Single-Precision Real Format Summary - Motorola M68060 User Manual

Floating-Point Unit
Table 6-4. Single-Precision Real Format Summary
Sign (s)
Biased Exponent (e)
Fraction (f)
Total
Positive Fraction
Negative Fraction
Bias of Biased Exponent
Range of Biased Exponent
Range of Fraction
Fraction
Relation to Representation of Real Numbers
Biased Exponent Format Minimum
Bias of Biased Exponent
Range of Fraction
Fraction
Relation to Representation of Real Numbers
Biased Exponent Format Minimum
Fraction
Biased Exponent Format Maximum
Fraction
Sign
Biased Exponent Format Maximum
Fraction
Representation of Fraction
Nonsignaling
Signaling
Nonzero Bit Pattern Created by User
Fraction When Created by FPU
Maximum Positive Normalized
Minimum Positive Normalized
Minimum Positive Denormalized
6-8
Data Format
31 30 23 22
s e f
Field Size In Bits
Interpretation of Sign
Normalized Numbers
Denormalized Numbers
Signed Zeros
Signed Infinities
NANs
Approximate Ranges
M68060 USER'S MANUAL
0
1
8
23
32
s = 0
s = 1
+127 ($7F)
0 < e < 255 ($FF)
Zero or Nonzero
1.f
(–1) s × 2 e–127 × 1.f
0 ($00)
+126 ($7E)
Nonzero
0.f
(–1) s × 2 –126 × 0.f
0 ($00)
0.f = 0.0
255 ($FF)
0.f = 0.0
Don't Care
255 ($FF)
Nonzero
1xxxx...xxxx
0xxxx...xxxx
xxxxx...xxxx
11111...1111
3.4 × 10 38
1.2 × 10 –38
1.4 × 10 –45
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