EECS 1520 Chapter Notes - Chapter 2: Natural Number, Octal, Binary Number

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

Document Summary

Number a unit of abstract mathematical system subject to arithmetic. Natural number the number 0 & any number obtained repeatedly adding 1 to it. Negative number a value less than 0 with a negative sign. Integer a natural number, a negative of a natural number & zero. Rational factor an integer or the quotient of 2 integers, not divided by zero. Positional notation: the magnitude of a number is determined by multiplying the magnitude of the column by the digit in the column and adding the products (digits = base -1) Binary numbers: only two digits, 0 and 1. Word: a group of one or more bytes. =255 (largest decimal value that can be expressed in 8 bits) Therefore there are 256 (2^8) combinations of 0 and 1 in 8 bits or 1 byte. Technique - use the definition of a number in a positional, number system with base 2. 543210 position = corresponding power of 2.