Date of Award

9-1-2021

Degree Name

Master of Science

Department

Electrical and Computer Engineering

First Advisor

Haniotakis, Themistoklis

Abstract

Binary multiplier has been a staple in the digital circuit design. It is used in microprocessor design, DSP applications etc. Here, we discuss the design of a novel multiplier that employs a modified shift and add logic to multiply two n-bit unsigned binary numbers. In our work, we changed the shift and add algorithm. We used a barrel shifter and a multiplexer to generate the partial products. We also found out a way to reduce the number of partial products so that we would have fewer numbers to add after we generated all of them. An array of Carry Save Adders (CSA) is used to add the partial products. With all our arrangements and setups, we aim to reduce delays and make the design as efficient as possible. As examples, we have shown it to multiply two 16-bit numbers, however, the design can easily be either scaled up or down according to the environment the multiplier is being used.

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