1. Floating Point Operations
Addition
and
Multiplication

2. Multiplication Multiply Significands Add Exponents Normalize Round
Shift Significand
Add or Subtract shift amount to exponent
Round
To number of bits for significand
need to keep extra bits during computation
Normalize again if necessary

3. Multiplication 1 1 8-Bit Add 24-Bit Multiply Control 8-Bit Add
MUX
MUX
Control
8-Bit
Add
Normalize
Shifter
Round

4. Addition Subtract Exponents
Compare
Right Shift Significand with smaller exponent
By difference
Add/Subtract Significands (sign bits)
Normalize
Shift significand
Add or Subtract shift amount to exponent
Round
To number of bits for significand
Need to keep extra bits during computation

5. Addition 1 1 8-Bit Sub Shifter Control 24-Bit ALU Normalize Inc/Dec
MUX
MUX
Exp Diff
Shifter
Control
MUX
24-Bit
ALU
MUX
MUX
Normalize
Inc/Dec
Shifter
Round