Decimal data type: Some programming languages gives a build-in decimal data type to represent non-repeating decimal fractions. It could be implemented either a fixed-point number or floating-point number. The denominator would be set to a fixed power of ten in the fixed-point case. A variable exponent would denote the power of ten to which the mantissa of the number is multiplied in the floating-point case.

Question

We are considering the RSA encryption scheme. The involved numbers are small, so the communication is insecure. Alice's public key (n,public_key) is (247,7). A code breaker manages to factories 247 = 13 x 19 Determine Alice's secret key. To solve the problem, you need not use the extended Euclid algorithm, but you may assume that her private key is one of the following numbers 31,35,55,59,77,89.

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Chapter 6, Problem 2RQ

Program Plan Intro

Decimal data type:

Some programming languages gives a build-in decimal data type to represent non-repeating decimal fractions.

It could be implemented either a fixed-point number or floating-point number.

The denominator would be set to a fixed power of ten in the fixed-point case.

A variable exponent would denote the power of ten to which the mantissa of the number is multiplied in the floating-point case.

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We are considering the RSA encryption scheme. The involved numbers are small, so the communication is insecure. Alice's public key (n,public_key) is (247,7). A code breaker manages to factories 247 = 13 x 19 Determine Alice's secret key. To solve the problem, you need not use the extended Euclid algorithm, but you may assume that her private key is one of the following numbers 31,35,55,59,77,89.

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