Discrete Math Notes:
Chapter 8: Applications of Discrete Mathematics
8.5 Number representation
Base, Numbers represented in base b require b distinct symbols and each place value is a power of b.
Bit, a digit in binary notation
base b expansion of n, The representation of n base b
hexadecimal, numbers are represented base 16
byte, which consists of 8 bits, can be represented by a 2-digit hexadecimal number.
Overview:
While humans use decimal notation to represent numbers, computers utilize binary notation, which has only two digits: 0 and 1. In binary notation, a bit is a single digit. Each place value in binary notation is a power of two. For example, the decimal number 123 + 022 + 121 + 120 = 11 corresponds to the binary number 1011. Any integer greater than 1 can be used as the foundation of a number representation system. Each place value is a power of b, and numbers represented in base b require b separate symbols. The base b expansion of n is the representation of n base b. Numbers are represented base 16 in hexadecimal notation (or hex for short).