When converting a binary number to hexadecimal, which grouping is used?

When converting a binary number to hexadecimal, which grouping is used?

• A. Group Binary Digits into Sets of Three
• B. Divide by 2, Use Remainders
• C. Group Binary Digits into Sets of Four
• D. Use Positional Notation

Answer: (C)

Grouping binary digits into sets of four is used because each hexadecimal digit represents four bits. Since four bits make 2^4 = 16 values, every 4-bit block maps directly to one hex digit (0–9, A–F). If the total number of bits isn’t a multiple of four, pad with leading zeros, then convert each quartet to its hex symbol. For example, 1011 0010 becomes B2 in hex. Grouping by threes would be for octal, not hex; dividing by 2 with remainders is a different conversion method, and positional notation is a general concept not the specific grouping rule for hex.

Grouping binary digits into sets of four is used because each hexadecimal digit represents four bits. Since four bits make 2^4 = 16 values, every 4-bit block maps directly to one hex digit (0–9, A–F). If the total number of bits isn’t a multiple of four, pad with leading zeros, then convert each quartet to its hex symbol. For example, 1011 0010 becomes B2 in hex. Grouping by threes would be for octal, not hex; dividing by 2 with remainders is a different conversion method, and positional notation is a general concept not the specific grouping rule for hex.