# Digital Electronics Number System And Binary Codes Pdf

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*The Web This site. Ask most people what the most commonly used number system is, and they would probably reply after a bit of thought , the decimal system.*

## Binary Number System

A digital system can understand positional number system only where there are a few symbols called digits and these symbols represent different values depending on the position they occupy in the number. The base of the number system where base is defined as the total number of digits available in the number system. The number system that we use in our day-to-day life is the decimal number system. Decimal number system has base 10 as it uses 10 digits from 0 to 9. In decimal number system, the successive positions to the left of the decimal point represents units, tens, hundreds, thousands and so on. Each position represents a specific power of the base For example, the decimal number consists of the digit 4 in the units position, 3 in the tens position, 2 in the hundreds position, and 1 in the thousands position, and its value can be written as.

Filling the register with non-significant zeros is fine - if the number is smaller than the maximum value the register will hold, but how about larger numbers? These must be dealt with by dividing the binary number into groups of 8 bits, each of which can be stored in a one-byte location, and using several locations to hold the different parts of the total value. Just how the number is split up depends on the design of the electronic system involved. Top of Page. Hons All rights reserved.

## Number Base Conversion

In a digital system, the system can understand only the optional number system. In these systems, digits symbols are used to represent different values, depending on the index from which it settled in the number system. In simple terms, for representing the information, we use the number system in the digital system. In the digital computer, there are various types of number systems used for representing information. Generally, a binary number system is used in the digital computers. In this number system, it carries only two digits, either 0 or 1. There are two types of electronic pulses present in a binary number system.

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Electronic and Digital systems may use a variety of different number systems, e. Decimal, Hexadecimal, Octal, Binary. In the above, d n-1 to d 0 is integer part, then follows a radix point, and then d -1 to d -m is fractional part. How to convert a number from one base to another? Follow the example illustrations:. Note: Keep multiplying the fractional part with 2 until decimal part 0. Add 0's to adjust the groups.

octal number can be converted into a binary number by converting each of the Many modern digital computers employ the binary (base-2) number system to represent In some cases circuits are included which indicate when an error has.

## Binary-coded decimal

Each Hexadecimal Number digit can represent a 4-bit Binary Number. Sum each product term to get a decimal equivalent number. Take, for example, the number Forouzan and F.

The reflected binary code RBC , also known just as reflected binary RB or Gray code after Frank Gray , is an ordering of the binary numeral system such that two successive values differ in only one bit binary digit. For example, the representation of the decimal value "1" in binary would normally be "" and "2" would be "". In Gray code, these values are represented as "" and "". That way, incrementing a value from 1 to 2 requires only one bit to change, instead of two.

### Digital Number System

The binary number system , also called the base-2 number system , is a method of representing numbers that counts by using combinations of only two numerals: zero 0 and one 1. Computers use the binary number system to manipulate and store all of their data including numbers, words, videos, graphics, and music. The term bit, the smallest unit of digital technology, stands for "BInary digiT. A kilobyte is 1, bytes or 8, bits. Base and base number systems are more compact than the binary system. Programmers use the hexadecimal number system as a convenient, more compact way to represent binary numbers because it is very easy to convert from binary to hexadecimal and vice versa.

Solved examples with detailed answer description, explanation are given and it would be easy to understand. Here you can find objective type Digital Electronics Number Systems and Codes questions and answers for interview and entrance examination. Multiple choice and true or false type questions are also provided.

The binary system is a number system where numbers are represented using the digits 0 and 1. It is used in the computers, since they work with two voltage levels, and thus their natural number system is the binary system 1 - ON, 0 - OFF. The hexadecimal number system or hexadecimal system sometimes shortened as Hex is a number system that uses 16 symbols: from 0 to 9 and A, B, C, D, E and F. Its current use is highly linked to Computer Science, since the computers use the byte or octet as a basic memory unit. Since a byte has 8 bits, they can be represented with two hexadecimal digits.

In computing and electronic systems, binary-coded decimal BCD is a class of binary encodings of decimal numbers where each digit is represented by a fixed number of bits , usually four or eight. Sometimes, special bit patterns are used for a sign or other indications e. In byte -oriented systems i.

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## 5 Comments

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Armand V.Chapter 1: Digital Systems and Binary Numbers •Binary values are represented abstractly by: – digits 0 and 1 necessary to have a basic knowledge of digital circuits and their logical •A popular code used to represent information sent.

Enoc N.Definition : In digital electronics, the number system is used for representing the information.

Marphisa G.The octal numeral system , or oct for short, is the base -8 number system, and uses the digits 0 to 7.

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