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

Scsi bus - computer architecture, SCSI Bus:   Defined by ANSI - X3....

SCSI Bus:   Defined by ANSI - X3.131   50, 68 or 80 pins   Max. transfer rate - 160 MB/s, 320 MB/s. SCSI Bus Signals   Small Computer System Interface

What is looping, What is looping Loop is a control structure used to do...

What is looping Loop is a control structure used to do repetitive operation. Some programs include repeating a set of instruction either a particular number of times or until a

Setjmp and longjmp, How does throwing and catching exceptions differ from u...

How does throwing and catching exceptions differ from using setjmp and longjmp? Ans) The throw operation calls the destructors for automatic objects instantiated as entry to th

Determine the simplified sop boolean expression, Reduce the following equat...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD + A

Define compilers with high level programming language, Define Compilers wit...

Define Compilers with High Level Programming Language? All high-level programming language (except strictly interpretive languages) comes with a compiler. Effectively the compi

Does xml replace html, No XML does not replace HTML. Instead, it gives an a...

No XML does not replace HTML. Instead, it gives an alternative which permits you to explain your own set of markup elements. HTML is expected to stay in common use for some time to

Determine the define byte - assembler directives, Determine the Define Byte...

Determine the Define Byte - Assembler directives DB (Define Byte): DB directive defines a byte-type variable (i.e. a variable that occupies one byte of memory space). In a give

Is it possible to QuantifySoftware Engineering Risks using S, 1. Introducti...

1. Introduction to Software Metrics in Software Engineering.? 2. Role of direct and indirect measures in software process management? 3. Stance taken and justification? 4. Conclusi

Binary resolution, Binary Resolution: However we saw unit resolution f...

Binary Resolution: However we saw unit resolution for a propositional inference rule in the previous lecture:  (A?  B,   ¬B) /A Thus we can take this a little further to

How society is affected thorugh internet, How society is affected thorugh I...

How society is affected thorugh Internet Buying goods and services (for example banking) over the internet has both negative and positive aspects on society. These can be expl

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