Skip to main content

LOGIC GATES

 LOGIC GATES

                      In digital electronics, the decision making capability of the gate circuit is called logic, and a type of logic circuit that performs a specific logical operation e.g AND or OR etc is called a gate. So, the logic gates are the type of electronic circuits that makes logical decisions, and their output depends on the preset rules. The logic gates can have multiple inputs but always has a single output. A gate is just like a switch which can be ON or OFF. The ON state represents logic 1, while the OFF state represents logic 0. A gate can not only add, subtract, count, etc but can also store the information. 


The most common types of the gates;

                                      In Boolean Algebra, there are three basic operations, +,\:.\:,\:^\prime which are analogous to disjunction, conjunction, and negation in propositional logic. Each of these operations has a corresponding logic gate. Apart from these there are a few other logic gates as well.

  • AND gate (.)– The AND gate gives an output of 1 if both the two inputs are 1, it gives 0 otherwise.
  • OR gate(+) – The OR gate gives an output of 1 if either of the two inputs are 1, it gives 0 otherwise.
  • NOT gate(‘) – The NOT gate gives an output of 1 input is 0 and vice-versa.
  • XOR gate(\oplus) – The XOR gate gives an output of 1 if either both inputs are different, it gives 0 if they are same.
  • NAND gate(\uparrow)- The NAND gate (negated AND) gives an output of 0 if both inputs are 1, it gives 1 otherwise.
  • NOR gate(\downarrow)- The NOR gate (negated OR) gives an output of 1 if both inputs are 0, it gives 0 otherwise.
  • XNOR gate(\odot)- The XNOR gate (negated XOR) gives an output of 1 both inputs are same and 0 if both are different.                                                                                                                                                                                                                                        LOGIC GATE SYMBOLS 
    Small Logic Gates — The building blocks of digital circuits -  Part 2


                                              1.AND GATE;

               A circuit which performs an AND operation is shown in figure. It has n input (n >= 2) and one output.


AND gate

Logic diagram;

AND Logical Diagram

Truth Table;

AND Truth Table


                      2.OR GATE;

             A circuit which performs an OR operation is shown in figure. It has n input (n >= 2) and one output.


OR gate

LOGIC DIAGRAM;

OR Logical Diagram

TRUTH TABLE;

OR Truth Table


                        3.NOT GATE;

          NOT gate is also known as Inverter. It has one input A and one output Y.

NOT gate

LOGIC DIAGRAM;

NOT Logical Diagram

TRUTH TABLE;

NOT Truth Table


                          4. NAND GATE;

A NOT-AND operation is known as NAND operation. It has n input (n >= 2) and one output.


NAND gate

LOGIC DIAGRAM;


NAND Logical Diagram

TRUTH TABLE;

NAND Truth Table

                             5.NOR GATE;

A NOT-OR operation is known as NOR operation. It has n input (n >= 2) and one output.


NOR gate

LOGIC DIAGRAM;


NOR Logical Diagram

TRUTH TABLE;

NOR Truth Table

                            6. XOR GATE;

XOR or Ex-OR gate is a special type of gate. It can be used in the half adder, full adder and subtractor. The exclusive-OR gate is abbreviated as EX-OR gate or sometime as X-OR gate. It has n input (n >= 2) and one output.


XOR gate

LOGIC GATE;

XOR Logical Diagram

TRUTH TABLE;

XOR Truth Table

                          7. XNOR GATE;

XNOR gate is a special type of gate. It can be used in the half adder, full adder and subtractor. The exclusive-NOR gate is abbreviated as EX-NOR gate or sometime as X-NOR gate. It has n input (n >= 2) and one output.


XNOR gate

LOGIC DIAGRAM;

XNOR Logical Diagram

TRUTH TABLE;

XNOR Truth Table

                       MORE DETAILS;

             https://youtu.be/WT1NJrw0Aao

                                  OR




Comments

Post a Comment

Popular posts from this blog

NUMBER SYSTEM CONVERSION

NUMBER BASE CONVERSION                     In our previous section, we learned different types of number systems such as binary, decimal, octal, and hexadecimal. In this part of the tutorial, we will learn how we can change a number from one number system to another number system. As, we have four types of number systems so each one can be converted into the remaining three systems. There are the following conversions possible in Number System Binary to other Number Systems. Decimal to other Number Systems. Octal to other Number Systems. Hexadecimal to other Number Systems.                                                                                                                                                                                                                                     1.BINARY NUMBER SYSTEM CONVERSION  Number System with base value 2 is termed as Binary number system. It uses 2 digits i.e. 0 and 1 for the creation of numbers. The numbers formed using these
Post a Comment
Read more

DJANGO

                                                                     TABLE OF CONTENT: What is Django? why use of Django Framework? Features of Django How To   Setup   Django at Glance Advantages and Disadvantages of Django WHAT IS DJANGO? Django is just an open-source web framework that supports high-level python programming. It speeds up the development of web applications that are being built on Python Language. Django helps in “Rapid Development, Pragmatic djangoProjectCarriedand Clean Design”. This is deployed on a web server that helps developers produce a web front-end that is secure, feature-rich, fast, and scalable. Starting from scratch, which involves designing the backend, APIs, javascript, and sitemaps, is a more effective way to create a web app than using the Django web framework. Web developers can concentrate on developing a specific application using the Django web platform, which provides more flexibility than any other web development tool. WHY USE OF DJANGO FRAMEWO
Post a Comment
Read more

HEXADECIMAL NUMBER SYSTEM CONVERSION

 HEXADECIMAL NUMBER SYSTEM CONVERSION           1.HEXADECIMAL NUMBER CONVERSION Number System with base value 16 is termed as Hexadecimal Number System. It uses 16 digits for the creation of its numbers. Digits from 0-9 are taken like the digits in the decimal number system but the digits from 10-15 are  represented as A-F i.e. 10 is represented as A, 11 as B, 12 as C, 13 as D, 14 as E, and 15 as F. Hexadecimal Numbers are useful for handling memory address locations. * HEXADECIMAL NUMBER SYSTEM TO BINARY NUMBER SYSTEM; Hex numbers are represented in base 16, but the binary numbers are of base 2. Hence, to convert a hexadecimal number to a binary number, the base of that number is to be changed. Follow the steps given below: Step 1:  Convert the Hex symbols into its equivalent decimal values. Step 2:  Write each digit of the Hexadecimal number separately. Step 3:  Convert each digit into an equivalent group of four binary digits. Step 4:  Combine these groups to form the whole binary n
Post a Comment
Read more