EECS 1520 Lecture Notes - Lecture 3: Binary Number, Positional Notation, Octal

• School: York University
• Department: Electrical Engineering and Computer Science
• Course: EECS 1520
• Professor: Steven Castellucci

Document Summary

5743 four thousand, three hundred and fifty seven four units of a thousand (4 x 1000) three units of a hundred (3 x 100) five units of ten (5 x 10) seven units of one (7 x 1) The position of each digit determines that digit"s contribution to the number. The beauty of the idea of a positional number system: no matter what column you are in, the column to the left is the base times bigger. Example: in decimal, if you are in the hundreds column, the thousands column is ten times bigger than the hundreds column. 2. 2 any integer > 1 base: b digits: 0, 1, , b 1 number its definition. Side-by-side comparison of the first twenty-three natural numbers in four different bases. All the familiar rules and techniques of pencil-and-paper decimal arithmetic carry over to any other base. 0 1 2 3 4 5 6 7 8 9 a b c d e f.