Texas Instruments TMS320C3x - Manual (Page 139)

Floating-Point Addition and Subtraction
5-34
The following examples describe the floating-point addition and subtraction
operations. It is assumed that the data is in the extended-precision floating-
point format.
Example 5–13. Floating-Point Addition
In the case of two normalized numbers to be summed, let
α
= 1.5 = 01.1000000000000000000000000000000
×
2 0
b = 0.5 = 01.0000000000000000000000000000000
×
2 –1
It is necessary to shift b to the right by 1 so that
α
and b have the same exponent.
This yields:
b = 0.5 = 00.1000000000000000000000000000000
×
2 0
Then:
01.10000000000000000000000000000000
Ч
2
+00.10000000000000000000000000000000
Ч
2 0
010.00000000000000000000000000000000
Ч
2 0
As in the case of multiplication, it is necessary to shift the binary point one place
to the left and add 1 to the exponent. This yields:
01.1000000000000000000000000000000
Ч
2 0
±
00.1000000000000000000000000000000
Ч
2 0
01.0000000000000000000000000000000
Ч
2 1