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

Virtulization, Analyse the future of Operating Systems with reference to Vi...

Analyse the future of Operating Systems with reference to Virtualisation.words accepted#

Define the uniform memory access model (uma), Normal 0 false ...

Normal 0 false false false EN-US X-NONE X-NONE

Describe the working of operating system, Write the importance of operating...

Write the importance of operating system. Describe the working methodology of online and real-time operating system with the help of two examples of each.

Java, A string S is said to be "Super ASCII", if it contains the character ...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''a''-''z'') and the asci

Disadvantages of address translation, Disadvantages of Address translation:...

Disadvantages of Address translation: Disadvantages are following: A program that is too large to be held in a part needs some special design, that called overlay

Illustrate diffrent types of modems, Q. Illustrate Diffrent types of modems...

Q. Illustrate Diffrent types of modems? There are four different types of modems: half-duplex, full-duplex, synchronous, and asynchronous.With half-duplex modems data can be tr

How wap gateway works, How WAP Gateway works? An significant feature of...

How WAP Gateway works? An significant feature of WAP is the maintain of telephony service integrated with micro browsing of data. aveAccess WAP Gateway functionss as a

Explain HLL program & execution of machine language program, Give the Schem...

Give the Schematic of Interpretation of HLL program and execution of a machine language program by the CPU. The CPU utilizes a program counter (PC) to notice the address of nex

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