A. Provide a truth table for the following Boolean equation B. Construct a circuit for the Boolean equation in the previous problem. Do not reduce the equation. The circuit should

follow the equation. Only fundamental gates (AND, OR, NOT should be used) C. Prove the following theorem.x(y+z)=xy+ XZ D. Provide a Boolean equation for the circuit below. Do not reduce the equation. The equation should follow the circuit. E. Determine whether the LED is on or off for each combination of switch states F. Prove the following theorem. x(y+z)=x y+x z