# How do you convert binary to octal number explain with an example?

## How do you convert binary to octal number explain with an example?

Conversion from Binary to Octal

1. Take the given binary number.
2. Multiply each digit by 2n-1 where n is the position of the digit from the decimal.
3. The resultant is the equivalent decimal number for the given binary number.
4. Divide the decimal number by 8.
5. Note the remainder.

## How do you represent octal to decimal conversion explain with an example?

Example 1: Convert Octal number 2671 to a Decimal number. Therefore, (2671)8 = (1465)10 . Example 2: Convert Octal number 761.12 to a Decimal number. Therefore, (761.12)8 ( 761.12 ) 8 = (497.15625)10 ( 497.15625 ) 10 .

How do you find the octal equivalent of a number?

In decimal to binary, we divide the number by 2, in decimal to hexadecimal we divide the number by 16. In case of decimal to octal, we divide the number by 8 and write the remainders in the reverse order to get the equivalent octal number.

What is the octal equivalent of binary number 10111101?

Convert the octal number 7401 to Binary….

Q. What is the octal equivalent of the binary number: 10111101
D. 573

### What is octal representation?

Octal refers to the base-8 numbering system. It comes from the Latin word for eight. The octal numbering system uses the numerals 0-1-2-3-4-5-6-7. In computing environments, it is commonly used as a shorter representation of binary numbers by grouping binary digits into threes.

What is the proper way of converting octal numbers to binary values?

Converting a number from Octal to Binary Convert each octal digit to its 3-digit binary representation. Each of the digits must be treated as a decimal value. Combine these binary representations to form a single binary number.

Which of the following is not an example of octal number *?

Binary Equivalent Beyond 7, such as 8 and 9 are not octal digits. For example, 19 is not an octal number by 10 is an octal number.

#### How to convert binary to octal?

We cannot directly convert binary to octal, so we first convert binary to decimal, then the decimal number to the equivalent octal number system. Binary numbers are commonly used in computers, in the form of bits and bytes, since the computer understand the language of 0 and 1 only. At the same time, octal numbers are used in electronics.

#### How to represent any digit of octal number system using only 3-bit?

Since, there are only 8 digits (from 0 to 7) in octal number system, so we can represent any digit of octal number system using only 3 bit as following below. So, if you make each group of 3 bit of binary input number, then replace each group of binary number from its equivalent octal digits.

What is (111110011001) 2 in octal?

So, the binary number (111110011001)2 is equal to ( 7631)8 in an octal number. Use this binary to octal conversion table to convert binary numbers into octal numbers. Thank You! For Your Review

What are binary numbers called in math?

Numbers to base 2 is called binary numbers. It uses only two digits, 0 and 1. It is denoted by a 2, where a is a number with 0’s and 1’s. What are Octal numbers? The number to the base 8 is called octal numbers. It uses the numbers from 0 to 7.

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