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Binary to Hex Converter: Free Online Tool with Steps and Examples

Binary to Hex Converter: Free Online Tool with Steps and Examples

How to Convert Binary to Hexadecimal: Step-by-Step Guide and Table

Binary to Hex Converter – Free Online Calculator with Steps, Table & Logic

Binary to Hex Converter

What is Binary to Hex Converter?

A Binary to Hex Converter is a simple online calculator that transforms a number from binary (base-2) into its hexadecimal (base-16) equivalent. Binary numbers use only 0 and 1, while hexadecimal uses 0-9 plus A-F. Since computers work with binary, but hexadecimal is shorter to read and commonly used in technology (memory addresses, color codes, microcontrollers), this conversion is extremely useful in maths and computer science.

Formula or Logic Behind Binary to Hex Converter

The logic for converting binary to hexadecimal is straightforward:
1. Take the binary number and group the digits into blocks of 4 (from right). If the last group has less than 4 digits, pad with zeros to the left.
2. For each 4-bit group, find its decimal value (e.g., 1101 = 13).
3. Convert each group’s value into its hexadecimal symbol (0-9 or A-F).

This method is fast, accurate, and suitable for any binary number, no matter how large.

Binary to Hexadecimal Conversion Table

Binary (4 bits)	Hex
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 Use the Binary to Hex Converter

Enter the binary number into the input box
Click on the 'Convert to Hex' button
Get instant results, including step-by-step conversion

Why Use Vedantu’s Binary to Hex Converter?

Our Binary to Hex Converter is easy to use on any device, works instantly, shows clear steps for students, and is trusted by lakhs of learners and tech professionals across India. Whether you're in school, college, or working in electronics, Vedantu delivers fast, accurate, and reliable conversions every time—no signup, no hassle.

Real-life Applications of Binary to Hex Converter

This calculator is widely used to:

Convert binary computer memory addresses, instructions, or data into readable formats (hexadecimal)
Decode color codes in web design (hex colors)
Debug low-level programs, microcontrollers, or embedded systems
Understand digital electronics and data communication protocols
Prepare for computer science, engineering, and competitive exams involving number systems

Whether you're working on hardware, coding, or studying maths, binary to hex conversions are essential.

Solved Examples: Binary to Hex Conversion

Binary	Hexadecimal
1010	A
1111	F
11011010	DA
10001	11
100110011001	999
11111111	FF
111011	3B

For more on number systems, visit these resources: Binary Number System, Hexadecimal Number System, and Decimal Number System. Explore even more concepts in Number System or practice with Prime Numbers.

FAQs on Binary to Hex Converter: Free Online Tool with Steps and Examples

1. How do I convert binary to hexadecimal?

Binary to hexadecimal conversion involves grouping binary digits into sets of four, starting from the rightmost digit. Each 4-bit group is then converted to its equivalent hexadecimal digit using a conversion table (0000 = 0, 0001 = 1, ..., 1111 = F). For example, the binary number 11011010 is grouped as 1101 1010. Converting each group gives D and A, resulting in the hexadecimal number DA.

2. What is a binary to hex converter?

A binary to hex converter is a tool that automatically transforms a binary number (base-2) into its hexadecimal equivalent (base-16). This simplifies representation, making large binary numbers easier to read and understand, particularly in computer science and programming.

3. What is the formula for binary to hexadecimal conversion?

The formula is to group the binary digits into sets of four, starting from the right. Then, convert each group of four binary digits to its corresponding hexadecimal digit using the standard binary-to-hexadecimal conversion table. This table maps each four-bit binary combination to its single hexadecimal digit representation.

4. How many binary digits equal one hexadecimal digit?

Four binary digits (bits) are equivalent to one hexadecimal digit. This is because hexadecimal is base-16 (16 digits: 0-9 and A-F), and 2⁴ = 16.

5. What are the real-world applications of binary to hex conversion?

Binary to hex conversion finds applications in various fields, including:

Microcontroller programming
Digital circuit debugging
Computer networking (IP addresses)
Web design (hex color codes)
Assembly language and hardware design

6. What is the hexadecimal equivalent of the binary number 101101?

The binary number 101101 is first padded with a leading zero to make it a multiple of four: 0101 101. Then converting each group of four bits to hex, we get 5 and 5, resulting in the hexadecimal number 2D.

7. How to convert binary 11101001 to hexadecimal?

Group the binary digits into sets of four: 1110 1001. Then use the conversion table: 1110 is E and 1001 is 9. Therefore, the hexadecimal equivalent is E9.

8. What is the easiest way to convert binary to hexadecimal?

The easiest way is to use an online binary to hex converter tool. Alternatively, you can use the method of grouping binary digits into fours and then using the conversion table to find the corresponding hexadecimal value for each group.

9. Why is hexadecimal used in computer science?

Hexadecimal (base-16) is used because it provides a more compact representation of binary data compared to binary itself. Each hexadecimal digit represents 4 bits, making it easier to read and write large binary numbers. It's commonly used in memory addresses, color codes, and other computer-related contexts.

10. What is the binary representation of the hexadecimal number 3A?

To convert 3A from hexadecimal to binary, convert each hexadecimal digit separately. 3 in hexadecimal is 0011 in binary, and A is 1010. Combining these gives 0011 1010, or 111010.

11. Explain the step-by-step process for binary to hex conversion.

1. **Group:** Divide the binary number into groups of four digits, starting from the right. Add leading zeros if necessary to complete the last group. 2. **Convert:** Use a binary-to-hexadecimal conversion table to replace each four-digit binary group with its corresponding hexadecimal equivalent. 3. **Combine:** Combine the resulting hexadecimal digits to obtain the final hexadecimal representation of the original binary number.