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

Integrated services digital network service, Whole idea of ISDN is to digit...

Whole idea of ISDN is to digitize the telephone network to permit transmission of video, audio and text over existing telephone lines. The purpose of ISDN is to provide fully integ

How numbering plan is achieved in modern telephony, How numbering plan is a...

How numbering plan is achieved in modern telephony? Give the structure with example. The objective of numbering plan is to uniquely identify every subscriber connected to a tel

Presumably for heightened tension - first-order logic, Presumably for heigh...

Presumably for heightened tension - first-order logic: As an aside, it's worth pointing out that - presumably for heightened tension - in most Sherlock Holmes books, the m

Software, S oftware In 1970s less than 1 percent of the public could h...

S oftware In 1970s less than 1 percent of the public could have intelligently explained what "computer software " means. Nowadays most professionals and various member of the

What is the difference among conventional and HD T.V, a. Write down the sal...

a. Write down the salient difference among conventional T.V. and High Definition TV (HDTV) and also highlight the various benefits of digital representation for video. b. Video

Genetic algorithms - artificial intelligence, Genetic Algorithms: In s...

Genetic Algorithms: In such a scenario the evolutionary approach to "Artificial Intelligence" is one of the neatest ideas of all. Whether we have tried to mimic the functionin

In what way the protection fault handler concludes, In what way the protect...

In what way the protection fault handler concludes? After finishing the implementation of the fault handler, it sets the change and protection bits and clears the copy on write

Explain an exceptional handling in java with an example, Explain an excepti...

Explain an exceptional handling in java with the help of suitable example. Java exception handling is managed through five keywords: catch, try, throw, finally and throws. 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