Design a circuit which computes the square of a number, Computer Engineering

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Design a circuit which computes the square of a number?

This should not make use of any multiplier circuits. This should use Multiplexers and some other logic as:

1^2=0+1=1

2^2=1+3=4

3^2=4+5=9

4^2=9+7=16

5^2=16+9=25

Consider a pattern to get the next square; all you should do is adding the subsequent odd number to the earlier square which you found. Consider how 1,3,5,7 and at last 9 are added. Wouldn’t it be a likely solution to your question since this only will use a counter, multiplexer and a couple of adders? This seems this would take n clock cycles to compute square of n.


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