Reference no: EM131502673

Assignment

1- A majority circuit is a combinational logic circuit whose output is a "1" if the input variables have more l's than 0's. The output is "0" otherwise. Design a 4-input majority circuit and implement it using NAND gates.

2- A combinational circuit is defined by the following Boolean function:

F (A, B, C, D) = ∑ (0, 1, 3, 4, 8, 9)

Implement the circuit by using an 8x1 multiplexer.

3- Design a synchronous counter with the following repeated binary sequence: 0, 1, 2, 3, 4, 5, 6, 7, 9. Use T flip-flops. Check to ensure that the circuit is self-correcting.

4- A sequential circuit has 3 flip flops A, B, C,-one input, X, and one output, Y.

The required state diagram is shown in Figure 1.

Use D flip flops to design this circuit and check to determine the effects of the unused states.