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# Hex to Decimal Converter

Enter the hex value to convert it into decimal number

## 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**, and so on.

^{1}**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 simply and intuitively.

**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**C**represents 12**D**represents 13**E**represents 14**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**.