To convert binary to hexadecimal, which grouping is used?

To convert binary to hexadecimal, which grouping is used?

• A. Group Binary Number into 3s, Use Table
• B. Use Positional Notation
• C. Divide by 2, Use Remainders
• D. Group Binary Number into 4s, Use Table

Answer: (D)

Grouping binary digits into sets of four lines up perfectly with hex, because one hex digit corresponds to exactly four bits. By padding the binary string on the left with zeros when needed, you always form complete four-bit chunks called nibbles. Then you look up each nibble in a table that maps 0000 through 1111 to the hex digits 0–9 and A–F. For example, the binary 1011 0111 0001 breaks into three nibbles: 1011 → B, 0111 → 7, 0001 → 1, giving hex B71. This direct mapping is why grouping into four bits is the standard method for binary-to-hex conversion. Grouping into threes would align with octal, not hex, and using division or general positional notation isn’t the practical nibble-based shortcut used here.

Grouping binary digits into sets of four lines up perfectly with hex, because one hex digit corresponds to exactly four bits. By padding the binary string on the left with zeros when needed, you always form complete four-bit chunks called nibbles. Then you look up each nibble in a table that maps 0000 through 1111 to the hex digits 0–9 and A–F. For example, the binary 1011 0111 0001 breaks into three nibbles: 1011 → B, 0111 → 7, 0001 → 1, giving hex B71. This direct mapping is why grouping into four bits is the standard method for binary-to-hex conversion. Grouping into threes would align with octal, not hex, and using division or general positional notation isn’t the practical nibble-based shortcut used here.