Octal Arithmetic & Conversion

Binary :

Decimal :

Hex :

0

HISTORY

# Octal Converter & Calculator

Octal converter calculator to perform octal to decimal, octal to binary & octal to hex conversion, steps for work & all arithmetic operations between decimal, binary, hex & octal number system.

**Octal Number**Octal number is the base-8 number system uses 0 to 7 to represent any values in digital computations.

Example Conversion with Work

## How to convert octal to decimal?

The octal to decimal conversion can be made through summation of multiplication of each digit with increasing power of 8 from the right to left of the binary number.

Find the decimal equivalent for octal

= (2 x 8

= (2 x 1) + (4 x 8) + (3 x 64) + (6 x 512)

= 2 + 32 + 192 + 3072

=

The decimal equivalent for octal

Use this octal to decimal converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

**Example :**Find the decimal equivalent for octal

**6342**

_{8}= (2 x 8

^{0}) + (4 x 8

^{1}) + (3 x 8

^{2}) + (6 x 8

^{3})

= (2 x 1) + (4 x 8) + (3 x 64) + (6 x 512)

= 2 + 32 + 192 + 3072

=

**3298**

_{10}The decimal equivalent for octal

**6342**is

_{8}**3298**

_{10}Use this octal to decimal converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

## How to convert octal to binary?

The octal to binary conversion can be made by writing the each digit of given octal number into its equivalent 3 digit binary number, each digit of octal number should be represented by 3 digit binary. Arranging the binary in the same order would bring the binary equivalent.

Find the binary equivalent for octal

Use this octal to binary converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

**Example :**Find the binary equivalent for octal

**736**

_{8}- Write each digit of octal number into its equivalent binary containing 3 digits each.

7 = 111 3 = 011 6 = 110 - Arrange the binary numbers group in the same order.
**111011110**

**736**is

_{8}**111011110**

_{2}Use this octal to binary converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

### How to convert octal to hex?

The octal to hex conversion can be made by writing the each digit of given octal number into its equivalent 3 digit binary number, arrange them in the same order, splitting it into groups each containing 4 binary digits, then finding the equivalent hex values for each group and arranging them in a same order would provide the hex equivalent.

Find the hex equivalent for octal

Write the each digit of given octal number into its equivalent 3 digit binary number.

6 = 110 7 = 111 5 = 110

Arrange them in the same order

110111110

Split the binary number into groups each containing 4 binary digits.

0001 1011 1110

Find the equivalent hex values for each group.

0001 = 1 1011 = B 1110 = E

Arranging them in a same order would provide the hex equivalent

The hex equivalent for octal 675

Use this octal to hex converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

Learn how to perform addition, subtraction, multiplication & division between two or more octal numbers from the below information.

**Example :**Find the hex equivalent for octal

**675**

_{8}Write the each digit of given octal number into its equivalent 3 digit binary number.

6 = 110 7 = 111 5 = 110

Arrange them in the same order

110111110

Split the binary number into groups each containing 4 binary digits.

0001 1011 1110

Find the equivalent hex values for each group.

0001 = 1 1011 = B 1110 = E

Arranging them in a same order would provide the hex equivalent

**1BE**

The hex equivalent for octal 675

_{8}is

**1BE**

_{16}Use this octal to hex converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

**Octal Numbers Arithmetic**Learn how to perform addition, subtraction, multiplication & division between two or more octal numbers from the below information.

### How to perform octal addition?

The octal addition can be performed by following the below steps.

- Convert the octal numbers into their equivalent decimal values.
- Perform the addition in decimal to find the sum.
- Find the equivalent octal number for the obtained sum.

### How to perform octal subtraction?

The octal subtraction can be performed by following the below steps.

- Convert the octal numbers into their equivalent decimal values.
- Perform the subtraction in decimal to find the difference.
- Find the equivalent octal number for the obtained difference.

#### How to perform octal multiplication?

The octal multiplication can be performed by following the below steps.

- Convert the octal numbers into their equivalent decimal values.
- Perform the multiplication in decimal to find the product.
- Find the equivalent octal number for the obtained product.

#### How to perform octal division?

The octal division can be performed by following the below steps.

- Convert the octal numbers into their equivalent decimal values.
- Perform the division in decimal to find the quotient & remainder.
- Find the equivalent octal number for the obtained quotient & remainder.

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