## Boolean Algebra

In order to deal mathematically with the digital circuits, We need to use the Boolean Algebra. It is a tool for the analysis and design of digital systems. Boolean Algebra differs in a major way from ordinary algebra because Boolean constant and variables are allowed to have only two possible values 0 or 1. Laws…

## Codes

Codes:-Symbolic representation of discrete information may be number,letters etc is known as code. code are used to enable an operator to feed data directly into the computer. Binary Codes:–   The process of converting data into binary format is known as binary coding. the combination of binary bits that represent numbers,alphabets,symbols or control function are called…

## Signed Binary Number

signed binary number can be represented in one of the three ways Signed magnitude representation 1’s complement representation 2’s complement representation Signed magnitude representation :  If the data has positive as well as negative numbers then the signed binary number should be used. the + or – signs are represented in the form of binary…

## COMPLEMENTS

Complements are used in digital computer to simplify subtraction operation. There are two types of complements 1. r’s complement 2. ( r-1 )’s complement consider the binary system with base r = 2. So the complements are 2’s complement and 1’s complement. Similarly for an octal system we have 8’s complement and 7’s complement. For…

## BINARY ARITHMETIC

Binary Addition:– Binary addition is the key for binary multiplication,Subtraction and division. The binary addition rules are Binary Addition Rule :- Carry Bit– carry it to the next higher order column. Binary Subtraction Rule:- Binary subtraction rules are Borrow Bit:- Borrow from the next higher order column. Binary Multiplication Rule:- Binary Multiplication rules are Example1:-…