Subjects number systems

Binary To Hex

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Binary To Hex


1. The problem is to convert binary numbers to hexadecimal numbers. 2. Hexadecimal is base 16, and binary is base 2. 3. Each hexadecimal digit corresponds to exactly 4 binary digits (bits). 4. To convert, group the binary number into groups of 4 bits starting from the right (add leading zeros if necessary). 5. Convert each 4-bit group into its hexadecimal equivalent. Example: Convert binary $101110111$ to hexadecimal. Step 1: Group bits in 4s from the right: $\,0001\,0111\,0111$ (adding leading zeros). Step 2: Convert each group: - $0001_2 = 1_{16}$ - $0111_2 = 7_{16}$ - $0111_2 = 7_{16}$ Step 3: Combine hexadecimal digits: $177_{16}$ So, binary $101110111_2$ converts to hexadecimal $177_{16}$.