Binary to Hexadecimal
Binary to Hexadecimal Converter
Binary to Hexadecimal Overview
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: 0β9 and AβF.
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
β Group: 1101 0111
β 1101 = D, 0111 = 7
β 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.
How It Works
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.
Examples
Formula:
Group binary digits in sets of 4 β Convert each to hex using lookup table.
Example 1: Binary: 1010
β 1010 = A β Hex = A
Example 2: Binary: 11001111
β Groups: 1100 1111
β 1100 = C, 1111 = F β Hex = CF
ο»Ώ
Example 3: Binary: 100101.1011
β Integer: 100101 β 0010 0101 = 25
β Fraction: 1011 = B
β Hex = 25.B
Reference Tables
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:
- Start with a binary number.
- Group digits in 4s from right to left (pad with zeros if needed).
- Replace each group with its hexadecimal equivalent.
Formula:
ο»Ώ
Hexadecimal = Join(4-bit binary groups β hex values)
Additional Information
A Unique Explanation for the Binary to Hexadecimal Converter:
Binary numbers can get long and difficult to read. Hexadecimal condenses every 4 binary digits into a single hex character, simplifying interpretation.
For example, binary 11111010 becomes:
1111 = F, 1010 = A β Hex = FA
This conversion is used in low-level programming, color codes (like #FF00FF), hardware registers, and debugging.
Binary to Hexadecimal Conversion Table
Binary
Hexadecimal
1010
A
1111
F
10011011
9B
00110100
34
11001000
C8
11111111
FF
00010010
12
10000001
81
FAQs
1. What is binary to hexadecimal conversion?
It's converting a base-2 number into a base-16 number by grouping binary digits in 4s.
2. Why use hexadecimal instead of binary?
Hex is shorter, easier to read, and directly maps to binaryβ1 hex digit equals 4 binary bits.
3. How do I convert binary fractions to hex?
Group bits after the decimal point into 4s and convert each to hex.
4. Is binary to hex used in programming?
Yes, especially in machine code, memory addressing, and debugging.
ο»Ώ
5. Whatβs the hexadecimal of binary 11111111?
Split into 4-bit groups: 1111 1111 β F F β Hex = FF