Binary to Hex Converter - Convert Binary to Hexadecimal Online
Result:
1010 bin = A hex
Step-by-step conversion:
1. Group binary digits in sets of 4 from right to left
2. Convert each group to decimal, then to hex
3. Combine hex digits to get final result
How Binary to Hex Conversion Works
Group Digits
Split binary into groups of 4
Convert Groups
Each group becomes one hex digit
Combine
Join hex digits together
Binary to Hexadecimal Conversion Method
Step 1: Start from the right side of the binary number
Step 2: Group the binary digits into sets of 4 (add leading zeros if needed)
Step 3: Convert each 4-bit group to its decimal equivalent
Step 4: Convert decimal values to hexadecimal (0-9, A-F)
Step 5: Write the hex digits in the same order as the groups
Example: Convert 11010110 to hex
Binary: 1101 0110
Group 1: 1101 = 8+4+0+1 = 13 = D
Group 2: 0110 = 0+4+2+0 = 6 = 6
Result: D6
Binary to Hex Reference Table
4-Bit Binary to Hex
| Binary | Decimal | Hex |
|---|---|---|
| 0000 | 0 | 0 |
| 0001 | 1 | 1 |
| 0010 | 2 | 2 |
| 0011 | 3 | 3 |
| 0100 | 4 | 4 |
| 0101 | 5 | 5 |
| 0110 | 6 | 6 |
| 0111 | 7 | 7 |
Continued
| Binary | Decimal | Hex |
|---|---|---|
| 1000 | 8 | 8 |
| 1001 | 9 | 9 |
| 1010 | 10 | A |
| 1011 | 11 | B |
| 1100 | 12 | C |
| 1101 | 13 | D |
| 1110 | 14 | E |
| 1111 | 15 | F |
Common Binary to Hex Examples
Number System Comparison
Decimal 10
Decimal 15
Decimal 255
Decimal 170
Practice Problems
Problem 1:
Convert binary 1101 to hex
Solution:
1101 = 8+4+0+1 = 13
13 in hex = D
Answer: D
Problem 2:
Convert hex A to binary
Solution:
A = 10 in decimal
10 in binary = 1010
Answer: 1010
Problem 3:
Convert binary 11110000 to hex
Solution:
Group: 1111 0000
1111 = F, 0000 = 0
Answer: F0
Problem 4:
Convert hex FF to binary
Solution:
F = 1111, F = 1111
Combine: 11111111
Answer: 11111111
Problem 5:
Convert binary 101101 to hex
Solution:
Pad: 0010 1101
0010 = 2, 1101 = D
Answer: 2D
Problem 6:
Convert hex 3C to binary
Solution:
3 = 0011, C = 1100
Combine: 00111100
Answer: 111100
Real-World Applications
Computer Programming
Converting between binary and hex for memory addresses, color codes, and data representation
Digital Electronics
Working with microcontrollers, FPGA programming, and digital circuit design
Web Development
Converting hex color codes and understanding character encoding systems
Network Administration
Understanding IP addresses, subnet masks, and network configuration
Cybersecurity
Analyzing malware, reverse engineering, and understanding system vulnerabilities
Data Analysis
Processing binary data files and converting between different number systems
Understanding Binary and Hexadecimal
What is Binary?
Binary is a number system that uses only two digits: 0 and 1. It's the foundation of all computer systems.
Key features:
- Base-2 number system
- Each digit represents a power of 2
- Used in all digital devices
- Easy for computers to process
What is Hexadecimal?
Hexadecimal is a base-16 number system using digits 0-9 and letters A-F. It's a compact way to represent binary data.
Key features:
- Base-16 number system
- One hex digit = 4 binary digits
- Easier to read than binary
- Common in programming
Why Convert Binary to Hex?
Readability: Hex is much shorter and easier to read than long binary strings
Efficiency: Programmers use hex to represent large binary values compactly
Standards: Many computer systems use hex for memory addresses and data representation
Frequently Asked Questions
How do you convert binary to hexadecimal?
To convert binary to hex, group the binary digits into sets of 4 from right to left. Convert each group to decimal, then to hex. For example, 1010 becomes A in hex.
Why is hexadecimal used in computing?
Hex is used because it's a compact way to represent binary data. One hex digit represents exactly 4 binary digits, making it easier to read and write large binary numbers.
What does each hex digit represent?
Hex digits 0-9 represent values 0-9, and A-F represent values 10-15. Each hex digit corresponds to exactly 4 binary digits (bits).
Can you convert any binary number to hex?
Yes, any binary number can be converted to hex. If the binary number doesn't have a multiple of 4 digits, add leading zeros to make complete groups of 4.
What's the largest value in a 4-bit binary group?
The largest 4-bit binary value is 1111, which equals 15 in decimal and F in hexadecimal.
How do you convert hex back to binary?
To convert hex to binary, replace each hex digit with its 4-bit binary equivalent. For example, A becomes 1010, F becomes 1111.
Is this converter accurate for all values?
Yes, this converter uses standard binary to hexadecimal conversion algorithms and provides accurate results for all valid binary and hex inputs.
Where is binary to hex conversion used?
It's used in programming, computer science, digital electronics, network administration, cybersecurity, and anywhere binary data needs to be represented in a more readable format.