# Hex Calculator

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

## Hex to Decimal Conversion

The hex to decimal conversion can be made through summation of multiplication of each digit with increasing power of 16 from the right to left of the hexadecimal number. Refer this below workout to understand how to convert base-16 hex number to base-10 decimal number, or use this hex calculator to easily find out the decimal equivalent for a given hexadecimal number.

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

**3AB**

_{16}= (11 x 16

^{0}) + (10 x 16

^{1}) + (3 x 16

^{2})

= (11 x 1) + (10 x 16) + (3 x 256)

= 11 + 160 + 768

=

**939**

_{10}The decimal equivalent for hexadecimal

**3AB**is

_{16}**939**

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

## Hex to Binary Conversion

Hex to binary conversion can be made by finding a 4-digit binary equivalent to each digit of the given hex number and arranging all the binary digits in the same order. Represent each digit of the given hexadecimal number by the 4 digit binary number. If any binary representation of a hexadecimal number is short of 4 bits, add zeros to the prefix to make it 4 bits. Arrange all the binary equivalents together in the same order to find the equivalent base-2 number. Refer this below hex to binary conversion workout to understand how to convert base-16 hexadecimal to base-2 binary number, or use this hex calculator to easily find out the binary equivalent for a given hexadecimal number.

**Example :**Find the binary equivalent for

**2AF**

_{16}- Write each digit of hex number into its equivalent binary containing 4 digits each.

2 = 0010 A = 1010 F = 1111 - Arrange the binary numbers group in the same order.

001010101111

**2AF**is

_{16}**001010101111**

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

### Hex to Octal Conversion

Hex to octal conversion can be made through by converting the each digit of hex number into 4 digits binary number, arranging them in the same order, splitting it into groups each containing 3 binary digits, finding the decimal value for each group and arranging them on the same order provides an equivalent octal number. Refer this below hex to octal conversion workout to understand how to convert base-16 hex to base-8 octal number, or use this hex calculator to easily find out the octal equivalent for a given hex number.

**Example :**Find the octal equivalent for

**6F2**

_{16}- Convert each digit of given hex number into their equivalent binary each containing 4 digits.

**6 = 0110****F = 1111****2 = 0010** - Arrange them in the same order
**011011110010** - Split it into groups each containing 3 binary digits
**011****011****110****010**

Find the decimal equivalent for each group

**011 = 3****011 = 3****110 = 6****010 = 2** - Arrange the decimal numbers in the same order
**3362**_{8}

The octal equivalent for**6F2**is_{16}**3362**_{8}

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

### Hex Addition

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

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

### Hex Subtraction

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

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

#### Hex Multiplication

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

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

#### Hex Division

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

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