Logic gates

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Logic gates

Logic gates are the foundation blocks for the digital logic. Let us know more about these gates with the help of truth tables:

AND gate: An AND Gate has two or more inputs and produces one output as follows: output = 1 if all of the inputs are high, output = 0 if one or more of the inputs are low.

AND gate

OR gate: An OR gate also has two or more inputs and produces one output as follows: output = 1 if one or more inputs are high, output = 0 if all inputs are low.

OR gate

NOT gate: The inverter gate has one input and produces one output as follows: output =1 if input is low, output = 0 if input is high.

NOT gate

NAND gate: The NAND gate has two or more inputs and produces one output as follows: output = 0 if all the inputs are high, output = 1 if any of the inputs are low.

NAND gate

NOR gate: The NOR gate has two or more inputs and produces one output as follows: output = 1 if all inputs are low, output = 0 if any of the inputs is high.

NOR gate

Exclusive-OR gate: The Exclusive-OR gate always has two inputs only and produces one output as follows: output = 1 when inputs are not similar, output = 0 when inputs are the same.

XOR gate

Exclusive-NOR gate: The Exclusive-NOR gate always has two inputs only and produces one output as follows: output = 1 when inputs are both high or are both low, output = 0 when inputs are not similar.

XNOR gate

Boolean Algebra: Boolean algebra has similar rules to other algebras and these rules are used to manipulate the expression at hand. Some of these basic rules are:

Boolean Algebra

Note: OR operator is represented by the ‘+’ symbol and has the lowest precedence. NOT operator is represented by the “ ‘ “ symbol and has the highest precedence. AND operator is represented by ‘.’ symbol and is in the middle.

Logic gates Examples

Here are some logic gate circuit problems:

logic circuit
logic circuit

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