IMPLY gate

Last updated
Input
A   B
Output
A → B
001
011
100
111

The IMPLY gate is an informal digital logic gate that implements a logical conditional.

Contents

Symbols

IMPLY can be denoted in algebraic expressions with the logic symbol right-facing arrow (→). Logically, it is equivalent to material implication, and the logical expression ¬A v B.

There are two symbols for IMPLY gates: the traditional symbol and the IEEE symbol. For more information see Logic gate symbols.

IMPLY ANSI.svg IEC Implies gate.svg
Traditional IMPLY SymbolIEEE IMPLY Symbol

Functional completeness

While the Implication gate isn't functionally complete by itself, it is in conjunction with the constant 0 source. This can be shown via the following:

Thus as the implication gate with the addition of the constant 0 source can create both the NOT gate and the OR gate, it can create the NOR gate, which is a universal gate.

See also


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