A majority function will be 1 if the input variables have more than 1s than 0s. The output is 0 otherwise. Design a three inputs majority function.

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1. A majority function will be 1 if the input variables have more I's than O's. The 2. A parity function will be 1 if the number of Is in the bit pattern is odd. The output 3. Let X-X3X2X1X0 and Y-Y3Y2Y1 YO be 4-bit binary numbers. Complete the output is 0 otherwise. Design a three inputs majority function (5 points). is 0 otherwise. Design a 3-bit parity function (5 points). following logic diagram that uses a half adder and three full adders to perform the 4-bit binary addition S -X+Y-S3S2S1S0. (5 points) C3 S3 C2 S2 CI SI FA FA FA X3 Y3 Z3 X2 Y2 Z3 X1 Y1 Z1 XO YO 4. Create the state table and draw the state diagram for: (15 points) a. T flip-flop b. D flip-flop c. JK flip-flop Use D flip-flop to design a clocked 2-bit state machine that goes through the states 00, 11, 10, 01 when the external input x-1; and the states of the circuit remain unchanged when the x-0. (20 points) 5. a. b. c. d. Draw the state diagram Draw the state table. Simplify the Boolean functions regarding the D input of the flip-flop. Draw the circuit