Authors
RL Graham, DE Knuth, O Patashnik
Publication date
2020/8/17
Description
The base 2 method of counting in which only the digits 0 and 1 are used. In this base, the number 1011 equals 1· 2^ 0+ 1· 2^ 1+ 0· 2^ 2+ 1· 2^ 3= 11. This base is used in computers, since all numbers can be simply represented as a string of electrically pulsed ons and offs. In computer parlance, one binary digit is called a bit, two digits are called a crumb, four digits are called a nibble, and eight digits are called a byte.
An integer n may be represented in binary in the Wolfram Language using the command BaseForm [n, 2], and the first d digits of a real number x may be obtained in binary using RealDigits [x, 2, d]. Finally, a list of binary digits l can be converted to a decimal rational number or integer using FromDigits [l, 2].
Scholar articles
RL Graham, DE Knuth, O Patashnik - 2020