# GATE Papers >> ECE >> 2009 >> Question No 59

Question No. 59

Two products are sold from a vending machine, which has two push buttons P1 and P2. When a button is pressed, the price of the corresponding product is displayed in a 7-segment display.
If no buttons are pressed, ‘0’ is displayed, signifying ‘Rs. 0’.
If only P1 is pressed, ‘2’ is displayed, signifying ‘Rs. 2’.
If only P2 is pressed, ‘5’ is displayed, signifying ‘Rs. 5’.
If both P1 and P2 are pressed, ‘E’ is displayed, signifying ‘Error’.
The names of the segments in the 7-segment display, and the glow of the display for ‘0’, ‘2’, ‘5’ and ‘E’, are shown below

Consider
(i) push button pressed/not pressed is equivalent to logic 1/0 respectively
(ii) a segment glowing / not glowing in the display is equivalent to logic 1/0 respectively

If segments a to g are considered as functions of P1 and P2, then which of the following is correct?

##### Answer : (B) g = P1 + P2,d = c + e

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