1. Draw the logic circuit for the following logic equation. Write down it's truth table. Determine the number of gates and ICs required to build the circuit using basic logic gates. Convert the circuit to one using appropriate universal gates. Compare the number of gates. BONUS: Reduce the equation using Boolean algebra. Draw the circuit diagram of the reduced equation. Compare the number of gates and ICs with the original version(using basic logic gates).

F = X'YM' + X'YZ'M + YX + YX'ZM

2. Determine the number of inputs and outputs for this listing of minterms. Use K-maps to determine the reduced equation. Write down the truth table. Draw the logic circuit. Determine the number of gates and ICs needed to build the circuit.

F = (0, 2, 4, 6, 8, 9, 10, 11, 12, 14)

3. The equation for ECG augmented voltage lead from the left arm, is given by

_aV_l = 2*ra+1

where ra is the digital, 2 bit representation of ECG voltage from the right arm.

a. How many inputs and outputs would you need for the combinational circuit?

b. Write the truth table

c. Implement using an MSI device of your choice.

4. Design a 2-bit binary counter using JK flip flops. Draw a neat state diagram, write the state table and draw a neat circuit diagram.

5. A patient in an ICU has the following vital signs being measured from her: ECG, Blood Pressure, Respiration and Temperature. These analog signals need to be directly connected to a device and displayed on a monitor with one display screen for 2 seconds per signal. Draw a neat diagram to show your circuit.

6. The equation for ECG augmented voltage lead from the left arm, is given by

_aV_l = 2*ra + || + 1

where ra and || are the digital, 2 bit representation of ECG voltage from the right arm and left leg, respectively.

a. How many inputs and outputs are there in your design?

b. Write the truth table for any two combinations of the inputs.