Conversion of Binary to Octal,Hexadecimal

-

   CONVERSION OF BINARY TO OCTAL, HEXADECIMAL

A binary number can be converted into octal or hexadecimal number using a shortcut method. The shortcut method is based on the following information—

·         An octal digit from 0 to 7 can be represented as a combination of 3 bits, since 23 = 8.
·         A hexadecimal digit from 0 to 15 can be represented as a combination of 4 bits, since 24= 16.

The Steps for Binary to Octal Conversion are—

1.        Partition the binary number in groups of three bits, starting from the right-most side.
2.        For each group of three bits, find its octal number.
3.        The result is the number formed by the combination of the octal numbers.

The Steps for Binary to Hexadecimal Conversion are— 

1.        Partition the binary number in groups of four bits, starting from the right-most side.
2.        For each group of four bits, find its hexadecimal number.
3.        The result is the number formed by the combination of the hexadecimal numbers.

Example 1: Convert the binary number 1110101100110 to  octal.
Given binary number                                        1110101100110
1.        Partition binary number in groups of three bits, starting from the right-most side.


2.        For each group find its octal number.





3.        The octal number is 16546.

Example 2: Convert the binary number 1110101100110 to hexadecimal 
Given binary number                                                      1110101100110

1.        Partition binary number in groups of four bits, starting from the right-most side.




2.        For each group find its hexadecimal number.





3.     The hexadecimal number is 1D66


Comments

Post a Comment

Popular posts from this blog

Chapter 2 Windows

-
Image
MICROSOFT WINDOWS Microsoft Windows operating system was developed by Microsoft to overcome the limitations of its own MS-DOS operating system. First successful version of this operating system was Windows 3.0, released in 1990. Subsequently released versions were Windows 95, Windows 98, Windows 2000, Windows XP, Windows XP Professional, and Windows Vista. The numbers associated with some of these released versions indicate their year of release. Main features of Microsoft Windows are as follows : 1.                                       1.   Its native interface is a GUI. Hence, for a new user it is easier to                                                learn and use   a computer system. 2.    Microsoft Windows was designed to be not just an operating system but also a complete operating environment. That is, all its   programs   conform   to   a   standard way of working. For example, a Microsoft Windows word processor works similarly the way a Microso
Read more

Fundamentals of computer

-
Image
Introduction : The implementation of computers is one of the most noticeable changes in the past few decades. A computer is now a very familiar device and each one of us can recognize the use of computers in various fields. Computers are being used for simple tasks like printing of letters as well as for complex weapon designing work. These intelligent machines are used in railway stations, airports, super stores, banks, manufacturing units and at home. People of all age groups use computers for their different needs. Computers have brought new revolutions in the areas of banking, sales and education. Regardless of the field of working, any person needs to have basic knowledge of computers to excel in his/her respective field. Due to this reason, the knowledge of computers is necessary for everyone. One should be able to understand the operation of computers and to use it in his/her field of working. One must have basic understanding of Internet, WWW and the uses of
Read more

Functions of CPU, Memory and Input /Output Devices

-
Image
         CENTRAL PROCESSING UNIT (FUNCTIONAL PARTS AND FUNCTIONS) The central processing unit comes in action when the input has been recorded through input unit. The central processing unit is responsible for actual processing of inputs to generate the output. The central processing unit (CPU) is considered as the brain of the computer. It is also called as Microprocessor. This device converts all the supplied input into output as per the instructions supplied by the user. The CPU of a computer is the device on which the speed and efficiency of the computer mainly depends on. Fig. 1.3 : Central Processing Unit The CPU is divided into arithmetical & logical unit (ALU) and Control Unit (CU). The ALU performs arithmetical and logical calculations and CU supervises the working of ALU. Computer cabinet is not CPU. CPU is fitted inside it. (a)   Control Unit: The control unit acts as supervisor on the working of ALU
Read more