MC68LC040RC25A Datasheet, PDF (252/442 Pages) Freescale Semiconductor, Inc – M68040 Users Manual

Freescale Semiconductor, Inc.
Table 9-3. Single-Precision Real Format Summary
Data Format
31 30 23 22
0
se
f
Field Size In Bits
Sign (s)
1
Biased Exponent (e)
8
Fraction (f)
23
Total
32
Interpretation of Sign
Positive Fraction
s=0
Negative Fraction
s=1
Normalized Numbers
Bias of Biased Exponent
+127 ($7F)
Range of Biased Exponent
0 < e < 255 ($FF)
Range of Fraction
Zero or Nonzero
Fraction
Relation to Representation of Real Numbers
1.f
(–1) ^s × 2e–127 × 1.f
Denormalized Numbers
Biased Exponent Format Minimum
0 ($00)
Bias of Biased Exponent
+126 ($7E)
Range of Fraction
Nonzero
Fraction
Relation to Representation of Real Numbers
0.f
(–1) ^s × 2–126 × 0.f
Signed Zeros
Biased Exponent Format Minimum
0 ($00)
Fraction
0.f = 0.0
Signed Infinities
Biased Exponent Format Maximum
255 ($FF)
Fraction
0.f = 0.0
NANs
Sign
Don’t Care
Biased Exponent Format Maximum
255 ($FF)
Fraction
Nonzero
Representation of Fraction
Nonsignaling
Signaling
Nonzero Bit Pattern Created by User
Fraction When Created by FPCP
1xxxx…xxxx
0xxxx…xxxx
xxxxx…xxxx
11111…1111
Approximate Ranges
Maximum Positive Normalized
Minimum Positive Normalized
Minimum Positive Denormalized
3.4 × 1038
1.2 × 10–38
1.4 × 10–45
9-8
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