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Combinational Logic Circuits
• Magnitude Comparator
Digital Comparator
Digital or Binary Comparators :
•
•
•
•
•
•
Magnitude Comparator
•
•
•
•
•
• For A<B  A’B
• A>B AB’
• A=B  A’B’+AB
Logic Circuit



2-Bit Magnitude Comparator
•
A>B: A1B1’ + A0B1’B0’ + A1A0B0’ A=B: (A0 Ex-Nor B0) (A1 Ex-Nor B1)
A<B: A1’B1 + A0’B1B0 + A1’A0’B0
Logic Circuit
Similarly try for 3 bit Magnitude Comparator..
4-Bit Magnitude Comparator
•
• 3 2 1 0
3 2 1 0
3 3
3 3 2 2
3 3
3 3 2 2
3 3 2 2 1 1
3 3 2 2 1 1 0 0
• 3 3 3 3 2 2 3 3 2 2
1 1 3 3 2 2 1 1 0 0
• 3 2 1 0
3 2 1 0
3 3 2 2 1 1 0 0
•
3 3
3 3 2 0 2
3 3
3 3 2 0 2
3 3 2 2 1 1
3 3 2 2 1 1 0 0
•
3 3 3 3 2 2 3 3 2
1 1 3 3 2 2 1 1 0 0
(A3’B3+A3B3’)’ = A3’B3’+A3B3
A3’B3
A3B3’
LogicCircuit
In Next Class
• Magnitude Comparators Eg.
• A
Magnitude Comparator

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Magnitude Comparator and types of MC