Logic algebra foundation Q1. Please use the truth table to prove the following formula: (1) (AOBOC=A0(BOC) (2) A(BOC)= ABO AC Q2. Write the dual and the complement expression of the function F F = C + AB. AB+D Q3. There are three input signals: A, B, C and a output signal: F. If the three input signals are inconsistent, F=1. Otherwise, F-0. Please list the truth table and write the logical expression. Q4. List the truth table of the following logical function Y, = ABCD+(BOC)D+ AD Q5. The timing diagram of logical function Y is shown in figure below. Please list the truth table and write the logical expression. inn O B O 0 Y High=1 Low=0 P 2.1 Q6. Please write the standard SOP expression of F, F and F F = AB + AB + BC