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MOTOROLA M68040 USER’S MANUAL 9- 9
Table 9-4. Double-Precision Real Format Summary
Data Format
sef
63 62 52 51 0
Field Size (in Bits)
Sign (s) 1
Biased Exponent (e) 11
Fraction (f) 52
Total 64
Interpretation of Sign
Positive Fraction s = 0
Negative Fraction s = 1
Normalized Numbers
Bias of Biased Exponent +1023 ($3FF)
Range of Biased Exponent 0 < e < 2047 ($7FF)
Range of Fraction Zero or Nonzero
Fraction 1.f
Relation to Representation of Real Numbers (–1) s × 2e–1023 × 1.f
Denormalized Numbers
Biased Exponent Format Minimum 0 ($000)
Bias of Biased Exponent +1022 ($3FE)
Range of Fraction Nonzero
Fraction 0.f
Relation to Representation of Real Numbers (–1) s × 2 –1022 × 0.f
Signed Zeros
Biased Exponent Format Minimum 0 ($00)
Fraction (Mantissa/Significand) 0.f = 0.0
Signed Infinities
Biased Exponent Format Maximum 2047 ($7FF)
Fraction 0.f = 0.0
NANs
Sign 0 or 1
Biased Exponent Format Maximum 255 ($7FF)
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 1.8 x 10308
Minimum Positive Normalized 2.2 x 10–308
Minimum Positive Denormalized 4.9 x 10–324
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