Courses
By Shailendra Singh
|
Updated on 5 Mar 2025, 15:26 IST
Converting binary numbers to hexadecimal is a fundamental operation in computer science and digital electronics. Our Binary to Hex Converter simplifies this process, allowing you to effortlessly convert binary values to hexadecimal equivalents.
Binary and Hexadecimal (Hex) are two numeral systems used to represent numbers, particularly in the context of computing and digital systems.
Binary is a base-2 numeral system, which means it uses only two symbols to represent numbers: 0 and 1. Each digit in a binary number represents a power of 2.
Hexadecimal is a base-16 numeral system, which means it uses sixteen symbols to represent numbers: 0 to 9 and A to F (where A represents 10, B represents 11, and so on up to F, which represents 15). Hexadecimal is often used in computing and programming as a shorthand way to represent binary numbers.
To convert binary to hexadecimal, follow these steps:
Example 1:
Convert binary 11011002 to hex:
Convert every 4 binary bits (from bit0) to hex digit:
11011002 = 110 1100 = 6 C = 6C16
Example 2:
Convert 10010012 into a hexadecimal number.
Solution: 10010012
= 0100 1001
= 4916
Binary | 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 |
To convert a binary number to its equivalent hexadecimal representation, you can follow these steps:
Example1 :
Convert (1110)₂ to hexadecimal.
Group the binary digits into sets of 4 bits: (1110)₂
Replace each group with its corresponding hexadecimal digit: (1110)₂ = (E)₁₆
Example 2:
Convert (0.11001)₂ to hexadecimal.
Group the binary digits into sets of 4 bits: (0.1100 1000)₂
Replace each group with its corresponding hexadecimal digit: (0.11001000)₂ = (0.C8)₁₆
By following these steps, you can easily convert any binary number to its equivalent hexadecimal representation.
To convert from binary to hexadecimal, follow these steps: Group the binary number digits into sets of 4, starting from the right. If the leftmost group has fewer than 4 digits, add leading zeros to make it a complete group. Write down the hexadecimal equivalent for each group of 4 binary digits using the binary-to-hexadecimal conversion table.
The binary number 01011010 is equivalent to the hexadecimal number 5A.
The binary number 0000 is equivalent to the hexadecimal number 0.
The hexadecimal number 16 is equivalent to the binary number 00010000.
32 bits in binary can be represented as a sequence of 32 zeros and ones.
The hexadecimal number 255 is equivalent to the binary number 11111111.