EE254 TEST 1 SAMPLE 1. The combinational logic circuit below is used in the warp drive of a Star Ship.Write the expression for F and then use Demorgan’s Law to express F so that theinversion sign does not cross an AND or an OR operator. Show all work. 2. Given the Truth Table below with the K-map to the right. Fill in the K-map and write the minimum expression for F and draw the logic diagram using AND’S , OR’S, and NOT’S.A B C F0 0 0 1 BC0 0 1 1 00 01 11 100 1 0 0 A 00 1 1 0 11 0 0 01 0 1 11 1 0 11 1 1 03. Given the Truth Table below with the K-map to the right. Fill in the K-map, writethe minimum expression for F and draw the logic diagram using only 2-input NAND gates.A B C F0 0 0 1 BC0 0 1 1 00 01 11 100 1 0 0 A 00 1 1 0 11 0 0 11 0 1 11 1 0 01 1 1 04. Convert each of the following numbers to the base indicated by the subscript.A) 24.7510 = ___________________ 2 B) 0.1112 = ____________________10C) 7738 = ___________________ 2 D) 0F9F16 = ___________________ 2 5. A logic circuit that has two single bit inputs and two single bit outputs is shown below: Draw the combinational logic diagram so that X = 1 if and only if A0 is less than B0 (1 is greater than 0) and Y = 1 if and only if A0 is not B0.6. Given the logic circuit below: What is the state of F when the 2 bit number B1 B0 is equal to the 2 bit number A1 A0 Construct a truth table to prove you are right.7. Minimize the logic and draw a circuit diagram for the function described by the K-map below. Use only 2-input NAND gates. X is a don't care.CDf 00 01 11 1000011XAB 01 1 X X X11 0 X 0 X10 0 1 1 08. Draw a circuit diagram for a two input NAND function constructed with only NOR