Question
8. (2 pts) For this problem, assume 4 bits precision. Add two binary numbers, 1.110 two x 2 -7 and 1.010 two x 2 -5
8. (2 pts) For this problem, assume 4 bits precision. Add two binary numbers, 1.110 two x 2 -7 and 1.010 two x 2 -5 by showing the following steps:
Step1: The significand of the number with the lesser exponent is shifted right to match the exponent of the larger number.
Step2: Add the significands. (you can assume that you can carry all digits)
Step3: Normalize the sum, determine whether there is an overflow or an underflow.
Step4: Truncate the sum (using 4 bits precision.)
9. (2 pts) For this problem, assume 4 bits precision. Multiply binary two binary numbers, 1.110 two x 2 -7 and 1.010 two x 2 -5 showing the following steps:
Step1: Adding the exponent without bias.
Step2: Multiply the significands. (you can assume that you can carry all digits)
Step3: Normalize the product and check for an overflow or an underflow.
Step4: Truncate the product.
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