Determine the output V_out as a function of V_0,1,2,3. What function does it perform? Build the circuit and verify its function by connecting V_0,1,2,3 to a dc voltage, one at a time.

Use a 4 bit binary counter(74163) or an up/down counter(74169) outputs to drive V_0,1,2,3 in the circuit above. What waveform will you get? Build and verify. (To use 74169 as a synchronous counter: PE'=1, CEP'=0, CET'=0; P_0-3=0; CP: clock input; Outputs at Q_0-3; U/D'=1 for counting upwards and 0 for counting downwards).

Design a circuit to give the waveform above. You can use logic gates in addition to the counter.