a) Show there is an identity analogous to (2 2) for decimal expansions,
b) Using part (a), multiply 73 and 87 performing only three multiplications of one-digit integers plns shift and additions.
c) Using pan (a), reduce the multiplication of 4216 and 2733 to three multiplications of two-digit integers, plus shirts and additions: then, using part (a) again, reduce each of the multiplications of two-digil integers into three multiplications of one-digit integers, plus shifts and additions. Complete the multiplication using only nine multiplications of one-digit integers, and shift and additions.
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