Tuesday, November 1, 2011

Logic gates and Truth Tables

Inverter (NOT Gate) and Buffer
NAND and AND Gates
NOR and OR Gates
Digital Circuit operates at two different Voltage Levels, Low and High. Generally, the Low Level corresponds to Logic 0 and the High Level corresponds to Logic 1. Logic Gates are basic building blocks in Digital Electronics. The relation between the Input(s) and the Output of a Logic Gate is expressed with a Truth-Table.

Inverter (NOT Gate) and Buffer

An Inverter is a Logic Gate that has only one Input, it outputs the opposite Logic State of its Input. The Inverter is also called NOT Gate. The Schematic Symbol of a basic Inverter is shown in Figure 1 and Table 1 is its Truth-Table.
The notation of the logic operation of Inverter can be expressed by:
Figure 1: Inverter (NOT Gate) Schematic Symbol
AQ
01
10
Table 1: Inverter (NOT Gate) Truth-Table
A Buffer is another Logic Gate that has only one Input, its Output follows the same Logic State as the Input. The Buffer is used as delay element in Digital Electronics. It is also a Current-Boost-Up element, which is used to increase the capability of the Output of one gate to drive a number of other gates. The Schematic Symbol of a Buffer is shown in Figure 2 and Table 2 is its Truth-Table.
The notation of the logic operation of Buffer can be expressed by:
Figure 2: Buffer Schematic Symbol
AQ
00
11
Table 2: Buffer Truth-Table


NAND and AND Gates

An AND Gate is a Logic Gate that has two or more than two Inputs, its Output is 1 only when all its Inputs are 1. The Schematic Symbol of a Two-Input AND Gate is shown in Figure 3 and Table 3 is its Truth-Table.
The notation of the logic operation of AND Gate can be expressed by:
Figure 3: AND Gate Schematic Symbol
ABQ
000
010
100
111
Table 3: AND Gate Truth-Table
A NAND Gate is another Logic Gate that has two or more than two Inputs, its Output is 0 only when all its Inputs are 1. The Schematic Symbol of a Two-Input NAND Gate is shown in Figure 4 and Table 4 is its Truth-Table.
The notation of the logic operation of NAND Gate can be expressed by:
Figure 4: NAND Gate Schematic Symbol
ABQ
001
011
101
110
Table 4: NAND Gate Truth-Table


NOR and OR Gates

An OR Gate is a Logic Gate that has two or more than two Inputs, its Output is 0 only when all its Inputs are 0. The Schematic Symbol of a Two-Input OR Gate is shown in Figure 5 and Table 5 is its Truth-Table.
The notation of the logic operation of OR Gate can be expressed by:
Figure 5: OR Gate Schematic Symbol
ABQ
000
011
101
111
Table 5: OR Gate Truth-Table
A NOR Gate is a Logic Gate that has two or more than two Inputs, its Output is 1 only when all its Inputs are 0. The Schematic Symbol of a Two-Input NOR Gate is shown in Figure 6 and Table 6 is its Truth-Table.
The notation of the logic operation of NOR Gate can be expressed by:
Figure 6: NOR Gate Schematic Symbol
ABQ
001
010
100
110
Table 6: NOR Gate Truth-Table
Digital Lab
source: http://macao.communications.museum/eng/exhibition/secondfloor/moreinfo/LogicGates1.html

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