The Division Theorem • Theorem Let n be a fixed integer ≥ 2. For
... • Simple pseudo-random number generators can be given using modular arithmetic. We choose a large modulus, often related to word size in memory, like 231 −1. Then we choose an integer seed a0, using it as the base case for an inductive definition an+1 = (16, 807 · an) mod (231 − 1). (The number 16,8 ...
... • Simple pseudo-random number generators can be given using modular arithmetic. We choose a large modulus, often related to word size in memory, like 231 −1. Then we choose an integer seed a0, using it as the base case for an inductive definition an+1 = (16, 807 · an) mod (231 − 1). (The number 16,8 ...
Section 2.1: Shift Ciphers and Modular Arithmetic
... • When the uppercase MOD is used, we are interested in only the specific integer remainder r when a number is divide by a modulus. The lowercase mod notation with the ≡ is used when we are looking for a set of numbers that have the same integer remainder when divided by a modulus. In this class, we ...
... • When the uppercase MOD is used, we are interested in only the specific integer remainder r when a number is divide by a modulus. The lowercase mod notation with the ≡ is used when we are looking for a set of numbers that have the same integer remainder when divided by a modulus. In this class, we ...
