Convert the decimal number (123.456)10 into the following indicated bases: (a) Binary number (b) Octal number (c) Hexadecimal number (1 Mark) Q2: Convert the decimal number 456 to binary in two ways: (1 Mark) (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Q3: Let X=1101101 and Y=1101001 be two binary numbers. Calculate X-Y and Y-X by using 1's & 2's complement method. (1 Mark) Q4: Represent the unsigned decimal numbers 789 and 456 in BCD, and then show the steps necessary to form their sum. Q5: Simplify the following Boolean expressions to a minimum number of literals: (i) xy+x(wz+w z') (ii) (BC' + A'D) (AB' + CD') (1 Mark) (2 Marks) Q6: List the truth table of a given function and draw the logic diagram. (1 Mark) F = x'y + xy' + y'z Q7: Find the complement of the following expression: F = (a + c) (a + b) (a+b+c) (2 Marks) Q8: By means of a timing diagram show the signals of the outputs f and g in below figure as functions of the two inputs a and b. Use all four possible combinations of a and b. D (1 Mark)