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:-…