The following figure shows the algorithm for binary floating-point multiplication, which is similar to the addition one:
- Step 1. Calculating the exponent of the product
- Step 2. Multiplying the significands
- Step 3. Normalizing the product
- Step 4. Rounding the significand
- Step 5. Checking for overflow or underflow
Three comments are about the above algorithm:
- The exponent of the product is created by adding the biased exponents, being sure to subtract one bias to get the proper result.
- Set the sign bit of the product to 1 if the signs of the operands were different or to 0 if they were the same.
- The size of the exponent is used to check for overflow or underflow.
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