Using the multiplicative congruential method, find the period of the generator for a = 13, m = 2^{6} = 64, and $X_{0} = 1, 2, 3, 4.$

Name: Using the multiplicative congruential method, find the period of the generator for a = 13, m = 2^6 = 64, and X0 = 1, 2, 3, 4.
Uploaded: 2023-11-30T08:26:59-08:00
Duration: 4 min 13 s
Channel: Supreeta N
Description: Using the multiplicative congruential method, find the period of the generator for a = 13, m = 2^6 = 64, and X0 = 1, 2, 3, 4.

          Using the multiplicative congruential method, find the period of the generator for a = 13, m = 2^{6} = 64, and $X_{0} = 1, 2, 3, 4.$

Added by Thomas W.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Supreeta N

11/30/2023

Step 1

Step 1: Calculate the period for x0 = 1 - Initialize x = x0 = 1 - Calculate x1 = (a * x) mod m = (13 * 1) mod 64 = 13 mod 64 = 13 - Calculate x2 = (a * x1) mod m = (13 * 13) mod 64 = 169 mod 64 = 41 - Calculate x3 = (a * x2) mod m = (13 * 41) mod 64 = 533 mod 64 = Show more…

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EXAMPLE Using the multiplicative congruential method, find the period of the generator for a=13,m=2^(6)=64, and x_(0)=1,2,3,4 EXAMPLE Using the multiplicative congruential method, find the period of the generator for a = 13, m = 26 = 64, and X0=1,2,3,4.