HEX to Decimal

Hexadecimal and decimal are two different number systems. Hexadecimal is often used in computing. Decimal is the system we use every day. This guide will help you convert hex to decimal easily.

What is Hexadecimal?

Hexadecimal, or hex, is a base-16 number system. It uses 16 symbols to represent values. These symbols are 0-9 and A-F. The letters A to F represent the numbers 10 to 15.

Hexadecimal Digits

• 0
• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• A (10)
• B (11)
• C (12)
• D (13)
• E (14)
• F (15)

What is Decimal?

Decimal is a base-10 number system. It uses 10 symbols: 0-9. This is the number system we use in our daily life.

Why Convert Hex to Decimal?

Computers use hexadecimal to make things easier. Humans find it hard to read long binary numbers. Hexadecimal is shorter and easier to read. But sometimes we need to convert hex to decimal to understand the value.

Steps to Convert Hex to Decimal

Converting hex to decimal is simple. Follow these steps:

1. Write down the hex number.
2. Multiply each digit by 16 raised to the power of its position.
3. Add up all the results.

Let's break it down with an example.

Example: Convert 1a3 To Decimal

Each digit has a position. The rightmost digit is position 0.

Hex Digit	Position	Decimal Value	Calculation	Result
3	0	3	3 x 16^0	3
A	1	10	10 x 16^1	160
1	2	1	1 x 16^2	256

Add the results: 3 + 160 + 256 = 419

So, the decimal value of 1A3 is 419.

Practice Problems

Try converting these hex numbers to decimal:

• 2F
• 7B
• 8C4
• 1D3

Why is Hexadecimal Used?

Hexadecimal is used because it is compact. It is easier to read than binary. One hex digit represents four binary digits. This makes it simpler to understand computer memory addresses.

Hex to Decimal Conversion Table

Here is a quick reference table for hex to decimal conversion:

Hex	Decimal
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
A	10
B	11
C	12
D	13
E	14
F	15

Tools for Hex to Decimal Conversion

There are many online tools to convert hex to decimal. Some popular ones are:

• Calculator.net
• RapidTables
• BinaryHexConverter

These tools make conversion quick and easy. You just need to enter the hex number. The tool will give you the decimal value instantly.

Frequently Asked Questions

What Is Hex To Decimal Conversion?

Hex to decimal conversion translates base-16 numbers to base-10.

Why Is Hex Used In Computing?

Hex simplifies binary representation, making it easier to read and debug.

How To Convert Hex To Decimal Manually?

Multiply each hex digit by 16 raised to its position power, then sum.

What Tools Convert Hex To Decimal?

Online converters, calculators, and programming languages like Python can convert hex to decimal.

Conclusion

Hexadecimal and decimal are important number systems. Knowing how to convert between them is useful. This guide explained the process in simple steps. You can now convert hex to decimal easily.

Keep practicing with different hex numbers. Soon, you will master this skill!

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