2 a) convert BCD number 10010010 to binary number. (10010010) BCD=( 12. (2 Marks) ) b) perform binary addition of two binary numbers 1011001 and 1011. (1011001)2 + (1011)2 = 12 (2 Marks) i) For the Boolean expression shown below, draw its logic diagram and show output of each logic gate. (2 Marks) F(X.7.2) = ((x + 2) + (X + 7) + (Y Z) )+(x + Y Z ii) Simplify the below given Boolean expression using Boolean algebra. (2 Marks) F(A,B,C,D) = (BC + D) + D + BC + AD Write the following for the full Adder. 1) Complete the Truth table for the full adder. (1 Mark) ii) Find the Logic expression for Sum and Carry out. (2 Marks) ii) Draw the equivalent logic diagram of output Sum and Carry out. (1 Mark) For the truth table given below. 1). Une K-map for simplification and obtain the simplified form of SOP. i). Draw the logic diagram for the simplified expression. (3 Maria) (1 Mark) Inputs B 0 D Output F 1 oloa 0 1 lolololo lol lol 1 1 1 Ix-X 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 ol 1 1 0 0 0 0 1 0 1 1 0 1 0 XOX 1 0 1 1 1 1 0 0 0 1 1 1 1 X 0 1 1 1 1 1 1 1 1 6) Draw the logic diagram and truth table of D flip flop. (2 Marks) ii) Complete the given timing diagram for positive edge D Flip Flop. Assume that the Q output is initially at logic zero. (2 Marks) Clk +