# CS 0447 Lecture 22: Division and Floating-Point Representation

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Division and Floating-Point Representation
- div = how many times can you subtract B from A to get number less than B
- How to binary divde:v
divisor shifted by (n-1)
then check if it fits
if y -> 1
if n -> 0
Considered done when bit sizes of q and dividend are equal
for (n bits in dividend){
quotient << = 1
dividend shifted by right 1 and top bit (of dividend) goes into remainder
if (dividor <= remainder){
}
}
div t0, a0
remainder = HI
quotient = LO
we use mfhi/ mflo to get answers
EXAMPLE:
divisor remainder dividend quotient
101 1011 0
1 0110 0'
- Divide circuit is closely related to multiplier
Biased Notation:
signed number and add a constant
in single precision floats our constant is 127
-127 => 0
signed => biased
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