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Integer or Fractional Data Formats
Table D-1
shows the ranges of signed numbers representable in the frac-
tional formats that are possible with 16 bits.
Table D-1. Fractional Formats and Their Ranges
Format # of
Integer
Bits
1.15
1
2.14
2
3.13
3
4.12
4
5.11
5
6.10
6
7.9
7
8.8
8
9.7
9
10.6
10
11.5
11
12.4
12
13.3
13
14.2
14
15.1
15
16.0
16
D-4
ADSP-BF53x/BF56x Blackfin Processor Programming Reference
# of
Max Positive Value
Fractional
(0x7FFF) In Decimal
Bits
15
0.999969482421875
14
1.999938964843750
13
3.999877929687500
12
7.999755859375000
11
15.999511718750000
10
31.999023437500000
9
63.998046875000000
8
127.996093750000000
7
255.992187500000000
6
511.984375000000000
5
1023.968750000000000
4
2047.937500000000000
3
4095.875000000000000
2
8191.750000000000000
1
16383.500000000000000 –16384.0
0
32767.000000000000000 –32768.0
Max Negative
Value of 1 LSB
Value (0x8000)
(0x0001) In Decimal
In Decimal
–1.0
0.000030517578125
–2.0
0.000061035156250
–4.0
0.000122070312500
–8.0
0.000244140625000
–16.0
0.000488281250000
–32.0
0.000976562500000
–64.0
0.001953125000000
–128.0
0.003906250000000
–256.0
0.007812500000000
–512.0
0.015625000000000
–1024.0
0.031250000000000
–2048.0
0.062500000000000
–4096.0
0.125000000000000
–8192.0
0.250000000000000
0.500000000000000
1.000000000000000
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