Convert (615)₈ to BCD

Short answer

First convert octal to decimal: (615)₈ = 397. Then encode each decimal digit in 4-bit BCD: 3→0011, 9→1001, 7→0111, giving 0011 1001 0111.

Convert (615)₈ = (?)BCD.

BCD codes decimal digits, so first convert octal to decimal.

Step 1: Octal to decimal

\begin{aligned} (615)_8 &= 6 \times 8^2 + 1 \times 8^1 + 5 \times 8^0 \\ &= 384 + 8 + 5 \\ &= (397)_{10} \end{aligned}

Step 2: Each decimal digit in 4 bits

Digit	3	9	7
BCD	0011	1001	0111

Answer: $(615)_8 = (397)_{10} = (0011\ 1001\ 0111)_{BCD}$

✓ Answer checked by Claude Opus 5.5 (high effort)

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