CIS 1910 Lecture Notes - Lecture 10: Idempotence, Distributive Property, Propositional Calculus

• School: University of Guelph
• Department: Computing and Information Science
• Course: CIS 1910
• Professor: Luiza Antonie

Document Summary

10 = 101, and so on: the digit that is the kth position from the right is multiplied by 10(k 1, the number 256 can be represented as: + a1 b1 + a0 b0, k n, ai (0, b 1: 11 in terms of powers of 2: 11 = 1 23 + 0 22 + 1 21 + 1 20 k = 3, a3 = 1, a2 = 0, a1 = 1, a0 = 1. 11 = (1011)2: 197 in terms of powers of 3: 197 = 2 34 + 1 33 + 0 32 + 2 31 + 2 30 k = 4, a4 = 2, a3 = 1, a2 = 0, a1 = 2, a0 = 2. = 2 44 + 1 43 + 3 42 + 3 41 + 1 40. = (((2 4 + 1) 4 + 3) 4 + 3) 4 + 1. 7 = 2 3 + 1 = 2.