Texas Instruments TMS320C64X User Manual
Page 152
Fractional Q Formats
A-4
A.2.3 Q.31 Format
Q.31 format spans two 16-bit memory words. The 16-bit word stored in the
lower memory location contains the 16 least significant bits, and the higher
memory location contains the most significant 15 bits and the sign bit. The
approximate allowable range of numbers in Q.31 representation is (−1,1) and
the finest fractional resolution is 2
−31
= 4.66
×
10
−10
.
Table A−3. Q.31 Low Memory Location Bit Fields
Bit
15
14
13
12
…
3
2
1
0
Value
Q15
Q14
Q13
Q12
…
Q3
Q2
Q1
Q0
Table A−4. Q.31 High Memory Location Bit Fields
Bit
15
14
13
12
…
3
2
1
0
Value
S
Q30
Q29
Q28
…
Q19
Q18
Q17
Q16