Question

Write pseudocode for left to right binary exponentiation evaluation. Apply the algorithm `for evaluating a280 and show a step by step result.

07 Aug 2023
Answer :
Word Count : 537

 Here's the pseudocode for left-to-right binary exponentiation:


function binaryExponentiation(base, exponent):
    result = 1
    binaryExponent = convertToBinary(exponent)
    
    for i = 0 to length(binaryExponent) - 1:
        result = result * result
        if binaryExponent[i] == 1:
            result = result * base
    
    return result
 

Now let's apply this algorithm to evaluate `a^280`, where `a` is the base.

To evaluate `a^280`, we need to convert the exponent `280` into binary form. In binary, `280` is `100011000`. Let's proceed step by step:


base = a
exponent = 280
binaryExponent = convertToBinary(280) = 100011000

result = 1

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