Binary Multiplication
D-4
ADSP-BF535 Blackfin Processor Hardware Reference
Table D-1
shows the ranges of signed numbers representable in the frac-
tional formats that are possible with 16 bits.
Binary Multiplication
In addition and subtraction, both operands must be in the same format
(signed or unsigned, radix point in the same location) and the result for-
mat is the same as the input format. Addition and subtraction are
performed the same way whether the inputs are signed or unsigned.
Table D-1. Fractional Formats and Their Ranges
Format
# of
Integer
Bits
# of
Fractional
Bits
Max Positive Value
(0x7FFF) In Decimal
Max Negative
Value (0x8000)
In Decimal
Value of 1 LSB
(0x0001) In Decimal
1.15
1
15
0.999969482421875
–1.0
0.000030517578125
2.14
2
14
1.999938964843750
–2.0
0.000061035156250
3.13
3
13
3.999877929687500
–4.0
0.000122070312500
4.12
4
12
7.999755859375000
–8.0
0.000244140625000
5.11
5
11
15.999511718750000
–16.0
0.000488281250000
6.10
6
10
31.999023437500000
–32.0
0.000976562500000
7.9
7
9
63.998046875000000
–64.0
0.001953125000000
8.8
8
8
127.996093750000000
–128.0
0.003906250000000
9.7
9
7
255.992187500000000
–256.0
0.007812500000000
10.6
10
6
511.984375000000000
–512.0
0.015625000000000
11.5
11
5
1023.968750000000000
–1024.0
0.031250000000000
12.4
12
4
2047.937500000000000
–2048.0
0.062500000000000
13.3
13
3
4095.875000000000000
–4096.0
0.125000000000000
14.2
14
2
8191.750000000000000
–8192.0
0.250000000000000
15.1
15
1
16383.500000000000000 –16384.0
0.500000000000000
16.0
16
0
32767.000000000000000 –32768.0
1.000000000000000
Summary of Contents for ADSP-BF535 Blackfin
Page 80: ...Development Tools 1 26 ADSP BF535 Blackfin Processor Hardware Reference...
Page 312: ...Working With Memory 6 86 ADSP BF535 Blackfin Processor Hardware Reference...
Page 332: ...System Interfaces 7 20 ADSP BF535 Blackfin Processor Hardware Reference...
Page 360: ...Dynamic Power Management Controller 8 28 ADSP BF535 Blackfin Processor Hardware Reference...
Page 446: ...Beginning and Ending an SPI Transfer 10 40 ADSP BF535 Blackfin Processor Hardware Reference...
Page 522: ...Timing Examples 11 76 ADSP BF535 Blackfin Processor Hardware Reference...
Page 562: ...IrDA Support 12 40 ADSP BF535 Blackfin Processor Hardware Reference...
Page 608: ...PCI I O Issues 13 46 ADSP BF535 Blackfin Processor Hardware Reference...
Page 672: ...References 14 64 ADSP BF535 Blackfin Processor Hardware Reference...
Page 810: ...SDRAM Controller SDC 18 86 ADSP BF535 Blackfin Processor Hardware Reference...
Page 811: ...ADSP BF535 Blackfin Processor Hardware Reference 18 87 External Bus Interface Unit...
Page 812: ...SDRAM Controller SDC 18 88 ADSP BF535 Blackfin Processor Hardware Reference...
Page 860: ...DMA Bus Debug Registers 20 30 ADSP BF535 Blackfin Processor Hardware Reference...