When calculating the multiplicative inverse of 62 mod 127 you calculate the extended GCD until you find a remainder of 1. In doing so you will compute three remainders, and each remainder can be expressed as a linear combination of the original two numbers. Fill in the blanks with the sequence of remainders that are computed when calculating egcd(127,62) and the linear combination of 127's and 62's that gives you each remainder. To help, I've filled in the last row for you.   Double check your work because an error in any row will propagate to the next and cause additional incorrect answers.

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When calculating the multiplicative inverse of 62 mod 127 you calculate the extended GCD until you find a remainder of 1. In doing so you will compute three remainders, and each remainder can be expressed as a linear combination of the original two numbers. Fill in the blanks with the sequence of remainders that are computed when calculating egcd(127,62) and the linear combination of 127's and 62's that gives you each remainder. To help, I've filled in the last row for you.

 

Double check your work because an error in any row will propagate to the next and cause additional incorrect answers.

Remainder
127's
62's
1
21
-43
Transcribed Image Text:Remainder 127's 62's 1 21 -43
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