Hexadecimal to Decimal converter

by

16
10

To use this online hex to decimal converter tool, type a value in the hexadecimal field and then press the Convert button.

What is Hexadecimal?

Hexadecimal (base 16) is a numeral system widely used in computing and programming. It simplifies binary representation and uses 16 characters: 0-9 and A-F. Each hex digit represents values ranging from 0 to 15.

Converting hexadecimal to decimal may seem complex, but with a clear understanding and proper steps, it becomes straightforward.

How to convert hex to decimal?

Follow these simple steps to Convert Hexadecimal to Decimal:

  1. Understand the Place Value
    • Each hex digit is multiplied by 16𝑛, where 𝑛 is the position (starting from 0, right to left).
  1. Multiply Each Digit by Its Place Value
    • Convert letters (A to F) to their decimal equivalents (A=10, B=11, etc.).
  1. Sum the Results
    • Add all the products to get the final decimal value.

Example 1: Convert 3A7 to Decimal

Let’s convert the hexadecimal number 3A7 to decimal:

  1. Write down the hexadecimal number: 3A7
  2. Assign decimal values:
    • 3 (leftmost digit) = 3 × 162 = 3 × 256 = 768
    • (A = 10) 10 x 161 = 10 × 16 = 160
    • 7 (rightmost digit) = 7 × 160 = 7 × 1 = 7
  3. Multiply and sum: 768 + 160 + 7 = 935.

Thus, decimal equivalent of 3A7 is 935

Example 2: Convert 1F4 to Decimal

  • 1×162 = 256
  • 𝐹( 15 ) × 161 = 240
  • 4×160 = 4
  • Total: 500

Example 3: Convert 73A to Decimal

  • 7×162 =1792
  • 𝐴( 10 ) × 161 = 160
  • 3 × 160 = 3
  • Total: 1955

Hex to decimal conversion table

Hex to DecimalHex to Decimal
hex 00 = 0hex 10 = 16
hex 01 = 1hex 11 = 17
hex 02 = 2hex 12 = 18
hex 03 = 3hex 13 = 19
hex 04 = 4hex 14 = 20
hex 05 = 5hex 15 = 21
hex 06 = 6hex 16 = 22
hex 07 = 7hex 17 = 23
hex 08 = 8hex 18 = 24
hex 09 = 9hex 19 = 25
hex 0A = 10hex 1A = 26
hex 0B = 11hex 1B = 27
hex 0C = 12hex 1C = 28
hex 0D = 13hex 1D = 29
hex 0E = 14hex 1E = 30
hex 0F = 15hex 1F = 31

Why Convert Hexadecimal to Decimal?

Understanding hexadecimal is essential for:

  • Debugging software and reading memory addresses.
  • Interpreting color codes in web design (e.g., #FFFFFF for white).
  • Converting data in embedded systems and microcontrollers.

Whether you’re a programmer or a student, mastering this conversion is valuable.

Tips for Easy Conversion

Simplify your conversions with our fast and reliable online tool. Enter any hexadecimal value, and get instant results with step-by-step explanations.

  1. Use a Calculator for Large Values
    • Manual conversion can be tedious. Our online Hexadecimal to Decimal Converter simplifies this process.
  1. Memorize Common Hex Values
    • Knowing basic hex-decimal mappings (e.g., A=10, F=15) speeds up calculations.
  1. Practice with Small Numbers
    • Start with 2-3 digit hex numbers before attempting complex conversions.

Frequently Asked Questions (FAQs)

1. What does 0x mean in hexadecimal?

0x is a prefix indicating the number is in hexadecimal format. For example, 0x1A equals 26 in decimal.

2. How is hexadecimal used in programming?

It’s used to represent memory addresses, machine code, and color codes, among others.

3. Can I convert decimal to hexadecimal?

Yes! Divide the decimal number by 16, record the remainders, and reverse the order.

Leave a Comment