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Abstract: While the Karatsuba algorithm reduces the complexity of large integer multiplication, the extra additions required minimize its benefits for smaller integers of more commonly-used bitwidths.

Divide and Conquer algorithm to multiply n-bit numbers in O(n^1.58).. This implementation works completely without using Python's "*"-operator; just "+", "-", bitwise operations and a lookup table.

C library developed to perform arithmetic operations on integers of arbitrary length and Karatsuba algorithm has been implemented for performing multiplication of ...