Texas Instruments TMS320C3x User Manual

Page 133

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Floating-Point Multiplication

5-28

Figure 5–16. Flowchart for Floating-Point Multiplication

α

(

man)

b(man)

α

(

exp)

b(exp)

(1)

(2)

Multiply mantissas

Add exponents

c(man) =

α

(

man) x b(man)

(50-bit result)

c(exp) =

α

(

exp) + b(exp)

Put

c(man) in extended pre-

cision floating-point format

Test for special cases of

c(man)

c(man) > > 1

and

c(exp) = c(exp) + 1

c(man) > > 2

and

c(exp) = c(exp) + 2

c(exp) =– 128

(4)

Right shift 1
to normalize

(5)

Right shift 2
to normalize

(3)

c(man) = 0

(6)

No shift

to normalize

Dispose of extra bits

Test for special cases of

c(exp)

(12)

c(exp) underflow

(13)

c(exp) in range

(11)

c(exp) overflow

If

c(man) > 0,

set

c(exp) to most

positive value

If

c(man) < 0,

set

c(exp) to most

negative value

c(exp) = –128

c(man) = 0

Set

c to final result

c =

α

x

b

(14)

(15)

(16)

(10)

(9)

(8)

(7)

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