Step 1: Identify the base of the required number. Since we have to convert the given number into the octal system, the base of the required number is 8. Step 2: Divide the given number by the base of the required number and note down the quotient and the remainder in the quotient-remainder form. Repeat this process dividing the quotient again by the base until we get the quotient less than the base.
Step 3: The given number in the octal number system is obtained just by reading all the remainders and the last quotient from bottom to top. Step 1: Convert this number to the decimal number system as explained in the above process. Step 2: Convert the above number which is in the decimal system , into the required number system. Here, we have to convert 10 into the hexadecimal system using the above-mentioned process.
It should be noted that in the hexadecimal system, the numbers 11 and 12 are written as B and C respectively. Solution: 10 is in the decimal system. We divide by 2 and note down the quotient and the remainder. We will repeat this process for every quotient until we get a quotient that is less than 2. The equivalent number in the binary system is obtained by reading all the remainders and just the last quotient from bottom to top as shown above.
Solution: 5BC 16 is in the hexadecimal system. So we get the equivalent number in the decimal system using the following process:. Solution: The base of 8 is 8. First, we will convert this number into the decimal system as follows:.
Now we will convert this into the hexadecimal system as follows:. A number system is a system of writing or expressing numbers. In mathematics, numbers are represented in a given set by using digits or symbols in a certain manner. Every number has a unique representation of its own and numbers can be represented in the arithmetic and algebraic structure as well. Zero as a whole represents nothing or a null value.
R is the set of real numbers, ie. A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations. It represents the number of compoundings in 1 year.
Begin typing your search term above and press enter to search. Press ESC to cancel. Skip to content Home What is the importance of number system in our daily life? Ben Davis May 29, What is the importance of number system in our daily life? What are the uses of number system? What are four important number systems? What are the most important numbers? What is the number system explain? How do you teach number system to students? How do you introduce a number system?
What is number system for Class 6? Making a phone call is possible only because we have a proper and efficient number system. Elevators used in public places also depend upon number systems for their functioning. Computation of any kind of interest on amounts deposited in banks. Creation of passwords on computers, security purposes.
Encrypting important data, by converting figures into another number system to avoid hacking and misuse of data. It enables easy conversion of numbers for technical purposes. The entirety of computer architecture depends upon number systems octal, hexadecimal. Every fiber of data gets stored in the computer as a number. Conceptual Questions Question 1: Convert 10 to an octal number. Solution: In case of octal conversion, we have to divide the numbers by 8.
Skip to content. Change Language. Related Articles. Table of Contents. Save Article. Improve Article.
Like Article. Last Updated : 29 Sep, Next Valence Electrons. Recommended Articles. Article Contributed By :. Easy Normal Medium Hard Expert. Writing code in comment? Decimal Equivalent of Octal Number: The decimal equivalent of Octal number can be evaluated by multiplying the digits with 8, and the base 8 will be raised to the positional value of the respective digit.
It comprises of 10 digits and 6 alphabets. All the other numbers can be expressed with the help of combination of these digits and alphabets. The base of the hexadecimal number system is 16 as total 16 elements are available in this number system.
Thus, Hexadecimal number system is used mostly in case of microprocessors and microcontrollers. Number Systems is crucial for understanding the processing of digital system. Thus, in the field of information technology or embedded system everywhere one need to be well aware of number system in order to understand its operation.
Your email address will not be published. Save my name, email, and website in this browser for the next time I comment. Comments nice article. Thanks a lot and all the doubts are cleared very promptly in an efficient manner.
0コメント