Binary Conversion
Binary Representation of Data In order to work with data, the data must be represented inside the computer. Digital computers represent data by means of an easily identified symbol called a digit. Numbering Systems Each number system has a base also called a Radix. A decimal number system is a system of base 10; binary is a system of base 2; octal is a system of base 8; and hexadecimal is a system of base 16. What are these varying bases? The answer lies in what happens when we count up to the maximum number that the numbering system allows. In base 10, we can count from 0 to 9, that is, 10 digits. Number System Base Symbols used Binary 2 0,1 Octal 8 0,1,2,3,4,5,6,7,8 Decimal 10 0,1,2,3,4,5,6,7,8,9 Hexadecimal 16 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F Where A=10,B=11,C=12,D=13,E=14,F=15 · Binary Conversion a) Binary to Dec...