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 />
Start<br />
Is one/both<br />
operands =0?<br />
Simplified <strong>Float<strong>in</strong>g</strong> <strong>Po<strong>in</strong>t</strong><br />
Multiplication Flowchart<br />
Set the result to zero:<br />
exponent = 0<br />
(2)<br />
(3)<br />
(4)<br />
(5)<br />
Compute sign <strong>of</strong> result: Xs XOR Ys<br />
Multiply the mantissas<br />
Round or truncate the result mantissa<br />
Compute exponent:<br />
biased exp.(X) + biased exp.(Y) - bias<br />
Normalize mantissa if needed<br />
(6)<br />
Generate exception<br />
or return error<br />
Overflow or<br />
Underflow?<br />
Done<br />
EECC250 - Shaaban<br />
#14 lec #17 W<strong>in</strong>ter99 1-27-2000
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