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

Write the program to use arrays, In class SlotCollection, remove the fields...

In class SlotCollection, remove the fields slot1, slot2, slot3 and slot4 and replace them by an array of slots. Modify the rest of the program to work using this array. There is

Discussion., Functionality first and then Security?

Functionality first and then Security?

Define constraints, Define Constraints Constraints can be defined as P...

Define Constraints Constraints can be defined as Preconditions (input values) and Post Conditions (output values). Preconditions on functions are constraints which input value

Explain firewall, A firewall is Software or hardware used to separate a...

A firewall is Software or hardware used to separate a private network from a public network.

Define memory cell, Define memory cell? A memory cell is capable of sto...

Define memory cell? A memory cell is capable of storing single bit of information. It is usually organized in the form of an array

What is segment - assembler directives, What is SEGMENT - Assembler directi...

What is SEGMENT - Assembler directives SEGMENT:  This directive defines to assembler the start of a segment with name segment-name.  Segment name must be unique and follows the

Embedded, explain djnz instruction of intel 8051 microcontroler

explain djnz instruction of intel 8051 microcontroler

Explain about the voice recognition system, Explain about the Voice recogni...

Explain about the Voice recognition system These voice recognition systems recognise spoken words e.g. for disabled people who can't use keyboards where they speak commands rat

What is micro programmed control, What is micro programmed control? Mic...

What is micro programmed control? Micro programmed control is a scheme in which control signals are formed by a program same to machine language program.

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