How to convert binary to octal and hexadecimal, Computer Engineering

Assignment Help:

Q. How to convert Binary to Octal and Hexadecimal?

Rules for these conversions are simple. For converting binary to octal binary number is splitted in groups of three, that are then joined by place value to produce equivalent octal. For illustration binary number 1101011.00101 can be converted to Octal in below manner:

2291_Conversion of Binary to Octal and Hexadecimal.png

(Please note that number is unchanged even though we have added 0 to complete grouping. Also note that style of grouping before and after decimal. We count 3 numbers from right to left whereas after decimal from left to right.)

So octal number equivalent to binary number 1101011.00101 is (153.12)8.

In the same manner by grouping 4 binary digits and finding equivalent hexadecimal digits for it can make hexadecimal conversion.  For illustration the same number would be equivalent to (6B.28)H.

915_Conversion of Binary to Octal and Hexadecimal1.png

On the contrary we should conclude that hexadecimal digit can be splitted into a string of binary having 4 places whereas an octal can be splitted in string of binary having 3 place values. Figure below gives binary equivalents of octal and hexadecimal numbers. 

93_Conversion of Binary to Octal and Hexadecimal2.png

Figure: Binary equivalent of octal and hexadecimal digits


Related Discussions:- How to convert binary to octal and hexadecimal

Explain direct addressing mode with example, Q. Explain Direct Addressing M...

Q. Explain Direct Addressing Mode with example? Direct Addressing Mode A direct operand signifies to contents of memory at an address referred by the name of the variable.

Clarify the operation of iret instruction, Clarify the operation of IRET in...

Clarify the operation of IRET instruction.  What memory locations comprise the vector for an INT 34 instruction? Interrupt return (IRET) instruction is used only with hardware

Explain about the arithmetic shift, Explain about the Arithmetic Shift ...

Explain about the Arithmetic Shift An arithmetic shift micro operation shifts the signed binary number to left or right. The effect of the arithmetic shift left operation is

Discuss the process of data mining, Discuss the process of data mining? ...

Discuss the process of data mining? The process of data mining having of three stages: (1)The initial exploration (2) Model building or pattern identification with validat

Function makestk-predicate function emptystk, 1. Create the following ADTs....

1. Create the following ADTs. (a) Write the constructor function makestk, predicate function emptystk and mutator functions pushstk and popstk: i. makestk returns a new stack

Cryptography, Basically I need implement program using LC3 assembly languag...

Basically I need implement program using LC3 assembly language where I can type any message using ASCII code (this will my input). Then read the output in cipher text. It has to be

What is class and class diagram, What is class, class diagram? An objec...

What is class, class diagram? An object is an instance of a class. Class explains a group of objects with similar properties (attributes), behaviour (operations), kinds of rela

What is a macro, What is a macro ? How it is defined ? Preprocessor' is...

What is a macro ? How it is defined ? Preprocessor' is a translation phase that is applied to  source code before the compiler  proper  gets  its  hands on  it.  Generally,  th

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