Please write a truth table and derive the expression for a b c d e f and g using four variable k map. Please develop a k map and digital circuit/boolean gate.

a) Write the truth table and derive the expression for a,b,c,d,e,f, and g using four variable K-map. b) Design a digital circuit in Quartus II that will satisfy the truth table you derived in (a). In this Lab you are to design a BCD to Seven-segment display driver circuit that will take BCD number as input and display the corresponding decimal value of BCD input on a Seven-segment display, as shown in Figure 1. For undesired inputs (i.e. inputs from 1010 to 1111) the circuit will display U on the Seven-segment display. Each of the seven segments is labeled a through g. The numbers 0 through 9 light up the segments shown in Figure 2. For example, the number 0 lights up all but the middle segment, segment g. There are two types of 7 -segment display available in the market. One is common anode and the other is common cathode. In DE2-115 board, the manufacturer used the common anode type display. To turn on a common anode display segment, you have to provide a low signal ( (0). For example, to turn on segment a, you have to provide a low signal (0) to the corresponding pin of segment a. Figure 1. Seven-segment display Figure 2. Seven-segment display Function To design your seven-segment display decoder, you will first write the truth table specifying the output values for each input combination. For example, when the input is ABCD=0000, the outputs are abedefg 0000001 and when the input is ABCD=1010 (undesired input), the outputs are abcdefg =1000001 (display U)