Representation of Floating Point Numbers in Single Precision ...
Representation of Floating Point Numbers in Single Precision ...
Representation of Floating Point Numbers in Single Precision ...
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(1)<br />
(2)<br />
Start<br />
Compare the exponents <strong>of</strong> the two numbers<br />
shift the smaller number to the right until its<br />
exponent matches the larger exponent<br />
Add the significands (mantissas)<br />
Simplified<br />
<strong>Float<strong>in</strong>g</strong> <strong>Po<strong>in</strong>t</strong><br />
Addition<br />
Flowchart<br />
(3)<br />
Normalize the sum, either shift<strong>in</strong>g right and<br />
<strong>in</strong>crement<strong>in</strong>g the exponent or shift<strong>in</strong>g left<br />
and decrement<strong>in</strong>g the exponent<br />
(4)<br />
Overflow or<br />
Underflow ?<br />
Generate exception<br />
or return error<br />
(5)<br />
If mantissa = 0<br />
set exponent to 0<br />
Done<br />
EECC250 - Shaaban<br />
#8 lec #17 W<strong>in</strong>ter99 1-27-2000