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 do you mean by electronic funds transfer, What do you mean by Electron...

What do you mean by Electronic Funds Transfer? Electronic Funds Transfer: It’s an electronic payment method which transfers the money value through one bank account to o

Explain executing request using message-passing architecture, Explain the E...

Explain the Executing Requests Using a Message-Passing Architecture Executing requests using a message-passing architecture requires good fundamental client-server programming

Define the resolution of externally defined symbols, Resolution of external...

Resolution of externally defined symbols is performed by Ans. By Linker resolution of externally defined symbols is performed.

Determine through which symbolic names can be associated, Determine Symboli...

Determine Symbolic names can be associated with Symbolic names can be associated with the data or instruction

How is a valid user identifier accomplished, How is a valid user identifier...

How is a valid user identifier accomplished? A valid user identifier is accomplished within one or more of given ways: • Provide some password, which only user knows. • P

Sorting algorithms, Two way merge sort for 84,83,78,90,23,123,98,159,8,200

Two way merge sort for 84,83,78,90,23,123,98,159,8,200

the monte carlo simulation technique, The demand placed on a system is exp...

The demand placed on a system is explained by a lognormally distributed random variable with mean 50 and standard deviation of 10. The capacity of the system is modeled by a Weibul

Drawing sequential circuit on paper, design a sequential circuit that conti...

design a sequential circuit that continuously computes the function 2X + 3 or 3X + 1 where the variable X is a three-bit unsigned integer available on a serial interface. A special

Define the most common biometrics, What is most common biometrics? Explain ...

What is most common biometrics? Explain in brief. The most common biometrics is as given below: Face geometry (Photo): The computer captures the picture of your face and m

Discuss various enhanced services of stored program control, Discuss the va...

Discuss the various enhanced services that can be made available to the subscribers because of stored program control. One of the instant benefits of stored program control is

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