# Octal Calculator

Octal calculator - An all-in-one and easy to use online tool for octal to binary, octal to hex and octal to decimal conversion, and generate work with steps, and generate work with steps. It also supports octal addition, subtraction, multiplication and division operations with more precise results.

## Octal to Decimal Conversion

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. Refer this below workout to understand how to convert base-8 octal to base-10 decimal number, or use this octal calculator to easily find out the decimal equivalent for a given octal number.

**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.

## Octal to Binary Conversion

Octal to binary conversion can be made by arranging the 3-digit binary equivalent of a given octal number in the same order as the binary equivalent. Refer this below workout to understand how to convert base-8 octal to base-2 binary number, or use this octal calculator to easily find out the binary equivalent for a given octal number.

**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.

### Octal to Hex Conversion

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. Refer this below workout to understand how to convert base-8 octal to base-16 hexadecimal number, or use this octal calculator to easily find out the hexadecimal equivalent for a given octal number.

**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.

### Octal Addition

Refer the below octal addition procedure to understand how to carry out octal addition, or use this octal addition calculator to easily find out the sum of two or more octal numbers.

- 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.

### Octal Subtraction

Refer the below octal subtraction procedure to understand how to carry out octal subtraction, or use this octal subtraction calculator to easily find out the difference between two or more octal numbers.

- 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.

#### Octal Multiplication

Refer the below octal multiplication procedure to understand how to carry out octal multiplication, or use this octal calculator to easily find out the product of two or more octal numbers.

- 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.

#### Octal Division

Refer the below octal division procedure to understand how to carry out octal division, or use this octal calculator to easily find out the quotient and remainder while dividing the octal number by another.

- 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.

This octal calculator is a simple and easy to use online tool for octal to binary, octal to hex and octal to decimal conversion. Apart from all these conversions, it also supports octal addition, octal subtraction, octal multiplication and octal division operations. Therefore, it is an all-in-one octal calculator to easily find the answers for base-8 to base-2, base-10 and base-16 conversions, including basic arithmetic operations between two or more octal numbers. It also generates complete work with steps for octal conversion to help learners to easily understand how to convert octal numbers into other number systems.

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