Time complexity in n bit array multiplication
Consider an array multiplier for multiplying two n bit numbers. If each gate in the circuit has a unit delay, the total delay of the multiplier is ?
- Θ(1)
- Θ(logn)
- Θ(n)
- Θ(n^2)
Solution
If you see the image above you will notice that delay caused is diagonal to the array.
So the delay is approxiamtely sqrt(2)*(2n-1).
Which is Θ(n)
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