IMPLY gate
In today's world, IMPLY gate is a highly relevant and topical topic. More and more people are interested in learning about IMPLY gate and knowing its history, impact and relevance in society. From its origins to its evolution today, IMPLY gate has generated great interest in different areas, from culture to science. In this article, we will explore the different facets of IMPLY gate and its influence on the contemporary world, offering a comprehensive and enriching vision of this fascinating and intriguing topic.
 | This article needs additional citations for verification. (November 2025) |
| Input A B |
Output A → B | |
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
The IMPLY gate is a digital logic gate that implements a logical conditional.[1]
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.
|
| |
| Traditional IMPLY Symbol | IEEE IMPLY Symbol |
Functional completeness
While the Implication gate is not functionally complete by itself, it is in conjunction with the constant 0 source. This can be shown via the following:
Thus, since 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
- NIMPLY gate
- AND gate
- NOT gate
- NAND gate
- NOR gate
- XOR gate
- XNOR gate
- Boolean algebra (logic)
- Logic gates
References
- ^ "Implication Logic". Devices and Circuits for Stateful Logic and Memristive Sensing Applications. Retrieved 3 November 2025.
-
Common logical connectives | ||
|---|---|---|
 | ||
 | This computing article is a stub. You can help Wikipedia by expanding it. |