LOGIC GATE

 

Logic Gates

Logic gates are fundamental building blocks in digital circuits and are used to perform logical operations on binary signals (0s and 1s). They are the basic building blocks of digital circuits and play a crucial role in the design and implementation of digital systems. There are several types of logic gates, each performing a specific logical operation. Here are some common types of logic gates:

AND Gate: The AND gate is one of the fundamental logic gates in digital electronics. It performs the logical AND operation on two binary inputs. The AND gate has two inputs, typically labelled as A and B, and one output. The output is true (1) only when both inputs are true (1). Here's the symbol for an AND gate and its truth table.

Symbol: 

The truth table of a two-input AND basic gate is given as

A	B	Y
0	0	0
0	1	0
1	0	0
1	1	1

OR Gate: The OR gate is another fundamental logic gate in digital electronics. It performs the logical OR operation on two binary inputs. The OR gate has two inputs, typically labelled as A and B, and one output. The output is true (1) if at least one of the inputs is true (1). Here's the symbol for an OR gate and its truth table.

Symbol:

A	B	Y
0	0	0
0	1	1
1	0	1
1	1	1

Output is true (1) when at least one input is true (1).

NOT Gate: The NOT gate, also known as an inverter, is a basic logic gate that performs the logical NOT operation. It takes a single binary input and produces the opposite value as output. If the input is 0, the output is 1, and if the input is 1, the output is 0. Here's the symbol for a NOT gate and its truth table:

Symbol: 

The truth table of NOT gate is as follows

A	Y
0	1
1	0

Output is the opposite of the input.

NAND Gate: The NAND gate, short for NOT-AND gate, is a fundamental logic gate in digital electronics. It performs the opposite of the AND operation. The output of a NAND gate is true (1) unless both of its inputs are true (1). In other words, it produces the complement of the logical AND operation. Here's the symbol for a NAND gate and its truth table

Symbol: 

The truth table of a NAND gate is given as

A	B	Y
0	0	1
0	1	1
1	0	1
1	1	0

Output is false (0) only when both inputs are true (1).

NOR Gate: The NOR gate, short for NOT-OR gate, is another fundamental logic gate in digital electronics. It performs the opposite of the OR operation. The output of a NOR gate is true (1) only if both of its inputs are false (0). In other words, it produces the complement of the logical OR operation. Here's the symbol for a NOR gate and its truth table

Symbol: 

The truth table of a NOR gate is as follows

A	B	Y
0	0	1
0	1	0
1	0	0
1	1	0

Output is false (0) when at least one input is true (1).

XOR Gate (Exclusive OR):The XOR gate, short for Exclusive OR gate, is a fundamental logic gate that produces a true (1) output only when the number of true inputs is odd. If the inputs are all false (0) or all true, the output is false (0). The XOR gate is often used in digital electronics for various purposes, including binary addition and error detection. Here's the symbol for an XOR gate and its truth table

Symbol: 

The truth table of an XOR gate is

A	B	Y
0	0	0
0	1	1
1	0	1
1	1	0

Output is true (1) when the inputs are different.

These logic gates can be combined in various ways to create more complex digital circuits and perform a wide range of logical operations. Digital circuits, including processors and memory units in computers, are built using combinations of these basic logic gates.