Binary codes, Basic Computer Science

Assignment Help:

Binary Codes:

We have seen earlier that digital computers use signals that have two distinct values and there exists a direct analogy between binary signals and binary digits. Computers not only manipulate numbers but also other discrete elements of information. The distinct discrete quantities can be represented by a group of binary digits (known as bits). For example, to represent two different quantities uniquely two symbols are sufficient and hence one binary digit (either 0 or 1) will be sufficient to uniquely represent the two symbols. But one bit will not suffice if one has  to represent more than two quantities. In those cases more than one bits are required, i.e. the bits have to used repeatedly. For example if we have to give unique codes for three distinct items we need at least 2 bits. With two bits we can have codes 00, 01, 10 and 11. Out of this we can use first three to assign unique codes to three distinct quantities and leave the fourth one unused. In general, an n-bit binary code can be used to represent 2n  distinct quantities. Thus group of two bits can represent four distinct quantities through unique symbols 00, 01, 10 & 11. Three bits can be used to represent eight distinct quantities by unique symbols 000, 001, 010, 011, 100, 101, 110 & 111. In other words, to assign unique codes to m distinct items we need at least n bit code such that 2n >= m.   

Digital computers use binary codes to represent all kinds of information ranging from numbers to alphabets. Whether we have to input an alphabet, a number or a punctuation symbol; we need to convey it to machine through a unique code for each item. Thus, the instruction to be performed by the CPU and the input data which form the operands of the instruction are represented using a binary code system. A typical machine instruction in a digital computer system could therefore look like a set of 0s and 1s. Many binary codes are used in digital systems. BCD code for representing decimal numbers, ASCII code for information interchange between computer and keyboard, Unicode for use over Internet and Reflected (Gray) code are some commonly studied binary code systems.   


Related Discussions:- Binary codes

Concept of programming language, CONCEPT OF PROGRAMMING LANGUAGE: In o...

CONCEPT OF PROGRAMMING LANGUAGE: In order to communicate with other human beings, one needs some language or a medium. In the same way for solving problems, a programming  lan

Electronic transmission frequency, Electronic  transmission Frequency: ...

Electronic  transmission Frequency: Frequency is the rate at which a wave or cycle alternates between high and low (analog mode) or on and off (digital mode). For example, the

Oop, evolution of oop

evolution of oop

Quotation in Python, Python allows single (''), double (") and triple (''''...

Python allows single (''), double (") and triple ('''''' or """) quotes to indicate string literals, as long as the similar type of quote starts and ends the string. The triple quo

Word processing software, Word Processing Software : The main use for word...

Word Processing Software : The main use for word processing is found in secretarial offices and small publishing companies. However, if you are involved in generating your own cor

Explain the probability and non-probability sampling methods, Question 1 W...

Question 1 Write a program to read four floating point numbers and find their sum and average. Question 2 Differentiate string constants and character constants with one exam

Define the elements of contlor unit , The three main elements of the con...

The three main elements of the control unit are: 1. Decoder this is used to decode the instructions that create a program when they are being processed, and to establish in what ac

Batch processing, Batch Processing When the entire computer system is d...

Batch Processing When the entire computer system is dedicated to a single job, the system is said to be operating in Batch Processing mode. In this mode each program is run to

Theory of computation, If L is a regular language show that L U {a} is regu...

If L is a regular language show that L U {a} is regular

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd