Discrete mathematics, need help on 11,12,13

11) Find the sum and the product of each of these pairs of numbers. Express your answers as a binary expansion. a)a)(100 7111)," (1110111), b) (1110 1111) (1011 1101) c)(10 1010 1010) 111 0000) 12) Find the solutions of the congruence l 5x2 + 19x #5 (mod ) [Hint: Show the congruence is equivalent to the congruenceASx2419x?6:0(modi4 Factor the left-hand side of the congruence; show that a solution of the quadratic congruence is a solution of one of the two different linear congruences.) 13) What are the greatest common divisors of these S) NS integers? a)(3-5 -7 and2 35 (113-17) and (23 57 6) 7s c (41 43 53) and (41-43 11) Find the sum and the product of each of these pairs of numbers. Express your answers as a binary expansion. a)a)(100 7111)," (1110111), b) (1110 1111) (1011 1101) c)(10 1010 1010) 111 0000) 12) Find the solutions of the congruence l 5x2 + 19x #5 (mod ) [Hint: Show the congruence is equivalent to the congruenceASx2419x?6:0(modi4 Factor the left-hand side of the congruence; show that a solution of the quadratic congruence is a solution of one of the two different linear congruences.) 13) What are the greatest common divisors of these S) NS integers? a)(3-5 -7 and2 35 (113-17) and (23 57 6) 7s c (41 43 53) and (41-43