Decimal to Hexadecimal Converter | Calculator

A Decimal to Hexadecimal converter is a tool or process that converts a decimal number (base 10) into its equivalent hexadecimal number (base 16). Hexadecimal numbers use 16 symbols: 0-9 for values 0 to 9 and A-F for values 10 to 15.

How to Manually Convert Decimal to Hexadecimal

To manually convert a decimal number to hexadecimal, follow these steps:

1. Divide the Decimal Number by 16:
   Divide the decimal number by 16 and note down the quotient and remainder.
2. Record the Remainder:
   The remainder is the least significant digit (rightmost digit) of the hexadecimal number.
3. Repeat the Process:
   Divide the quotient by 16 and record the remainders until the quotient becomes 0.
4. Write the Hexadecimal Number:
   Write the remainders in reverse order (from last to first).

Example: Convert Decimal 255 to Hexadecimal

1. Divide 255 by 16:
   255÷16=15 remainder 15 (F in hexadecimal).
2. Divide the quotient 15 by 16:
   15÷16=0 remainder 15 (F in hexadecimal).
3. Write the remainders in reverse order:
   FF.

So, 255 in decimal is FF in hexadecimal.

Decimal to Hexadecimal Table (Quick Reference)

Decimal to Hexadecimal Calculator (Online)

Steps to Use an Online Calculator:

1. Enter the decimal number in the input box.
2. Click the “Convert” button.
3. The tool will display the hexadecimal equivalent instantly.

Example Using a Tool:

• Input: 1000
• Output: 3E8

Python Code for Conversion

You can also use Python to quickly convert decimal to hexadecimal:

# Function to convert decimal to hexadecimal
def decimal_to_hex(decimal_number):
    return hex(decimal_number)[2:].upper()

# Example
decimal_number = 255
print(f"Hexadecimal of {decimal_number}: {decimal_to_hex(decimal_number)}")

Output:

Hexadecimal of 255: FF

Benefits of Using a Converter Tool

• Fast and accurate conversion.
• Saves time compared to manual calculations.
• Useful for students, programmers, and engineers.

Applications of Decimal to Hexadecimal Conversion

• Programming: Hexadecimal is widely used in coding (e.g., color codes in CSS, memory addresses).
• Networking: Hex is used to represent MAC addresses and IP configurations.
• Electronics: Hexadecimal is often used in microcontroller programming.