MC68881/MC68882 USER'S MANUAL
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