Seven-segment display mapping For a standard seven-segment display (segments labeled a, b, c, d, e, f, g), which segments must be turned ON to display the decimal digit 6?

Difficulty: Easy

Correct Answer: a, c, d, e, f, and g

Explanation:


Introduction / Context:
Seven-segment displays represent decimal digits by illuminating specific segments. Knowing which segments correspond to each digit is crucial when designing decoders (for example, BCD-to-7-segment) or when debugging display wiring and logic.


Given Data / Assumptions:

  • Segments are labeled a through g, with the usual arrangement: a is top, b is upper-right, c is lower-right, d is bottom, e is lower-left, f is upper-left, g is middle.
  • We assume a common, non-stylized font used in textbooks and IC datasheets.


Concept / Approach:
The digit 6 typically lights every segment except b. It shows the top bar (a), both left bars (f, e), the middle bar (g), the bottom bar (d), and the lower-right bar (c). The upper-right bar (b) remains off to distinguish 6 from 8 and 0.


Step-by-Step Solution:

List the standard mappings: 0 → a b c d e f; 1 → b c; 2 → a b d e g; 3 → a b c d g; 4 → b c f g; 5 → a c d f g; 6 → a c d e f g; 7 → a b c; 8 → a b c d e f g; 9 → a b c d f g.From the mapping, digit 6 requires segments a, c, d, e, f, g.Verify visually: forms a closed loop on left side with both left segments lit and the top, middle, bottom, and lower-right segments lit.Confirm that b is OFF so the shape differs from 8 and 0.


Verification / Alternative check:
Consult any BCD-to-7-segment truth table (common-anode or common-cathode; the active level differs but the logical mapping is the same). Digit 6 has b = OFF in the standard glyph.


Why Other Options Are Wrong:

  • b, c, d, e, f, g: Missing a (top bar), so not a 6.
  • a, b, c, d, and f: Missing g and e, shape becomes closer to 9 or malformed.
  • b, c, d, e, f: Missing a and g, does not create a 6.


Common Pitfalls:
Confusing common-anode vs common-cathode wiring (active levels invert) and mislabeling segments, especially b and c.


Final Answer:
a, c, d, e, f, and g

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