5) Let U = { x. y.Z, w, 1, 2, 3, 4, 5),As(x, y, 1, 3, 5}, B = { y, z, 2,4) and C
ID: 3148887 • Letter: 5
Question
5) Let U = { x. y.Z, w, 1, 2, 3, 4, 5),As(x, y, 1, 3, 5}, B = { y, z, 2,4) and C = { z, w, 4 Then find the following sets. a) Anc e) An Bnc h) Determine if (AuC) b) AuB c) A (AnB) u (AnC) BnC is true or false. g) (AuC) 6) Convert the following numbers in the specified base. a) 67 to base 2 b) 243 to base 5 c) 182 to base 12 7) Convert the following numbers to base 10. a) (110101) b) (132)s c) (189)12 8) Perform the following operations in base 2 and check the answer by converting into base 10. a) 1010112 b) 101012 c) 1012 11012 11102 X 112Explanation / Answer
5)
5 a) A and C = phi
b) A or B = {x,y,1,3,5,z, 2,4}
c) A' = {z,w,2,4}
d)B' and C = {w}
e) A and B and C = phi
f) (A and B) or (A and C) = {y}
g) (A or C)' = {2}
6)
a)1000011
b) 1433
c) 132
7)a) 53
b)42
c)249
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