Multiple choice

Consider a vending machine which sells product ‘A’ and ‘B’ and has push buttons X1 and X2. On pressing the button of the vending machine, the price of either product is displayed in a seven – segment display. Case: No buttons pressed - ‘0’ is displayed signifying Rs.’0’. Case: If only X1 is pressed - ‘2’ is displayed signifying Rs. 2. Case: If only X2 is pressed - ‘5’ is displayed signifying Rs. 5. If both X1 and X2 are pressed - ‘E’ is displayed signifying error.

The figure given below shows the name of the segment in the seven – segment display and the glow of the display for ‘0’, ‘2’, ‘5’, and ‘E’. If segments ‘a’ to ‘g’ are considered as functions of X1 and X2, then which of the following is true?

  1. g = $\bar P_1$ + P2

  2. g = P1 + P2
  3. g = $\bar P_1$+ P2

  4. g = P1 + P2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

0 = $\bar X_1\bar X_2$, 2 = X1$\bar X_2$,  5 = X2$\bar X_1$,  E = X1X2 G = 2 + 5 + E = X1 + X2 a = 1b = 0 + 2 = $\bar X_2$c = 0 + 5 = $\bar X_1$d = 1e = 0 + 2 + E = X1 + X2 f = 0 + 5 + E = X1 X2

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