Logic Gates and Truth Table Assignment Help

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Logic gate: The digital circuit that can be analyzed with the help of Boolean algebra is called logic circuit or logic gate. A logic circuit has two or more inputs but only one output.

There are normally three logic circuit namely the OR gate, the AND gate and the NOT gate.

Truth table: The operation of a logic gate or circuit can be represented in a table which contains all possible inputs and their corresponding output is called the truth table. To write the truth table we use binary digits 1 and 0.

(1) The 'OR' gate

(i) It has two inputs (A and B) and only one output (Y)

(ii) Boolean expression is Y = A + B

(iii) Truth table and logic symbol

A

B

Y = A + B

0

0

0

0

1

1

1

0

1

1

1

1

 

2280_logic gates.png

(2) The 'AND' gate

(i) It has two inputs and one output.

(ii) Boolean expression is Y = A · B

(iii) Truth table and logic symbol:

A

B

Y = A · B

0

0

0

0

1

0

1

0

0

1

1

1

 

1989_logic gates1.png

(3) The 'NOT' gate

(i) It has only single input and only single output

(ii) Boolean expression is 1396_logic gates3.png     

(iii) Truth table and logic symbol:

A

1396_logic gates3.png

0

1

1

0

 

732_logic gates2.png

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