Hex to Decimal Converter

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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 100, the next one on the left has 101, 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).


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


 (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


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

= 1 * 162 + 10 * 161 + 7 * 160

= 256 + 160 + 7

= 423.

The decimal representation of 1A7 is 423.

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