Please implement the square-and-multiply algorithm for fast modular exponentiation. Requirements: You can choose any language you would like to use from the following: C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then include the code with a written report explaining your implementation. In addition, you need to provide the test case result of your implementation and provide a screenshot of the results in the written report. Square and Multiply Algorithm . Convert the exponent to Binary. • For the first 1, simply list the number • For each ensuing o, do Square operation • For each ensuing 1, do Square and Multiply operations 37 1 1 5 1 0 1 101 in Binary First One lists Number Zero calls for Square One calls for Square + Multiply 100101 in Binary First One lists number Zero calls for Square Zero calls for Square One calls for Square + Multiply Zero calls for Square One calls for Square + Multiply 3 (3) ² ((3) ²)²+3 N (N) ((N) 2) ² (((N) ²) ²)²N ((((N) ²) ²)²N)² ( ( ( ( (N) ²) ²) ²*N) ²) ²*N
Please implement the square-and-multiply algorithm for fast modular exponentiation. Requirements: You can choose any language you would like to use from the following: C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then include the code with a written report explaining your implementation. In addition, you need to provide the test case result of your implementation and provide a screenshot of the results in the written report. Square and Multiply Algorithm . Convert the exponent to Binary. • For the first 1, simply list the number • For each ensuing o, do Square operation • For each ensuing 1, do Square and Multiply operations 37 1 1 5 1 0 1 101 in Binary First One lists Number Zero calls for Square One calls for Square + Multiply 100101 in Binary First One lists number Zero calls for Square Zero calls for Square One calls for Square + Multiply Zero calls for Square One calls for Square + Multiply 3 (3) ² ((3) ²)²+3 N (N) ((N) 2) ² (((N) ²) ²)²N ((((N) ²) ²)²N)² ( ( ( ( (N) ²) ²) ²*N) ²) ²*N
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
![Please implement the square-and-multiply algorithm for fast modular exponentiation.
Requirements: You can choose any language you would like to use from the following:
C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then
include the code with a written report explaining your implementation. In addition, you
need to provide the test case result of your implementation and provide a screenshot of
the results in the written report.
Square and Multiply Algorithm
• Convert the exponent to Binary.
• For the first 1, simply list the number
• For each ensuing o, do Square
operation
• For each ensuing 1, do Square and
Multiply operations
37
1
0
0
1
0
1
5
1
0
1
101 in Binary
First One lists Number
Zero calls for Square
One calls for Square + Multiply
100101 in Binary
First One lists number
Zero calls for Square
Zero calls for Square
One calls for Square + Multiply
Zero calls for Square
One calls for Square + Multiply
(3) ²
((3) ²)²+3
N
(N)²
((N) 2) 2
(((N) ²) ²) ²*N
((((N) ²) ²) ²*N) ²
(((((N) 2) 2) ²*N) ²) ²*N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff8bc427-4dd5-458f-a0de-0d1350ec468a%2F42896e93-178f-4d43-907e-74eccbcf5f38%2Fidn985_processed.png&w=3840&q=75)
Transcribed Image Text:Please implement the square-and-multiply algorithm for fast modular exponentiation.
Requirements: You can choose any language you would like to use from the following:
C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then
include the code with a written report explaining your implementation. In addition, you
need to provide the test case result of your implementation and provide a screenshot of
the results in the written report.
Square and Multiply Algorithm
• Convert the exponent to Binary.
• For the first 1, simply list the number
• For each ensuing o, do Square
operation
• For each ensuing 1, do Square and
Multiply operations
37
1
0
0
1
0
1
5
1
0
1
101 in Binary
First One lists Number
Zero calls for Square
One calls for Square + Multiply
100101 in Binary
First One lists number
Zero calls for Square
Zero calls for Square
One calls for Square + Multiply
Zero calls for Square
One calls for Square + Multiply
(3) ²
((3) ²)²+3
N
(N)²
((N) 2) 2
(((N) ²) ²) ²*N
((((N) ²) ²) ²*N) ²
(((((N) 2) 2) ²*N) ²) ²*N
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