Hexadecimal to Binary Converter

Understanding Hexadecimal to Binary Conversion 🤔

Hexadecimal, a base-16 numbering system, utilizes 16 unique symbols: 0-9 for values 0-9, and A-F for values 10-15. Meanwhile, binary, a base-2 system, employs only two symbols: 0 and 1.

Converting hexadecimal to binary involves mapping each hexadecimal digit to its equivalent 4-bit binary representation.

Hexadecimal to Binary Conversion Table

• 0 in hexadecimal is 0000 in binary
• 1 in hexadecimal is 0001 in binary
• 2 in hexadecimal is 0010 in binary
• 3 in hexadecimal is 0011 in binary
• 4 in hexadecimal is 0100 in binary
• 5 in hexadecimal is 0101 in binary
• 6 in hexadecimal is 0110 in binary
• 7 in hexadecimal is 0111 in binary
• 8 in hexadecimal is 1000 in binary
• 9 in hexadecimal is 1001 in binary
• A in hexadecimal is 1010 in binary
• B in hexadecimal is 1011 in binary
• C in hexadecimal is 1100 in binary
• D in hexadecimal is 1101 in binary
• E in hexadecimal is 1110 in binary
• F in hexadecimal is 1111 in binary

How to Convert Hexadecimal to Binary?

Converting hexadecimal to binary involves mapping each hexadecimal digit to its equivalent 4-bit binary representation.

To convert a hexadecimal number to binary, follow these steps:

1. Write down the binary equivalent of each hexadecimal digit.
2. Combine the binary digits together.

The Conversion Process in Action 🔄

Let's illustrate the conversion process with two step-by-step examples:

1. Hexadecimal: 3A4

   • Binary Equivalent:
     • 3: 0011
     • A: 1010
     • 4: 0100
   • Combined: 0011 1010 0100

2. Hexadecimal: C0FFEE

   • Binary Equivalent:
     • C: 1100
     • 0: 0000
     • F: 1111
     • F: 1111
     • E: 1110
     • E: 1110
   • Combined: 1100 0000 1111 1111 1110 1110

Unveiling the Power of Hexadecimal 🚀

Hexadecimal numbers play a crucial role in various computing applications, including memory addressing, color representation in web design (e.g., HTML/CSS color codes), and data encoding (e.g., Unicode characters).

Due to its compact representation compared to binary, hexadecimal simplifies data manipulation and improves readability in programming contexts.