#### Abstract

The multiplication and multiply-accumulate operations are expensive to implement in hardware for Digital Signal Processing, video, and graphics applications. A standard multiply-accumulator has three inputs and a single output that is equal to the product of two of its inputs added to the third input. For some applications it is desirable for a multiply-accumulator to have two outputs; one output that is the product of the first two inputs, and a second output that is the multiply-accumulate result. The goal of this thesis is to investigate algorithms and architectures used to design multipliers and multiply-accumulators, and to create a multiply-accumulator that computes both outputs in a single clock cycle. Often times in high speed designs the most time-consuming operations are pipelined to meet the system timing requirements. If the multiply-accumulate computation can be reduced to a single-cycle operation the overall processor performance can be improved for many applications. A multiply-accumulator with two outputs can be created using a combination of standard multiply, add, or multiply-accumulate components. Using these components, a multiplier and a multiply-accumulator can be used to produce the outputs in the most time-efficient manner. A multiplier and an adder will result in a smaller design with a larger worst-case delay. Therefore, the goal is to create a multiply-accumulator that is comparable in speed, but requires less area than a design using an industry standard multiplier and multiply-accumulator.

#### Library of Congress Subject Headings

Computer engineering; Multipliers (Mathematical analysis)--Design; Signal processing--Digital techniques

#### Publication Date

8-1-2003

#### Document Type

Thesis

#### Department, Program, or Center

Electrical Engineering (KGCOE)

#### Advisor

Patru, Dorin

#### Advisor/Committee Member

Phillips, Daniel

#### Recommended Citation

Childs, John, "A Synthesizable single-cycle multiply-accumulator" (2003). Thesis. Rochester Institute of Technology. Accessed from

https://scholarworks.rit.edu/theses/5606

#### Campus

RIT – Main Campus

## Comments

Note: imported from RIT’s Digital Media Library running on DSpace to RIT Scholar Works. Physical copy available through RIT's The Wallace Library at: TK7888.3 .C45 2003