1. Draw the truth tables for the following Boolean function. f=a+b(cb+-) 2. Simplify the following Boolean expressions using the identities given to you. a+b-(ceb) 3. Use K-maps to simplify the following Boolean functions. f=ac+abc+abc+abc a) 4. For the following function: a) Draw the truth table for the function h. b) Show the Karnaugh-map for h. c) Give the simplified equation for h, derived from the K-map d) If possible, further simplify your answer to Part c using algebraic manipulation. e) Draw the circuit schematic for the simplified circuit 5. You are to design a divider circuit. Your circuit takes in a 3-bit number, x, and outputs a 2-bit number p. The output pis defined as p=1x13] . Show your truth table, K-maps, simplified equations, and circuit diagram