# Prelab6.pdf

## Electrical Engineering 332 with Ta at George Mason University *

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Name: G Number: Pre-Laboratory #Binary Multiplier Circuit ECE 332 1 Introduction This pre-lab consists of two parts. Part one of this pre-lab is a questionaire section. You have to write answers for some general questions on multipliers. In part two of pre-lab you are going to multiply two 3-bit numbers. Go through each step carefully because you are going to write VHDL code for multiplying two 3-bit numbers as a part of Lab-Multiplier. Part 1 2 Short questions on Multiplication on binary numbers If you multiply an n-bit number with an m-bit number the result will be of bits in length. Explain the term Partial product. List the type of gates (AND, OR etc) you are going to use to realize a partial product. List the type of gates (AND, OR etc) and the modules (Half Adder, Full Adder etc) you are going to use to realize a multiplication in binary numbers. 1 ECE 332 Pre-Lab Multiplier 2 Part 2 3 Example on Multipliers A and B are two 3-bit binary numbers having the binary values of 111 and 110 respectively. Calculate C such that C= A multiply B or A * B. What is the Length of C i.e how many bits does āCā consists of ? Do the calculation in the space provided. Indicate partial products in your calculation. ECE 332 Pre-Lab Multiplier 3 3.1 Expressions for Partial Products Derive the expressions for the Partial Product when you multiply A and B. Where A = 3-bit number!represented by A2A1A0: B = 3-bit number!represented by B2B1B0: Partial products are represented by P1;P2 etc: ECE 332 Pre-Lab Multiplier 4 3.2 Circuit Diagram Draw the Circuit diagram which implements a 3x3 bit multiplier.

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