Assignment 1

In Class Problem 1 Design a system that accepts a 3 bit input and outputs the square of the input. SQ y0 y1 y2 y3 y4 y5 x2 x1 x0 y5 y4 y3 y2 y1 y0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 x2 x1 x0 y5 y4 y3 y2 y1 y0 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 x0 x1 x2 y0 = x0 y1 = 0 y2 = x2x1x0 + x2x1x0 FINISH THE DESIGN AS HOMEWORK DUE ON TBA. YOUR SUBMISSION SHOULD INCLUDE MINIMAL CIRCUITS.

In Class Problem 2: Clock Design Design a two bit down counter. Count when s=1, otherwise maintain state. S = 0 11 S = 1 00 10 01

1 x J0 JK State Table J0=Q1s JK Excitation Table Output Transitions Q0Q1 00 01 11 10 0 1 J K Qt 1 Qt-1 Output Transitions Qt-1 Qt Input J K 0 0 0 X 0 1 1 X 1 0 X 1 1 1 X 0 1 x Problem Excitation Table Present State Q0 Q1 Next State Q0 Q1 Input s Flip Flop Inputs J0 K0 J1 K1 0 0 0 X 1 1 1 1 X 1 X 0 1 X 0 X 1 1 0 1 X X 0 X 1 Q0 Q1 J0 K0 J1 K1 Complete the design for homework