# Chapter4_3 - Chapter 4(Lect 3 Binary Multiplier Magnitude...

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Chapter 4 (Lect 3) Binary Multiplier Magnitude Comparator Decoders

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Binary Multiplication 1 1 0 X 1 1 1
Binary Multiplier A 2 A 1 A 0 X B 2 B 1 B 0 ------------------------------------------------------------------------------------------------------------ A 2 B 0 A 1 B 0 A 0 B 0 A 2 B 1 A 1 B 1 A 0 B 1 A 2 B 2 A 1 B 2 A 0 B 2 ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- What type of logic operations are we doing?

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Multiplier Circuit A 2 A 1 A 0 X B 2 B 1 B 0 ------------------------------------------------------------------------------------------------------------ A 2 B 0 A 1 B 0 A 0 B 0 A 2 B 1 A 1 B 1 A 0 B 1 A 2 B 2 A 1 B 2 A 0 B 2 ----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Magnitude Comparator: Combinational circuit that compares two numbers and determines their relative magnitudes. For example given two numbers A and B we want to determine if A > B A < B A = B We may have a temperature sensor in a server room that is providing digital data (B) to a monitoring circuit. The number A may Represent an upper limit, then if A > B do nothing A = B do nothing A < B sound the alarm!

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Magnitude Comparator: Truth Table approach with two 2-bit numbers A and B a 1 a 0 b 1 b 0 A=B A>B A<B 0 0 0 0 0 0 0 1 0 0 10 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 How large table for 4-bit numbers? Do you really want to do it this way?
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Chapter4_3 - Chapter 4(Lect 3 Binary Multiplier Magnitude...

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