BCD to decimal interpretation Given the BCD value 1000 0000 0011 (grouped as 4-bit BCD digits), what is the corresponding decimal number?

Introduction / Context:
Binary-Coded Decimal (BCD) represents each decimal digit separately using 4 bits. Correctly grouping the bits into nibbles is key to decoding.

Given Data / Assumptions:

• BCD bit string: 1000 0000 0011.
• Each nibble is a decimal digit 0–9.
• Most significant group is on the left.

Concept / Approach:
Split into nibbles: 1000, 0000, 0011. Convert each nibble to decimal: 1000 → 8, 0000 → 0, 0011 → 3. Combine digits in order to form the decimal number 803.

Step-by-Step Solution:

Verification / Alternative check:
Re-encode 803 into BCD: 8 → 1000, 0 → 0000, 3 → 0011, matching the given pattern.

Why Other Options Are Wrong:

• 8003/1003/103: Insert extra or missing digits not present in the 3-nibble BCD value.

Common Pitfalls:
Failing to group into 4-bit chunks or interpreting as straight binary instead of BCD.

Final Answer:
803