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# Logic Gate

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## zuher al haomud

on 9 March 2014

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#### Transcript of Logic Gate

XOR Gate
AND Gate
Video 1
The Gates
AND Gate
OR Gate
XOR Gate
NOT Gate

Video 2
Videos
AND Gate
The output Q is true if input A AND input B are both true: Q = A AND B
An AND gate can have two or more inputs, its output is true if all inputs are true.

Equation
Q = A AND B
Truth Table
Input A Input B Output Q
0 0 0
0 1 0
1 0 0
1 1 1

OR Gate

The output Q is true if input A OR input B is true (or both of them are true): Q = A OR B An OR gate can have two or more inputs, its output is true if at least one input is true.
Truth Table
Input A Input B Output Q
0 0 0
0 1 1
1 0 1
1 1 1

Equation
Q = A OR B
OR Gate
Logic Gate
XOR Gate
The output Q is true if either input A is true OR input B is true, but not when both of them are true: Q = (A AND NOT B) OR (B AND NOT A)
This is like an OR gate but excluding both inputs being true. The output is true if inputs A and B are DIFFERENT. EX-OR gates can only have 2 inputs.

Truth Table
Equation
Input A Input B Output Q
0 0 0
0 1 1
1 0 1
1 1 0
Q = (A AND NOT B) OR (B AND NOT A)
NOT Gate
NOT Gate
The output Q is true when the input A is NOT true, the output is the inverse of the input: Q = NOT A A NOT gate can only have one input. A NOT gate is also called an inverter
Truth Table
Input A Output Q
0 1
1 0

Equation
Q = NOT A
Eng . Zuher Saeed Al hamoud
202323243
VP - 8
Boolean 0 and 1 do not represent actual numbers but instead represent the state, or logic level.

Boolean expression for the Not operation:
x =A
The above expression is read as “x equals A ”

Boolean expression for the AND operation:
x =A * B
The above expression is read as “x equals A AND B”

AND Operation

Boolean expression for the OR operation:
x =A + B
The above expression is read as “x equals A OR B”

OR Operation

Not operation

Boolean expression for the Not operation:
x =A
The above expression is read as “x equals A ”

Logic 0

Logic 1

False

True

Off

On

Low

High

No

Yes

Open switch

Closed switch

Boolean 0 and 1 do not represent actual numbers but instead represent the state, or logic level.

Boolean Constants and Variables

pictuers
Truth Table
Circuit Diagram
Electronic board
Gates Component
AND & OR Gate
All Gates
OR Gate
AND Gate
NOT Gate

Three Basic Logic Operations

Boolean expression for the AND operation:
x =A * B
The above expression is read as “x equals A AND B”

AND Operation

Boolean expression for the OR operation:
x =A + B
The above expression is read as “x equals A OR B”

OR Operation

Not operation

Boolean expression for the Not operation:
x =A
The above expression is read as “x equals A
Logic Gate
Eng . Zuher Saeed Al hamoud

202323243
Full transcript