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Two products are sold from a vending machine, which has two push buttons 
and 
. 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 is pressed, ‘2’ is displayed, signifying ‘Rs. 2’.
If only is pressed, ‘5’ is displayed, signifying ‘Rs. 5’.
If both and 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
What are the minimum numbers of NOT gates and 2-input OR gates required to design the logic of the driver for this 7-segment display?
3 NOT and 4 OR
2 NOT and 4 OR
1 NOT and 3 OR
2 NOT and 3 OR
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