Demystifying Digital Electronics: Exploring Logic Gates and Truth Tables

Hello, welcome to my YouTube channel in this video you will learn about all

logic

gates

, their functions and

truth

tables

, so let's start. Logic

gates

are fundamental in any

digital

system, it is an electronic circuit that has one or more than one input and only one output.

logic

al operation performed on one or more binary inputs that produces a single binary output based on a certain logic according to its function, there are three basic types of logic gates and gate or gate and non-gate and 4 complementary types nand gate and gate xor gate and xnor gate we will explain one by one and gate the engade is an electronic circuit that gives a high output only if all its inputs are high, we can say that it is multiplying all its inputs, a dot is used to show the final operation, for example, a dot . b note that this point is sometimes omitted and on the right only a b see its symbol and

truth

table to understand it easily we will explain it by describing only two inputs a and b but practically they can be more than two let's also explain how to write a truth table draw a table that has three columns two inputs a and b and one output c use the formula the input power of two numbers to get the total number of rows required the power of two is equal to four, it means that the total number of rows will be four The The first two will be zeros and the next two will be ones in input a and we will do half of them in input b.

Let's apply the inputs and see the output. Apply zero and zero. The output is also zero. Apply zero and one. The output is still zero. Apply one and zero. the output is still zero apply one and one the output is now one so the boolean expression of and the gate will be c is equal to a point b what is boolean expression? a boolean expression named after mathematician george bull is an expression that here evaluates to true or false true means one and false means zero in computing a boolean expression is an expression used in programming languages, so if we write the function of a

digital

circuit in mathematical form is called boolean expression or boolean algebra, let's move on to the next gate or logic gate.

The o gate is an electronic circuit that provides a high output when any of its inputs is high in Boolean expression. The plus sign is used to show the operation of the gate or, for example, a plus b equals c. You can see its symbol and its truth. table on the screen let's apply inputs and see the output apply zero and zero the output is also zero apply zero and one the output is one apply one and zero the output is again one apply one and one the output is still one no gate the no gate It is an electronic circuit that gives the output inverted to the input, which is why it is also called an inverter.

It has only one input and one output. If we apply zero at the input, it gives one at the output and if we apply one at the input, it gives zero at the output. The expression boolean of not gate is the output is the complement of the input advanced types of logic gates follow the nand gate if we add a not gate at the output of and the gate we will call it nand gate and it will work the same as the in gate but it gives an inverted output we can describe its function with these words the nand gate is an electronic circuit that gives an output high or one when any of its inputs is low or zero the boolean expression of this gate is a b is equal to the complement of the c nor gate if we add a not gate At the output of the or gate we will call it nor gate, it will work the same as the or gate but it will give an inverted output, we can describe its function with these words the nor gate is an electronic gate circuit that gives a low or zero output when any of its inputs is high or one the boolean expression of this gate is a plus b is equal to the complement of c xor gate the xor gate is an electronic circuit that gives a high output when it is both inputs are not equal and gives a low output when both inputs are the same whether they are both high or both are low in a boolean expression.

A plus sign with a circle is used to show the operation of the xor gate. You can see its symbol and its truth table on the screen let's apply inputs and see the output apply zero and zero the output is also zero apply zero and one the output is one apply one and zero the output again is one apply one and one the output will be zero xnor gate if we add a not is a gate in the output of xor gate we will call it xnor gate. It will work the same as the xor gate but will give an inverted output.

We can describe its function with these words. The xnor gate is an electronic circuit that provides a zero low output. when both inputs are not equal and it outputs high when both inputs are equal I hope you have understood the functions of all logic gates in the next video I will explain practical examples of gates and equivalent circuits, so if you have not subscribed to my channel please subscribe and press the bell icon to receive notifications of my new videos like the video and share it also if you have any questions you can ask them in the comment section thanks for watching bye