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

What will be the output of JK flipflop for J = 0 and K=1, For JK flipflop J...

For JK flipflop J = 0, K=1, the output after clock pulse will be ? Ans. J=0 and K=1, such inputs will reset the flip-flop, after the clock pulse. Therefore whatever be the earlie

Explain mutual-exclusion implementation with semaphores, Disadvantage and...

Disadvantage and Advantage of mutual-exclusion implementation with semaphores. Disadvantage: Mutual-exclusion solutions specified by semaphores require busy waiting. Tha

Xor gate, The XOR gate. The exclusive OR or XOR gate is similar to a tw...

The XOR gate. The exclusive OR or XOR gate is similar to a two input OR gate. The output of an XOR gate is logic 1 only when one input or the other input is high and is 0 when

What is a manifest, What is a Manifest?  An assembly manifest contains...

What is a Manifest?  An assembly manifest contains all the metadata required to specify the assembly's version requirements and security identity, and all metadata required to

Classified the vlsi technology, The VLSI technology is still developing. Mo...

The VLSI technology is still developing. More and more powerful microprocessors and more storage space now are being put in single chip. One question that we have still not conside

What is a digital multiplexer, What is a digital multiplexer?  Ans: ...

What is a digital multiplexer?  Ans: Multiplexer: Data selector or MUX is a logic circuit selects binary information from one of several input and directs this to a sing

Which is the best tool for monitoring weblogic server(wls8), WLS8 handles J...

WLS8 handles JMX but it uses weblogic execution of JMX server. It does not supports generalise sun javax API which can be used with any JVM. There are some patches available which

What are the three basic types of web documents, What are the three basic t...

What are the three basic types of web documents? There are three fundamental types of web documents: Static, Dynamic and Active. STATIC A static web document resides i

Lfu, advantages of lfu

advantages of lfu

Rdbms relational database system, RDBMS relational database system - Re...

RDBMS relational database system - Relational databases are composed of relations and managed through relational operations, and governed through data integrity constraints.

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