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Logic Gates

Logic gates are the building blocks of digital electronics and software: AND gives 1 only when both inputs are 1, OR gives 1 when at least one input is 1, XOR gives 1 when the inputs differ, and NOT inverts a single input. NAND and NOR are simply AND and OR followed by a NOT.

Y=A\cdot B

AND: 1 only when A=1 and B=1

Y=A\oplus B

XOR: 1 only when A and B differ

Symbols

$A,\ B$	inputs (0 or 1)
$Y$	output (0 or 1)

Example

AND gate with $A=1$ , $B=0$ :

$Y=1\cdot0=0$ .

Build a truth table if you are unsure how a gate behaves.

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Part of Embedded Systems and Instrumentation: Number systems and digital logic.