Friday, April 28, 2017

Logic gate

April 28, 2017 DCOM-II No comments :

A logic gate is an idealized or physical device implementing a Boolean function; that is, it performs a logical operation on one or more binary inputs, and produces a single binary output.

Type

Distinctive shape
(IEEE Std 91/91a-1991)

Rectangular shape
(IEEE Std 91/91a-1991
IEC 60617-12 : 1997)

Boolean algebra between A & B

Truth table

Inverter

NOT

{\overline {A}}{\text{ or }}{\sim }A

INPUT	OUTPUT
A	NOT A
0	1
1	0

2-input gates

AND

A\cdot B{\text{ or }}A\;\&\;B

INPUT		OUTPUT
A	B	A AND B
0	0	0
0	1	0
1	0	0
1	1	1

A+B

INPUT		OUTPUT
A	B	A OR B
0	0	0
0	1	1
1	0	1
1	1	1

XOR

A\oplus B

INPUT		OUTPUT
A	B	A XOR B
0	0	0
0	1	1
1	0	1
1	1	0

Inverted 2-input gates

NAND

{\overline {A\cdot B}}{\text{ or }}A\uparrow B

INPUT		OUTPUT
A	B	A NAND B
0	0	1
0	1	1
1	0	1
1	1	0

NOR

{\overline {A+B}}{\text{ or }}A-B

INPUT		OUTPUT
A	B	A NOR B
0	0	1
0	1	0
1	0	0
1	1	0

XNOR

{\overline {A\oplus B}}{\text{ or }}{A\odot B}

INPUT		OUTPUT
A	B	A XNOR B
0	0	1
0	1	0
1	0	0
1	1	1

Friday, April 28, 2017

Logic gate

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