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Floating-Point Unit
6-8
M68060 USER’S MANUAL
MOTOROLA
Table 6-4. Single-Precision Real Format Summary
Data Format
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 1.f
Relation to Representation of Real Numbers (–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 0.f
Relation to Representation of Real Numbers (–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 FPU
1xxxx…xxxx
0xxxx…xxxx
xxxxx…xxxx
11111…1111
Approximate Ranges
Maximum Positive Normalized 3.4
×
1038
Minimum Positive Normalized 1.2
×
10–38
Minimum Positive Denormalized 1.4
×
10–45
se f
31 30 23 22 0
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