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# Binary Operation Definition/Meaning:

1. Dyadic operation defined on a set S. A function from the domain S x S into S itself. Many of the everyday arithmetic and algebraic operations are binary, e.g. the addition of two integers, the union of two sets, and the conjunction of two Boolean expressions.

Although basically functions, binary operations are usually represented using an infix notation, as in

3 + 4, U U V, P ^ Q

The operation symbol then appears between the left and right operand. A symbol, such as °, can be used to represent a generalized binary operation.

When the set S is finite, Cayley tables and sometimes 'truth tables are used to define the meaning of the operation.

2. An operation on binary operands.

## Near by Terms:

Bias
Biconditional
Biconnected Graph
Bifurcation
Bisection (one-to-one onto function)
Binary Chop
Binary Code
Binary-coded decimal (BCD)
Binary-Coded Octal
Binary Counter
Binary Digit (bit)
Binary Encoding
Binary Notation
Binary Operation
Binary Relation
Binary Search Algorithm (logarithmic search algorithm; bisection algorithm)
Binary Search Tree
Binary Sequence
Binary Signal
Binary Symmetric Channel (BSQ)
Binary System
Binary Tree
Binary-Tree Representation
Bind
Binomial Distribution
Bipartite Graph
Bipolar Integrated Circuit
Bipolar Signal
Bipolar Transistor
Biquinary Code (quibinary code)
Bisection Algorithm
Bistable
BISYNC
Bit
Bit Density
Bit Handling
Bit Mapping
Bit Matrix
Bit Rate
Bit-Slice Architecture
Bit String
Bit Stuffing

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