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Types of data representation Target JRF ICT I with MCQs (for CBSE UGC NET Paper 1) By Navdeep Kaur
Contents Information and communication technology ICT 1 Data Representation, Conversion table 2 Types of data representation 3 Binary, Decimal, Octal, Hexadecimal conversion 4 All Computer Abbreviations 5 MCQs Solving with tips & tricks
Why Types of data representation Computers not only process numbers, letters and special symbols but also complex types of data such as sound and pictures. However, these complex types of data take a lot of memory and processor time when coded in binary form. This limitation necessitates the need to develop better ways of handling long streams of binary digits. Higher number systems are used in computing to reduce these streams of binary digits into manageable form. This helps to improve the processing speed and optimize memory usage. . .
Number systems and their representation A number system is a set of symbols used to represent values derived from a common base or radix. As far as computers are concerned, number systems can be classified into two major categories: . decimal number system binary number system octal number system . hexadecimal number system
Decimal number system The term decimal is derived from a Latin prefix deci, which means ten Decimal number system has ten digits ranging from 0-9. Because this system has ten digits; it is also called a base ten number system or denary number system. . . A decimal number should always be written with a subscript 10 e.g. X10 But since this is the most widely used number system in the world, the subscript is usually understood and ignored in written work. However when many number systems are considered together, the subscript must always be put so as to differentiate the number systems. The magnitude of a number can be considered using these parameters. Absolute value Place value or positional value . . .
Binary number system It uses two digits namely, 1 and 0 to represent numbers. unlike in decimal numbers where the place value goes up in factors of ten, in binary system, the place values increase by the factor of 2.binary numbers are written as X2.consider a binary number such as 10112.The right most digit has a place value of 1x20 while the left most has a place value of 1x23.Octal number system Consists of eight digits ranging from 0-7.the place value of octal numbers goes up in factors of eight from right to left. Hexadecimal number system This is a base 16 number system that consists of sixteen digits ranging from 0-9 and letters A-F where A is equivalent to 10,B to 11 up to F which is equivalent to 15 in base ten system. The place value of hexadecimal numbers goes up in factors of sixteen.
A hexadecimal number can be denoted using 16 as a subscript or capital letter H to the right of the number. For example, 94B can be written as 94B16 or 94BH. Further conversion of numbers from one number system to another To convert numbers from one system to another, the following conversions will be considered . Converting between binary and decimal numbers . Converting octal numbers to decimal and binary form. . Converting hexadecimal numbers to decimal and binary form.
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