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# Hex to Decimal Converter

To use the Hex to decimal calculator, Select the type of conversion, enter the value, and hit calculate button

## Hex to decimal converter

Hex to decimal converter is used for the conversions of Hexadecimal numbers to decimal numbers easily.

## What are Decimal Numbers?

Decimal numbers are also known as base-10 numbers. These are the numbers we use in our everyday lives. They consist of ten digits (0 to 9) and follow a positional notation system. Each digit's position represents a power of 10, with the rightmost digit having a value of 10^{0}, the next one on the left has 10^{1}, and so on.

**Decimal Number System:**

The decimal number system is the most familiar to us, as we use it for counting and arithmetic. It allows us to express quantities in a simple and intuitive manner.

**Place Value in Decimal System:**

The place value of a digit in a decimal number is crucial for understanding its magnitude. For instance, the digit "5" in the number "573" holds a place value of 5 units, while the digit "7" has a place value of 70 (7 tens).

## What are Hexadecimal Numbers?

Hexadecimal numbers AKA base-16 numbers are commonly used in computer science and programming. They consist of sixteen digits (0 to 9 and A to F).

Where:

A represents 10

B represents 11

F represents 15

**Hexadecimal Number System:**

The hexadecimal system is vital in digital systems, as it allows for compact representation and simplification of complex binary numbers.

**Hexadecimal to Decimal Conversion:**

Understanding how to convert hexadecimal numbers to decimal form will aid us in various real-world applications.

## Solved examples:

**Converting Decimal to Hexadecimal:**

Converting decimal to hexadecimal involves dividing the decimal number by 16 repeatedly and noting the remainder. The remainder is then converted to hexadecimal digits.

**Example 1: **

Convert the decimal number 312 to hexadecimal

**Solution: **

(Using remainder method)

**Step 1: **

312 / 16 = 19 with a remainder of 8 (8 in hexadecimal)

**Step 2: **

19 / 16 = 1 with a remainder of 3 (3 in hexadecimal)

**Step 3: **

1 / 16 = 0 with a remainder of 1 (1 in hexadecimal)

The hexadecimal representation of 312 is 138.

**Converting Hexadecimal to Decimal**

Converting hexadecimal to decimal involves multiplying each digit by the respective power of 16 and summing the results.

**Example 1: **

Convert the hexadecimal number 1A7 to a decimal number

**Solution: **

**Step 1:** Multiply the existing numbers with the power of 16 separately.

= 1 * 16^{2} + 10 * 16^{1} + 7 * 16^{0}

= 256 + 160 + 7

= 423.

The decimal representation of **1A7 is 423**.