Binaryto Hexadecimal Converter
Free Binaryto hexadecimal Converter for numeral systems units. Enter a value to see equivalent measurements across systems.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Group binary into 4-bit nibbles; each nibble = one hex digit (0-F)
Pad the binary number to a multiple of 4 bits. Group into nibbles (4 bits each) from right to left. Convert each nibble to its hex equivalent: 0000=0 through 1111=F. Concatenate the hex digits. For reverse conversion, expand each hex digit to its 4-bit binary equivalent.
Worked Examples
Example 1: Binary to Hexadecimal Conversion
Problem:Convert binary 11010110 to hexadecimal.
Solution:Group into nibbles: 1101 0110\n1101 = D (13 in decimal)\n0110 = 6 (6 in decimal)\nHexadecimal: D6
Result:11010110 (binary) = D6 (hex) = 214 (decimal)
Example 2: Hexadecimal to Binary
Problem:Convert hexadecimal 3F to binary.
Solution:3 = 0011 (binary)\nF = 1111 (binary)\nCombined: 00111111
Result:3F (hex) = 00111111 (binary) = 63 (decimal)
Frequently Asked Questions
How do I convert binary to hexadecimal?
Binary to hexadecimal conversion is straightforward because each hexadecimal digit maps to exactly 4 binary bits (a nibble). First, pad the binary number with leading zeros so its length is a multiple of 4. Then group the bits into sets of 4 from right to left. Convert each 4-bit group to its hexadecimal equivalent: 0000=0, 0001=1, up to 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F.
What does the 0x prefix mean in hexadecimal numbers?
The 0x prefix is a common notation convention indicating that the following digits are in hexadecimal format. It originated in C programming language and has been adopted by most programming languages, debuggers, and technical documentation. Without the prefix, a value like 10 would be ambiguous - it could be decimal ten or hexadecimal sixteen. Other conventions include a trailing h (10h) used in assembly language and a hash prefix (#FF0000) used in CSS color codes.
What are common uses of hexadecimal in computing?
Hexadecimal is used extensively in computing for memory addresses, MAC addresses (like 00:1A:2B:3C:4D:5E), IPv6 addresses, CSS color codes (like #FF5733), error codes, Unicode code points (like U+0041 for the letter A), and byte-level data inspection in hex editors. Its compact representation of binary data makes it ideal for any situation where developers need to read or specify binary values in a human-friendly format.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy