Quine McCluskey minimization method, is a technique for reducing for minimizing the expression in their SOP (sum of product) or POS (product of sum) form. Also called a tabular method, this method has advantages over the K Map method, in case the number of input variables is large. For an input variable greater than six, the K Map method becomes more complex. For such problems, McCluskey or Tabular method has a simplified approach. Even it has a simplified approach as compared to other … [Read more...]
What is Binary Arithmetic : Truth Tables & Solved Examples
Computers understand the language of binary. And for all arithmetic operations, algorithms are designed to do arithmetic operations in a binary framework. For all conventional binary arithmetic operations, such as addition, subtraction, multiplication, and division, binary numbers are organized in the form of truth tables. These truth tables form the fundamental basis for all the binary operations. Logic circuits are designed and implemented based on the truth tables. These logic gate circuits … [Read more...]
What is AND Gate : Truth Table, Working & Its Applications
In the domain of digital electronics logic gates are the devices that perform Boolean operations having two inputs and one output. Depending on the logical gate, the logical functionality changes and the output also gets varied. In the year 1886, in a letter, Charles Pierce stated that how logical functionalities could be performed by switching circuits. Finally, vacuum tubes got replaced by logical operations. And the one logical gate which we are going to discuss today is AND gate. The first … [Read more...]
What is Carry Lookahead Adder : Block Diagram & Its Working
We all know that in the current day technology everything becomes digitized and digital systems are designed based on fundamental configurations like AND, OR, and NOT gate. These configurations are employed in multiple network designs. Apart from performing logical functionalities, systems should also store up binary numbers and for storage purposes, Flip Flop’s are invented. So, for some functionalities, the combination of Flip Flop’s and logic gates are used, and IC’s (Integrated Circuits) are … [Read more...]
What is DeMorgan’s Theorem : Statement & Its Applications
The name for DeMorgan’s laws was named after a British logician and mathematician Augustus De Morgan. The influence behind the invention of these laws was the algebraization of logic carried out by George Boole and later strengthened by DeMorgan's claim to the find. Even though there were many observations made on these principles by Jean Buridan, William of Ockham, and many others, the credit was given for DeMorgan where he specified the laws in the form of contemporary formal logic and in … [Read more...]
What is Binary Division : Truth Table & Rules of Division
Computers have been programmed to use machine learning, which is designed with digital circuits. These circuits perform complex arithmetic equations involving basic operations like binary addition, subtraction, multiplication, and division. For every arithmetic operation, logic gates are designed based on truth tables. These truth tables perform simple algorithms and also complex operations. The binary division is one of the fundamental arithmetic operations to be performed by logic gates. The … [Read more...]
What is Binary Subtraction : Truth Table & Rules of Subtraction
All the digital arithmetic circuits are designed by using logic gates where these gates are designed to perform binary addition and subtraction. In this article, we will see the basics of binary subtraction, which is one of the fundamental tasks to be performed by any microprocessor/microcontroller. These gates which perform subtraction are designed based on simple rules, which perform the logic operations. These rules follow a simple truth table, which is similar to traditional arithmetic … [Read more...]
What is a Binary Addition : Truth Table & Rules of Addition
With the advent of electronics and computers learning binary numbering systems and operations with operation numbers have gained a lot of importance. Since all the computer operations work on a binary system, it has become important to know how arithmetic calculations are performed on binary numbers. These operations must be in line with the traditional arithmetic rules of performing basic math functions on numbers. This article discusses binary addition, which is one of the fundamental … [Read more...]
What is the Karnaugh Map : Rules & Its Examples
In digital electronics, simplifying Boolean expressions of many digital circuits is very difficult and consumes more time. So, to reduce the complexity of simplifying Boolean expressions, a method called Karnaugh Map is used. It was introduced by Maurice Karnaugh, a telecommunication engineer at Bell Labs in 1953. The Boolean expressions with 2, 3, 4, and 5 variables can be minimized using the karnaugh map without using any Boolean algebra. It reduces the components or logic gates and inputs … [Read more...]
What is Digital Storage Oscilloscope & Its Working
An electronic instrument that can display the changes in signal voltages graphically is known as an Oscilloscope. It is utilized to process, capture, display, analyze, store the waveform and bandwidth of the signals. The oscilloscopes are of two types based on the type of signal. These are classified into two types namely analog oscilloscope and digital oscilloscope. An Analog oscilloscope uses an electron beam to map and display the continuous variable input voltages of the signal, and a … [Read more...]