Your friend claims that it is asymptotically faster to square an n-bit integer than to multiply...
Your friend claims that it is asymptotically faster to square an n-bit integer than to multiply two n-bit integers. Should you believe your friend? Back up your statement with arguments.
Homework Answers
I will claim my friends arguments as false. Because squaring of a n bit integer means you have to multiply two n's to get the square , even if we dont multiply and start asdding n n times it will take the same time as to multiply them. Only for some special cases of n it is possible to asymptotically faster to square an n-bit integer like when n is
100, 1100 , 11100000, values of such n will have a formula for their n square, but in general it's not asymptotically faster to square an n-bit integer.
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