Coding systems — identify the primary advantage of BCD over straight binary. Question: What is the main practical benefit of Binary Coded Decimal (BCD) when compared with pure binary representation?

Difficulty: Easy

Correct Answer: The relative ease of converting to and from decimal.

Explanation:


Introduction / Context:
BCD (Binary Coded Decimal) encodes each decimal digit separately in 4 bits. While it is less storage-efficient than straight binary, it simplifies human-centric decimal tasks such as display, entry, and rounding in financial computations.


Given Data / Assumptions:

  • Comparing BCD vs straight binary
  • Focus on practical advantage for everyday systems


Concept / Approach:
BCD’s strength lies in easy decimal digit isolation and conversion. Each 4-bit group maps directly to one decimal digit (0–9), making formatting and decimal I/O trivial. Straight binary packs value efficiently but requires repeated division/modulus by 10 to extract digits.


Step-by-Step Explanation:

BCD: one nibble = one decimal digit ⇒ easy display/entryBinary: must convert by arithmetic operations to get decimal digitsTherefore, BCD simplifies conversion to/from decimal


Verification / Alternative check:
Consider a decimal cash amount like 123.45. In BCD, each digit is independently represented, easing precise decimal rounding and avoiding some binary/decimal conversion pitfalls.


Why Other Options Are Wrong:

  • Fewer bits: false; BCD uses more bits than straight binary.
  • Easy to hex or straight binary: not the primary advantage; conversion exists but is not inherently simpler than decimal I/O.
  • Arithmetic faster: CPU-dependent and generally false; binary arithmetic is typically faster and smaller.


Common Pitfalls:

  • Assuming BCD is more efficient; it is more convenient for decimal, not more compact.


Final Answer:
The relative ease of converting to and from decimal.

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