with explanation please

11) Given that X and Y are 3-bit binary numbers, i.e. X=X2X1X0 and Y=Y2Y1Y0, the arithmetic operation that the circuit below performs is: a) S=X2Y3 b) S=2YX+3 c) S=X2Y+3 d) S=X+2Y3 e) None of the given answers For questions 12 through 15, use the following circuit. To save your time, DO NOT BUILD the STATE TABLE or the STATE DIAGRAM. 12) When building the state table of the circuit shown, there are: a) 8 combinations and 16 state: b) 4 combinations and 4 states c) 8 combinations and 4 states d) 16 combinations and 8 state: e) None of the given answers. 6) In the circuit shown to the right, the priority of inputs are: Y3>Y2>Y1>Y0. Q(A,B,C,D)= a) m(5,15) b) m(0,15) c) m(0,5) d) m(10,15) e) None of the given answers 7) In the same circuit shown to the right, a) m(8,9,12,13,14) b) m(4,8,9,13,14,15) c) m(8,9,12,13,14,15) d) m(4,8,9,12,13,14,15) e) None of the given answers 8) In the circuit shown next, F(X,Y,Z)= a) F is at short circuit state all the times b) F is at open circuit state all the times c) XY+Y d) XY+YZ2 e) XY+(YZ) 9) It is intended to design a combinational circuit that receives ONLY digits 0 through 5 . The combinational circuit outputs the corresponding number on the shown seven-segment display. This combinational circuit has: a) Cannot be determined b) 6 inputs and 7 outputs c) 3 inputs and four outputs d) 4 inputs and 7 outputs e) 3 inputs and 7 outputs 10) In the previous question, the minterms of segment a are: a) m(0,2,3,5,6,7,8,9) b) m(0,2,3,5,6,7,8,9)+d(10,11,12,13,14,15) c) m(0,2,3,5)+d(6,7) d) m(0,2,3,5,6) e) None of the given answers