Recall the naïve divide and conquer O(n2)-time multiplication algorithm, call it NaiveD&Cmult, to multiply two n-digit numbers. Design a 8-bit multiplier using NaiveD&Cmult algorithm with basic building blocks of 1-bit multiplier and m-bit adders and shifters, m>0. Note that in class we did not consider the cases when n is not a power of two, you may have to modify the algorithm to take care of these cases. Also, we discussed algorithm using decimal digits, obviously it can be easily extended to any radix, so for this problem radix is 2.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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  1. Recall the naïve divide and conquer O(n2)-time multiplication algorithm, call it NaiveD&Cmult, to multiply two n-digit numbers. Design a 8-bit multiplier using NaiveD&Cmult algorithm with basic building blocks of 1-bit multiplier and m-bit adders and shifters, m>0. Note that in class we did not consider the cases when n is not a power of two, you may have to modify the algorithm to take care of these cases. Also, we discussed algorithm using decimal digits, obviously it can be easily extended to any radix, so for this problem radix is 2.

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