## Truth Table Of And Gate

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### How do you write a truth table for AND gate?

Before you can fill in the truth table, you need to determine the logic statement that defines the output for each gate. For example, the AND gate has inputs A,A and B,B so its output can be defined as A, and, B,A∧B.

### What is the logic expression of AND gate?

An AND gate is a logic circuit that performs the AND operation on the circuit’s inputs. An AND gate output will be 1 only for the case when all inputs are 1; for all other cases the output will be 0. The expression x=AB is read as ‘x equals A AND B.’

## What is the rule of AND gate?

Rule for an AND gate: output is ‘high’ only if first input and second input are both ‘high.’ Rule for an OR gate: output is ‘high’ if input A or input B are ‘high.’ Rule for a NAND gate: output is not ‘high’ if both the first input and the second input are ‘high.’

### What is the structure of AND gate?

An AND gate is a logic gate having two or more inputs and a single output. An AND gate operates on logical multiplication rules. In this gate, if either of the inputs is low (0), then the output is also low. If all of the inputs are high (1), then the output will also be high.

### What is the truth table of 3 input AND gate?

3 Input OR Gate Truth Table. The output of a three-input OR Logic gate is zero if all the three inputs are at logic zero levels on the other hand the output is one if anyone/two/ three inputs are at logic high.

### What is the logic number of AND gate?

List of Logic Gate ICs

IC No. | Gate |
---|---|

7404 | NOT |

7408 | AND |

7432 | OR |

7486 | EX-OR |

#### Can both or and and gates have only two inputs?

Any number of inputs are possible in OR and AND gates. – Solution The detailed solution to the question, both OR and AND gates, can provide only two inputs, The OR gate takes its name from how it functions, like the inclusive “OR” in logic. If one or both of the inputs are “true,” the result will also be “true.” The output is “false” if both inputs are “false.” In other words, at least one OR both inputs must be 1 for the output to be 1. The AND gate is thus named because it behaves just like the logical “AND” operator. When both inputs are “true,” the result is “true.” Otherwise, “false” is the output. In other words, only when both inputs, one AND two, are 1 is the output 1. Hence, Option (B) is the correct answer.

#### What are the three logic gates?

All digital systems can be constructed by only three basic logic gates. These basic gates are called the AND gate, the OR gate, and the NOT gate. Some textbooks also include the NAND gate, the NOR gate and the EOR gate as the members of the family of basic logic gates. The description of the operations of these gates are listed below : The AND gate is a circuit which gives a high output (logic 1) if all its inputs are high. A dot ( ) is used to indicate the AND operation. In practice, however, the dot is usually omitted, The OR gate is a circuit which gives a high output if one or more of its inputs are high. A plus sign (+) is used to indicate the OR operation. The NOT gate is a circuit which produces at its output the negated (inverted) version of its input logic. The circuit is also known as an inverter, If the input variable is A, the inverted output is written as, The NAND gate is a NOT-AND circuit which is equivalent to an AND circuit followed by a NOT circuit. The output of the NAND gate is high if any of its inputs is low. The NOR gate is a NOT-OR circuit which is equivalent to an OR circuit followed by a NOT circuit. The output of the NOR gate is low if any of its inputs is high. EOR gate The Exclusive-OR gate is a circuit which gives a high output if either of its two inputs is high, but not both. A encircled plus sign ( ) is used to indicate the EOR operation.

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#### What is the difference between AND gate AND OR gate?

Difference between AND Gate and OR Gate: –

S.NO. | Parameter | AND Gate | OR Gate |
---|---|---|---|

1. | Executes | AND Gate executes logical multiplication. | OR Gate executes logical addition. |

2. | Implements | AND Gate implements logical conjunction. | OR Gate implements logical disjunction. |

3. | Represent | AND Gate is represented by a dot(.) Example :- Z = A.B | OR Gate is represented by a plus(+). Example :- Z = A+B |

4. | True Output | AND Gate gives true output only when both inputs are true. | OR Gate gives a true output when at least one output is true. |

5. | High output | The AND Gate gives high output only if all its inputs are high | The OR Gate gives output if one or more of its inputs is high. |

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: Difference Between AND Gate and OR Gate

### What is the controlling value of AND gate?

A controlling value at a gate input is the value that determines the output value of that gate irrespective of the other input value. A controlling value for an AND gate is 0 and for an OR gate is 1. (The controlled values are 0 and 1 resp.) A non-controlling value for an AND gate is 1 and for an OR gate is 0.

## What is commutative law of AND gate?

AND and OR gates are both commutative and associative. For the AND function, AB = BA -commutative and (AB)C = A(BC) = ABC. -associative For the OR function, A + B = B + A -commutative and (A + B) + C = A + (B + C).

#### Where are logic gates used in real life?

The basic logic gates are used in many circuits like a push button lock, light activated burglar alarm, safety thermostat, an automatic watering system etc. Digital communication cannot happen without logic operations.

#### Why do we study logic gates?

The organization of logic into gates and other logic blocks facilitates information interchange and design description. It is a common notation that may be understood by anyone who is familiar with the art. It makes it possible to assemble and transfer groups of gates and bigger blocks of logic in a consistent manner.