How to Convert Between Binary and Hexadecimal by Hand
Converting between binary and hexadecimal can be done using specific methods. Here’s a detailed guide:
Step-by-Step Guide
1. To convert from binary to hexadecimal, group the binary digits into sets of 4 (each set represents one hexadecimal digit). For example, the binary string 01001000 can be grouped as 0100 1000.
2. Convert each set of 4 binary digits to its hexadecimal equivalent. For example:
- 0100 = 4
- 1000 = 8
So, the binary string 01001000 converts to 48 in hexadecimal.
3. To convert from hexadecimal to binary, convert each hexadecimal digit to its 4-bit binary equivalent. For example, to convert 48 to binary:
- 4 = 0100
- 8 = 1000
So, 48 in hexadecimal converts to 01001000 in binary.