Consider a multiplicative congruential generator for a 16-bit machine. What is the largest signed integer that can be stored in the machine? Let the modulus equal the largest prime less than the largest integer, and let the multiplier be a constant so that the generator has a full period. First, determine by hand the first three random numbers generated with this generator giving accuracy to four digits to the right of the decimal. Second, use Excel to verify your answers. Third, verify that the multiplier yields a generator with a period equal to one less than the modulus using Excel. (Note that the initial seed does not yield a random number.) Largest possible integer (2): Modulus (largest prime number) (m): Initial random number seed: Seed 1 (Z1): Seed_2 (22): Multiplier (a): Seed 3 (Z3): 661 121 (Use Google to find the appropriate prime.) Random number_1: Random number_2: Random number_3: