TOPICS
Search

Binary Digit


A binary digit is one of the two digits 0 and 1 used in the binary numeral system. A binary digit is also called a bit.

In a binary expansion, a binary digit b in a position with place value 2^k contributes b2^k to the represented number, where k is an integer. For example,

 (101.1)_2=1×2^2+0×2^1+1×2^0+1×2^(-1)=5.5.

This binary expansion contains four binary digits. The leftmost binary digit 1 contributes 4, while the binary digit 1 to the right of the point contributes 1/2.

Unlike a decimal digit, which has ten possible values, a binary digit has only two possible values. Strings of binary digits represent numbers by positional notation and are also used to encode information in computers, where their length is measured in bits.


See also

Base, Binary, Binary Expansion, Bit, Decimal Digit, Digit, Expanded Notation, Numeral System

Explore with Wolfram|Alpha

References

Langfield, S. and Duddell, D. Cambridge International AS and A Level Computer Science Coursebook. 2nd ed. Cambridge: Cambridge University Press, §1.01, 2019. https://assets.cambridge.org/97811087/33755/excerpt/9781108733755_excerpt.pdf.

Cite this as:

Weisstein, Eric W. "Binary Digit." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BinaryDigit.html

Subject classifications