Simulation and Modeling20785 marksNumerical: Multiplicative congruential methodMethods of generation of Random Number
Use Multiplicative congruential method to generate a sequence of random numbers with X=7, a=11 m=16.
Use Multiplicative congruential method to generate a sequence of random numbers with X=7, a=11 m=16. [5]
Parameter Value ------------------ $X0$ (seed) 7 $a$ (multiplier) 11 $m$ (modulus) 16 $c$ 0 (multiplicative case) Recurrence: $X{n+1} = (a \cdot Xn) \bmod m = (11 \cdot Xn) \bmod 16$ Iteration 1: $$X1 = (11 \times 7) \bmod 16 = 77 \bmod 16 = 13 \quad (77 = 4\times16 + 13)$$ $$R1 = \frac{13}{16} =...