Binary to Hexadecimal

A Binary to Hexadecimal Converter is a tool that converts binary numbers (base-2) into hexadecimal numbers (base-16). This conversion is essential in computer programming, digital systems, and electronics where binary data is often represented more compactly using hexadecimal notation.

The binary system uses two digits: 0 and 1, while the hexadecimal system uses sixteen symbols: 0–9 and A–F.

Conversion Principle:

To convert binary to hexadecimal, group binary digits in sets of four (starting from the right) and then convert each group into its hexadecimal equivalent.

Example:

Binary: 11010111

→ Group: 1101 0111

→ 1101 = D, 0111 = 7

→ Hexadecimal = D7

Common Uses for Binary to Hexadecimal Conversion:

• Programming & Debugging: Hex is commonly used in memory addresses, machine code, and error codes.
• Digital Electronics: Easier to interpret long binary strings by converting them to hex.
• Networking: IP packet headers and MAC addresses use hexadecimal format.
• Cryptography: Keys and hash values are often represented in hexadecimal.
• Educational Use: Helps students understand number systems and data encoding.

Key Features of Binary to Hexadecimal Converter:

• Accurate Group Conversion: Groups binary digits into 4-bit chunks for precise hex results.
• Real-Time Output: Instant conversion as binary is entered.
• Fractional Support: Handles both integer and fractional binary numbers.
• User-Friendly Interface: Easy for beginners and professionals alike.
• High Performance: Converts long binary strings with reliability and speed.
• Hexadecimal Lookup: Utilizes a straightforward 4-bit to hex mapping.

This tool is ideal for converting binary code into human-readable hexadecimal format.

Enter the Binary Number:

Input binary digits like 10111011.

Auto Grouping:

Binary is grouped into 4-bit sections (add leading zeros if needed).

Conversion:

Each group is converted into a single hexadecimal character.

View Result:

The hexadecimal equivalent appears instantly.

Apply in Real-World Scenarios:

Useful in assembly language, networking, and embedded systems.

Formula:

Group binary digits in sets of 4 → Convert each to hex using lookup table.

Example 1: Binary: 1010

→ 1010 = A → Hex = A

Example 2: Binary: 11001111

→ Groups: 1100 1111

→ 1100 = C, 1111 = F → Hex = CF



Example 3: Binary: 100101.1011

→ Integer: 100101 → 0010 0101 = 25

→ Fraction: 1011 = B

→ Hex = 25.B

Binary

Hexadecimal

0000

0

0001

1

0010

2

0011

3

0100

4

0101

5

0110

6

0111

7

1000

8

1001

9

1010

A

1011

B

1100

C

1101

D

1110

E

1111

F

Steps to Convert Binary to Hexadecimal:

1. Start with a binary number.
2. Group digits in 4s from right to left (pad with zeros if needed).
3. Replace each group with its hexadecimal equivalent.

Formula:



Hexadecimal = Join(4-bit binary groups → hex values)