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The Info List - AND Gate


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The AND gate
AND gate
is a basic digital logic gate that implements logical conjunction - it behaves according to the truth table to the right. A HIGH output (1) results only if all the inputs to the AND gate
AND gate
are HIGH (1). If none or not all inputs to the AND gate
AND gate
are HIGH, a LOW output results. The function can be extended to any number of inputs.

Contents

1 Symbols 2 Implementations

2.1 Alternatives

3 IC package 4 See also 5 References

Symbols[edit] There are three symbols for AND gates: the American (ANSI or 'military') symbol and the IEC ('European' or 'rectangular') symbol, as well as the deprecated DIN symbol. Additional inputs can be added as needed. For more information see Logic Gate Symbols.

MIL/ANSI Symbol IEC Symbol DIN Symbol

The AND gate
AND gate
with inputs A and B and output C implements the logical expression

C = A ⋅ B

displaystyle C=Acdot B

. Implementations[edit]

AND gate
AND gate
using diodes 

AND gate
AND gate
using transistors 

NMOS AND gate 

An AND gate
AND gate
is usually designed using N-channel (pictured) or P-channel MOSFETs. The digital inputs a and b cause the output F to have the same result as the AND function. Alternatives[edit] Further information: NAND logic
NAND logic
and NOR logic If no specific AND gates are available, one can be made from NAND or NOR gates, because NAND and NOR gates are considered the "universal gates," [1] meaning that they can be used to make all the others.

Desired gate NAND construction NOR construction

IC package[edit] AND gates are available in IC packages. The 7408 IC is a well known QUAD 2-Input AND GATES and contains four independent gates each of which performs the logic AND function.

IC 7408

See also[edit]

Wikimedia Commons has media related to AND gates.

OR gate NOT gate NAND gate NOR gate XOR gate XNOR gate IMPLY gate Boolean algebra Logic gate

References[edit]

^ Mano, M. Morris and Charles R. Kime. Logic and Computer Design Fundamentals, Third Edition. Prentice Hall, 2004. p. 73.

v t e

Logical connectives

Tautology/True 

displaystyle top

Alternative denial (NAND gate) 

displaystyle uparrow

Converse implication 

displaystyle leftarrow

Implication (IMPLY gate) 

displaystyle rightarrow

Disjunction (OR gate) 

displaystyle lor

Negation (NOT gate) 

¬

displaystyle neg

Exclusive or (XOR gate) 

displaystyle nleftrightarrow

Biconditional (XNOR gate) 

displaystyle leftrightarrow

Statement

Joint denial (NOR gate) 

displaystyle downarrow

Nonimplication 

displaystyle nrightarrow

Converse nonimplication 

displaystyle nleftarrow

Conjunction (AND gate) 

displaystyle land

Contradiction/False 

.