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 is debate - architecture, What is Debate Debate took place in the ...

What is Debate Debate took place in the 1980s and first half of the 1990s. It was resolved as RISC the winner since it allows more efficient pipelining, results in simpler hard

Describe the concept of value creation, I am required to write about the im...

I am required to write about the impact of the internet on firms with reference to the following questions: 1. Describe the concept of value creation. Explain how a firm can use

How do you create a permanent cookie, How do you create a permanent cookie?...

How do you create a permanent cookie?  By setting the expiry date of the cookie to a later on time (like 10 years later.)

What is race around condition, What is race around condition? Ans: ...

What is race around condition? Ans: Race Around Condition:- Jn Kn Q(n+1) output   0 1 0 1   0 0

What is binary search, Binary Search: Search a sorted array by repeatedly i...

Binary Search: Search a sorted array by repeatedly in-between the search interval in half. Start with an interval covering the entire array. If the value of the search key is less

Define throughput, Define throughput?  Throughput in CPU scheduling is ...

Define throughput?  Throughput in CPU scheduling is the number of processes that are completed per unit time. For long processes, this rate might be one process per hour; for s

Explain characteristics in java for e-commerce applications, Explain the ch...

Explain the characteristics and utilities available into java that makes it appropriate for developing e-commerce applications. Following are the characteristics and utilities

List the properties which a hashing function should possess, List the prope...

List the properties which a hashing function should possess to ensure a good search performance. What approaches are adopted to handle collision? A hashing function h must poss

Show the features of a typical floating-point representation, Q. Show the F...

Q. Show the Features of a typical floating-point representation? The features of a typical floating-point representation of 32 bits in above figure are: Left-most bit is

Affective functioning - integrated test result, Mr. X's MMPI suggests that ...

Mr. X's MMPI suggests that he either suppresses anger and hostility or has a naturally low level of anger and hostility (O-H=58, ANG=36, TPA=41, AGGR=36). His responses on the PAS

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