In digital electronics, which specific logic circuit is used to convert a BCD (binary-coded decimal) input into an equivalent decimal (0–9) output for display or selection purposes?

Difficulty: Easy

Correct Answer: decoder

Explanation:


Introduction / Context:
A common task in digital systems is to take a 4-bit BCD input (0000 to 1001 representing 0–9) and produce a one-of-ten output that can directly drive indicators or select one of several circuits. The device dedicated to this mapping is a BCD-to-decimal decoder (often called a 1-of-10 decoder).


Given Data / Assumptions:

  • Input domain: valid BCD codes (0000–1001).
  • Output domain: ten mutually exclusive lines (D0–D9), one active at a time.
  • Invalid BCD codes (1010–1111) are either ignored or treated as don’t-cares depending on the design.


Concept / Approach:
A decoder converts coded inputs into a set of outputs in which exactly one line (or a defined pattern) represents each input code. BCD-to-decimal decoders, such as classic TTL/CMOS parts, assert exactly one of ten outputs corresponding to the decimal value of the BCD input. This is distinct from encoders, multiplexers, or generic “code converters.”


Step-by-Step Solution:

Identify the mapping need: 4-bit BCD → ten distinct outputs. Recognize the device that performs 1-of-N selection from binary inputs. Select the device class: decoder (specifically BCD-to-decimal).


Verification / Alternative check:
Standard logic catalogs list BCD-to-decimal decoders used to drive ten lamps, relays, or display segments (through drivers), validating the choice.


Why Other Options Are Wrong:

Encoder: performs the reverse (many inputs to a binary code). Multiplexer: selects one data input to pass to a single output. Code converter: too vague; many devices convert codes, but the precise, canonical device here is a decoder. None: incorrect because an exact device type exists.


Common Pitfalls:
Confusing decoders and demultiplexers (they are related but serve different immediate purposes). Also, forgetting to handle invalid BCD inputs can cause unintended outputs.


Final Answer:
decoder

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