Freescale Semiconductor SC140 specifications Two’s Complement Rounding No Scaling

Models: SC140

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DALU

Figure 2-6 shows the four cases for rounding a number in the Dn.h register. If scaling is set in the SR, the rounding position is updated to reflect the alignment of the result when it is transferred to the data bus. However, the contents of the register are not scaled.

Case I: If D0.l < $8000 (1/2), then round down (add nothing)

Before Rounding

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

 

 

 

D0.e

D0.h

 

D0.l

X X . . X X

X X X . . . X X X 0 1 0 0

0 1 1 X X X . . . . X X X

39

32 31

16 15

0

After Rounding

 

 

 

 

D0.e

D0.h

 

D0.l*

X X . . X X

X X X . . . X X X 0 1 0 0

0 0 0 . . .

. . . . . . 0 0 0

39

32 31

16

15

0

Case II: If D0.l > $8000 (1/2), then round up (add 1 to D0.h)

Before Rounding

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

 

 

 

 

D0.e

D0.h

 

D0.l

X X . . X X

X X X . . . X X X 0 1 0 0

1 1 1 0 X X . . . . X X X

39

32 31

16 15

0

After Rounding

 

 

 

 

D0.e

D0.h

 

D0.l*

X X . . X X

X X X . . . X X X 0 1 0 1

0 0 0 . . .

. . . . . . 0 0 0

39

32 31

16

15

0

Case III: If D0.l = $8000 (1/2), and the LSB of D0.h = 0, then round up (add 1 to D0.h)

Before Rounding

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

 

 

 

 

D0.e

D0.h

 

D0.l

X X . . X X

X X X . . . X X X 0 1 0 0

1 0 0 0 . . . . . . . . 0 0 0

39

32 31

16 15

0

After Rounding

 

 

 

 

D0.e

D0.h

 

D0.l*

X X . . X X

X X X . . . X X X 0 1 0 1

0 0 0 . . .

. . . . . . 0 0 0

39

32 31

16

15

0

Case IV: If D0.l = $8000 (1/2), and the LSB of D0.h = 1, then round up (add 1 to D0.h)

Before Rounding

 

 

 

 

 

 

 

 

 

 

 

1

 

 

 

 

 

 

 

 

 

 

 

D0.e

D0.h

 

D0.l

X X . . X X

X X X . . . X X X 0 1 0 1

1 0 0 0 . . . . . . . . 0 0 0

39

32 31

16 15

0

After Rounding

 

 

 

 

D0.e

D0.h

 

D0.l*

X X . . X X

X X X . . . X X X 0 1 1 0

0 0 0 . . .

. . . . . . 0 0 0

39

32 31

16

15

0

*D0.l is always cleared, performed during RND, MPYR, and MACR.

Figure 2-6. Two’s Complement Rounding (No Scaling)

2-24

SC140 DSP Core Reference Manual

Page 56
Image 56
Freescale Semiconductor SC140 specifications Two’s Complement Rounding No Scaling