You are going to design a circuit that takes 4 input bits N = N3 N2...

 

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You are going to design a circuit that takes 4 input bits N = N3 N2 N₁ No and generates output for displaying the hexadecimal value of N on a 7-segment display. The display of the 16 values are shown in the following figure. 01234567 89ABCDEF The segments on a 7-segment display are named the usual way, i.e., segment a is the top segment, and going clockwise, the peripheral segments are named b to f, and the middle segment is segment g. (a) Draw the truth table of the circuit. (6 marks) (b) The segments on the 7-segment display turns out to light up when logic level 0 is supplied. Using Karnaugh maps, find the equations of the negations of a to g (i.e, a to g). (14 marks) You are going to design a circuit that takes 4 input bits N = N3 N2 N₁ No and generates output for displaying the hexadecimal value of N on a 7-segment display. The display of the 16 values are shown in the following figure. 01234567 89ABCDEF The segments on a 7-segment display are named the usual way, i.e., segment a is the top segment, and going clockwise, the peripheral segments are named b to f, and the middle segment is segment g. (a) Draw the truth table of the circuit. (6 marks) (b) The segments on the 7-segment display turns out to light up when logic level 0 is supplied. Using Karnaugh maps, find the equations of the negations of a to g (i.e, a to g). (14 marks)

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a Truth table of the circuit Explanation To create the truth table I followed these steps 1 Identify the logic gates The circuit is a cascade of 4 BCD to 7segment decoders each consisting of various l... View the full answer