BCD encoding practice What is the Binary-Coded Decimal (BCD) representation for the decimal number 347?

Introduction / Context:
In BCD, each decimal digit is encoded separately as a 4-bit binary nibble. This format is common in digital displays and decimal-centric arithmetic operations.

Given Data / Assumptions:

• Number: 347 (three decimal digits).
• BCD maps: 0→0000 … 9→1001.

Concept / Approach:
Encode each digit independently and write the nibbles in order from most significant digit to least significant digit.

Step-by-Step Solution:

Verification / Alternative check:
Decode the BCD nibbles back: 0011→3, 0100→4, 0111→7 to recover 347.

Why Other Options Are Wrong:

• 1100 1011 1000 and 1100 1011 0110: These contain nibbles larger than 1001, which are not valid BCD digits.
• 0011 0100 0001: Encodes 341, not 347.

Common Pitfalls:
Using straight binary for the whole number instead of per-digit encoding, or producing an invalid BCD nibble above 1001.

Final Answer:
0011 0100 0111