You are to design a circuit that calculates the Hamming distance between two 5-bit numbers. It...
You are to design a circuit that calculates the Hamming distance
between two 5-bit
numbers. It takes two 5-bit binary numbers A4 A3 A2 A1 A0 and B4
B3B 2B1 B0 as inputs and
returns the number of bits that are different between the two
numbers as the 3-bit binary
output O2 O1 O0. For example:
*If the two input numbers were 10111 and 00001 then the output
would be 011 as there
are 3 bits different between them.
*If the two input numbers were 11111 and 11111 then the output
would be 000 as there
are no bits different.
*If the two input numbers were 11111 and 00000 then the output
would be 101 as all 5 bits
are different.
(a) A full adder will be useful in your design of the Hamming
distance calculator.
It has 3 inputs A, B and Cin and 2 outputs Cout and S. Construct
the truth table for a full adder.
(b) Design the circuit for the Hamming distance calculator. Your
design can make
use of AND gates, OR gates, NOT gates, XOR gates, and Full Adders
as required.
Homework Answers
(a)
(b)
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You are to design a circuit that calculates the Hamming distance
between two 5-bit
numbers. It...
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