IGNOU MPH 14 2026 - Using the linear congruential random number generator determine

Question

Using the linear congruential random number generator determine the first five random numbers given that: $x_0 = 27$ , $a = 17$ , $c = 43$ , and $m = 100$ . Transform these random numbers to lie between 0 and

19 Jan 2026

Answer :

Word Count : 317

The linear congruential generator (LCG) is defined by the formula: [ x_{n+1} = (a x_n + c) \mod m ] Given: [ x_0 = 27, \quad a = 17, \quad c = 43, \quad m = 100 ] Step 1: Calculate (x_1) [ x_1 = (17 \cdot 27 + 43) \mod 100 ] [ 17 \cdot 27 = 459 ] [ 459 + 43 = 502 ] [ 502 \mod 100 = 2 ] [ x_1 = 2 ] Step 2: Calculate (x_2) [ x_2 = (17 \cdot 2 + 43) \mod 100 ] [ 17 \cdot 2 = 34 ] [ 34 + 43 = 77 ] [ 77 \mod 100 = 77

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