5 - 4 DSP96002 USER’S MANUAL MOTOROLA

Denormalized Numbers:

Represents real numbers in the form (-1)sx 2(E

min

-1+127)x 0.f
Bias of e .............. +127 ($7E)
e ...................... 0 ($00)
f....................... Non-Zero
Mantissa................ 0.f

Signed Zeros:

Represents real zeroes in the form (-1)sx 2(E

min

-1+127)x 0.0
Bias of e .............. +127 ($7F)
e ...................... 0 ($00)
f....................... Zero
Mantissa................ 0.f = 0.00...00

Signed Infinities:

Represents real infinities in the form (-1)sx 2(E

max

+1+127)x 1.0
Bias of e .............. +127 ($7F)
e ...................... 255 ($FF)
f....................... Zero
Mantissa .......... 1.f+1.00...00

NaNs (Not-a-Number):

Represents NaNs as 2(E

max

+1+127)x 1.

f

s ...................... Don’t care
Bias of e .............. n.a.
e ...................... 255($FF)
f ...................... Non-Zero: 11...11 Internal (legal) QNaN
1x...xx recognized QNaN
0x...xx SNaN

5.2.2.2 Double Precision Real Memory Format Summary

Fraction
SBiased
Exponent
63 62 52 51 0
63 0

Field Size (in bits):

s = Sign ............... 1
e = Biased Exponent .... 11
f = Fraction ........... 52

Interpretation of Sign:

Positive Mantissa: s = 0
Negative Mantissa: s = 1