Generating code for the expression: Assume the task of creating code for the expression “ x * K ” for some constant “K”. The compiler can express the binary representation of “K” by using as an alternating sequence of zeros and ones. The expression is represented by [ ( 0 .... 0 ) ( 1 .... 1 ) ( 0 ... 0 ) ...... ( 1 .... 1 ) ] . Consider a run of ones from bit position “n” down to bit position “m”. Compute the effect of bits on the product: User can determine the effect of bits on the product using two different forms such as Form A and Form B. Form A: The form A is represented by ( x<<n ) + ( x<< ( n - 1 ) ) + .... + ( x<<m ) . Form B: The form B is represented by ( x<< ( n + 1 ) ) - ( x<<m ) .

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Chapter 2.3, Problem 2.39PP

Program Plan Intro

Generating code for the expression:

Assume the task of creating code for the expression “x * K” for some constant “K”.

The compiler can express the binary representation of “K” by using as an alternating sequence of zeros and ones.

The expression is represented by [(0....0)(1....1)(0...0)......(1....1)].

Consider a run of ones from bit position “n” down to bit position “m”.

Compute the effect of bits on the product:

User can determine the effect of bits on the product using two different forms such as Form A and Form B.

Form A:

The form A is represented by (x<<n) + (x<<(n - 1)) + .... + (x<<m).

Form B:

The form B is represented by (x<<(n + 1)) - (x<<m).

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