Question #2 and #3 please

1) Convert the following number to binary: a. 198 b. 134.5 c. 67.2657 2) Using 10 bits 2's complements calculate. Comment on the results. 198-134.5 b. 134.5-67.2657 c. 492+250 3) Present the numbers in question 1 in 16 bits scientific floating-point notation. a. d. -8-510 a. b. p V 9 4) Represent the following numbers in IEEE 754 single precision floating point. -5.21875 b. 23.25x2-12 c. 8.375x2-135 d. 56452.5 e. 2.5x230 4.5x234 5) Suppose that p and q are statements so that pq is false. Find the truth values of each of the following: a P 4 C. 4*P 6) a. If the Truth value of ( pr)+(9r) is True and the truth value of pis True and r is False, what is the Truth value of q. b. Draw the truth table and support your answer. 7) Determine whether the following statements are logically equivalent: a. p(q--r) and (9) b. p(q) and p(q1r) c. (p-1)V(9-r) and (p/q- 8) Show that (p-1)-(1-1) and (p-+r) (9) are not logically equivalent. 9) Prove that the converse and inverse of a conditional statement are logically equivalent to each other. a. Using Truth table b. Using logical equivalent 10) In the following statements define the prepositions and write them in the symbolic form. (Assume that all variables represent fixed quantities or entities, as appropriate.) Convert for TO EN Type here to search 1) Convert the following number to binary: a. 198 b. 134.5 c. 67.2657 2) Using 10 bits 2's complements calculate. Comment on the results. 198-134.5 b. 134.5-67.2657 c. 492+250 3) Present the numbers in question 1 in 16 bits scientific floating-point notation. a. d. -8-510 a. b. p V 9 4) Represent the following numbers in IEEE 754 single precision floating point. -5.21875 b. 23.25x2-12 c. 8.375x2-135 d. 56452.5 e. 2.5x230 4.5x234 5) Suppose that p and q are statements so that pq is false. Find the truth values of each of the following: a P 4 C. 4*P 6) a. If the Truth value of ( pr)+(9r) is True and the truth value of pis True and r is False, what is the Truth value of q. b. Draw the truth table and support your answer. 7) Determine whether the following statements are logically equivalent: a. p(q--r) and (9) b. p(q) and p(q1r) c. (p-1)V(9-r) and (p/q- 8) Show that (p-1)-(1-1) and (p-+r) (9) are not logically equivalent. 9) Prove that the converse and inverse of a conditional statement are logically equivalent to each other. a. Using Truth table b. Using logical equivalent 10) In the following statements define the prepositions and write them in the symbolic form. (Assume that all variables represent fixed quantities or entities, as appropriate.) Convert for TO EN Type here to search