How do we convert binary to BCD?

Convert to decimal, then code each decimal digit in 4 bits

Group the binary bits in fours directly

Convert (1011011)₂ to BCD

Short answer

Convert binary 1011011 to decimal 91. Encode each decimal digit in 4-bit BCD: 9 → 1001, 1 → 0001; result 1001 0001 (BCD).

Convert (1011011)₂ = (?)BCD.

BCD codes each decimal digit separately in 4 bits, so first convert the binary number to decimal.

Step 1: Binary to decimal

\begin{aligned} (1011011)_2 &= 1\cdot 2^6 + 0\cdot 2^5 + 1\cdot 2^4 + 1\cdot 2^3 + 0\cdot 2^2 + 1\cdot 2^1 + 1\cdot 2^0 \\ &= 64 + 16 + 8 + 2 + 1 \\ &= (91)_{10} \end{aligned}

Step 2: Each decimal digit to 4-bit BCD

Decimal digit	9	1
BCD	1001	0001

Answer: $(1011011)_2 = (91)_{10} = (1001\ 0001)_{BCD}$

✓ Answer checked by Claude Opus 5.5 (high effort)