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

Explain the functioning of firewall using screening router, Explain the fun...

Explain the functioning of Firewall Using Screening Router. Firewall Using Screening Router: The risk of break-within is large along with this form of firewall: Eve

Dpsd -asynchronous circuits, an asyncronous sequential circuit is described...

an asyncronous sequential circuit is described by the the exitatio function and the output function y=x1x2''+(x1=x2'')y output function z=y a)draw the logic diagram of the circuit.

Mapping, what is transform mapping and transaction mapping?

what is transform mapping and transaction mapping?

Complex micro-controller, The 68Hc11 is actually a complex micro-controller...

The 68Hc11 is actually a complex micro-controller its contains internally RAM, EEPROM, Parallel IO and serial ports, hardware timers and a 8 channel ADC.  The internal structure is

Define memory latency, Define Memory Latency? It is used to refer to th...

Define Memory Latency? It is used to refer to the amount of time it takes to transfer a word of data to or from the memory.

Joint application development session leader, Q.Joint Application Developme...

Q.Joint Application Development session leader? JAD session leader: JAD leader organizes and runs the JAD. This person is trained in group management and facilitation as well

Find out the access time of ROM using bipolar transistors, The access time ...

The access time of ROM using bipolar transistors is about ? Ans. About 1 µ sec is the access time of ROM using bipolar transistors.

Explain the odd-even transposition algorithm, Q. Explain the odd-even trans...

Q. Explain the odd-even transposition algorithm? The algorithm needs one 'for loop' beginning from I=1 to N it implies that N times and for every value of I, one 'for loop' of

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