a) Design a circuit that meets the following specifications. The circuit has two 2-bit inputs X=X1X0 and Y=y1y0 and one 4-bit output F=f3f2f1f0. The output is equal to X/Y (e.g. when X=10 and Y=01 then F=2/1 = 1000), where f3f2 represent the quotient and f1f0 represent the remainder. Use K-map to design the minimum cost sop expression for the output. Calculate the cost of all output functions, f3f2f1f0. The schematic design must be done using any CAD tool.
b) Validate your design by showing the waveform or timing diagram that reflects the outputs in terms of variant inputs.