Hex to Binary Converter | Free Calculator Online

Hex to Binary Converter | Free Calculator Online

Convert hex to binary instantly. Free calculator with step-by-step conversion process.

HEX Length: 0 characters
Binary Length: 0 bits
Conversion Details
Input Format:
-
Decimal Value:
0
Nibbles:
0
Bytes:
0
Validation Status
Valid HEX:
Valid Binary:
Validation message will appear here

Use our HEX to Binary Converter to easily transform hexadecimal values into binary numbers. Learn the conversion process, explore formulas, and more!

What is HEX to Binary Conversion?

HEX (Hexadecimal) and Binary are two commonly used number systems in computing. HEX uses base 16, consisting of digits 0-9 and letters A-F, whereas Binary uses base 2, consisting only of 0s and 1s.

Converting from HEX to Binary is essential in computer science and digital electronics because it simplifies data representation and understanding of binary machine language.

How to Convert HEX to Binary?

The process of converting a HEX number to Binary involves replacing each HEX digit with its corresponding 4-bit binary equivalent. Let's break it down step by step:

Conversion Steps:

  1. Identify each HEX digit in the given number.
  2. Replace each HEX digit with its 4-bit binary equivalent.
  3. Combine all the binary digits to form the final binary number.

HEX to Binary Conversion Table

Refer to the table below for the direct HEX to Binary conversions:

HEX Digit Binary Equivalent
00000
10001
20010
30011
40100
50101
60110
70111
81000
91001
A1010
B1011
C1100
D1101
E1110
F1111

HEX to Binary Conversion Formula

Each HEX digit is equivalent to a 4-bit binary number. The general formula is:


HEX: (A1A0)₁₆ = (A1)₁₆ (A0)₁₆
Binary: (A1A0)₂ = (A1 in Binary) (A0 in Binary)
        

For example, to convert 2F from HEX to Binary:

  • 2 in Binary = 0010
  • F in Binary = 1111

So, 2F in Binary is: 00101111

Why Use Our HEX to Binary Converter?

Our HEX to Binary Converter provides a quick, accurate, and user-friendly solution for anyone needing to perform HEX to Binary conversions. Whether you're a student, programmer, or engineer, our tool simplifies complex calculations, ensuring efficiency and accuracy.

Frequently Asked Questions

The HEX (Hexadecimal) number system is a base-16 number system that uses digits 0-9 and letters A-F to represent values.

HEX to Binary conversion is crucial in computing because it simplifies data interpretation and aligns with the binary nature of machine-level programming.

Each HEX digit represents exactly 4 binary digits (bits).

Yes, by referring to the HEX to Binary conversion table, you can manually replace each HEX digit with its binary equivalent.