Hex Arithmetic & Conversion

Binary :

Octal :

Decimal :

0

HISTORY

# Hex Converter & Calculator

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

Hex number is the base-16 number system uses 0 to 9 and A to F to represent any values in a numerical system. The values 10, 11, 12, 13, 14 & 15 is represented by alphabets A, B, C, D, E & F respectively, (i.e.) A = 10, B = 11, C = 12, D = 13, E = 14 & D = 15.

**Hex Number**Hex number is the base-16 number system uses 0 to 9 and A to F to represent any values in a numerical system. The values 10, 11, 12, 13, 14 & 15 is represented by alphabets A, B, C, D, E & F respectively, (i.e.) A = 10, B = 11, C = 12, D = 13, E = 14 & D = 15.

Example Conversion with Work

## How to convert hex to decimal?

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.

Find the decimal equivalent for hexadecimal

= (11 x 16

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

= 11 + 160 + 768

=

The decimal equivalent for hexadecimal

Use this hex 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 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.

## How to convert hex to binary?

The hex to binary conversion can be made by writing the each digit of given hex number into its equivalent 4 digit binary number, each digit of hex number should be represented by 4 digit binary. Arranging the binary in the same order would bring the binary equivalent.

Find the binary equivalent for

Use this hex 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

**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.

### How to convert hex to octal?

The 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.

Find the octal equivalent for

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

**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.

### How to perform hex addition?

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

- 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.

### How to perform hex subtraction?

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

- 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.

#### How to perform hex multiplication?

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

- 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.

#### How to perform hex division?

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

- 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.

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