To convert binary to octal, which grouping is used?

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Multiple Choice

To convert binary to octal, which grouping is used?

Explanation:
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.

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