To convert binary to octal, which grouping is used?

To convert binary to octal, which grouping is used?

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

Answer: (C)

Grouping into threes is used because each octal digit represents exactly three binary bits (2^3 = 8). So you split the binary number from the right into blocks of three bits, padding with leading zeros if needed, and then convert each triplet to its octal digit using a simple mapping (000→0 up to 111→7). For example, 101110 becomes 101 and 110, which map to 5 and 6, giving octal 56. This approach is the one that uses a 3-bit grouping and a table for conversion. Grouping into fours is for hex, while other methods aren’t the standard binary-to-octal process.

Grouping into threes is used because each octal digit represents exactly three binary bits (2^3 = 8). So you split the binary number from the right into blocks of three bits, padding with leading zeros if needed, and then convert each triplet to its octal digit using a simple mapping (000→0 up to 111→7). For example, 101110 becomes 101 and 110, which map to 5 and 6, giving octal 56. This approach is the one that uses a 3-bit grouping and a table for conversion. Grouping into fours is for hex, while other methods aren’t the standard binary-to-octal process.