Table of Contents
Converting binary to hex involves grouping binary digits into sets of four and then mapping them to their hex equivalents. Here’s the process in mathematical terms:
- Grouping: Divide the binary number into sets of four digits, starting from the right.
- Padding: If the last group has fewer than four digits, add leading zeros.
- Conversion Table: Create a conversion table mapping each four-digit binary group to its hex equivalent.
- Hex Digits: Replace each binary group with its corresponding hex value from the table.
- Concatenation: Join the hex values of all groups to get the final hex representation.
How to convert from binary to hex
Easily convert each 4 binary digits to hex digit according to this table:
| 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 |
Solved Example
Example 1: Convert (01001110)2 to hex
Ans. (0100)2 = (4)16
(1110)2 = (E)16
So, (01001110)2 = (4E)16
Example 2 – Convert (0100101000000001)2 to hex
Ans. (0100)2 = (4)16
(1010)2 = (A)16
(0000)2 = (0)16
(0001)2 = (1)16
So, (0100101000000001)2 = (4A01)16
FAQs on binary to hex
How do you convert from binary to hexadecimal?
Converting binary to hexadecimal involves grouping binary digits into sets of four, mapping them to their hex equivalents, and concatenating the results.
What is the equivalent of 01011010 to hexadecimal?
he binary number 01011010 is equivalent to the hexadecimal value 5A.
What is the decimal for 00010000?
The binary number 00010000 is equivalent to the decimal value 16.
What is the hexadecimal for 1010?
The binary number 1010 is equivalent to the hexadecimal value A.
What is 0011 0100 in hexadecimal?
The binary number 0011 0100 is equivalent to the hexadecimal value 34.
What does 1111 mean in hexadecimal?
The binary number 1111 is equivalent to the hexadecimal value F.
