Tugas 4

Quiz Aljabar Boolean
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1.Give the relationship that represents the dual of the Boolean property A + 1=1?
(Note: * = AND, + = OR and ' = NOT)
1.A * 1 = 1
2.A * 0 = 0
3.A + 0 = 0
4.A * A = A
5.A * 1 = 1
Answer : A * 0 = 0

2.Give the best definition of a literal?
1.A Boolean variable
2.The complement of a Boolean variable
3.1 or 2
4.A Boolean variable interpreted literally
5.The actual understanding of a Boolean variable
Answer : The complement of a Boolean variable

3.Simplify the Boolean expression (A+B+C)(D+E)' + (A+B+C)(D+E) and choose the best answer.
1.A + B + C
2.D + E
3.A'B'C'
4.D'E'
5.None of the above
Answer : A + B + C

4.Which of the following relationships represents the dual of the Boolean property x + x'y = x + y?
1. x'(x + y') = x'y'
2. x(x'y) = xy
3. x*x' + y = xy
4. x'(xy') = x'y'
5. x(x' + y) = xy
Answer : x'(x + y') = x'y'

5.Given the function F(X,Y,Z) = XZ + Z(X'+ XY), the equivalent most simplified Boolean representation for F is:
1. Z + YZ
2. Z + XYZ
3. XZ
4. X + YZ
5. None of the above
Answer : Z + XYZ

6.Which of the following Boolean functions is algebraically complete?
1. F = xy
2. F = x + y
3. F = x'
4. F = xy + yz
5. F = x + y'
Answer : F = xy

7.Simplification of the Boolean expression (A + B)'(C + D + E)' + (A + B)' yields which of the following results?
1. A + B
2. A'B'
3. C + D + E
4. C'D'E'
5. A'B'C'D'E'
Answer : A'B'

8.Given that F = A'B'+ C'+ D'+ E', which of the following represent the only correct expression for F'?
1. F'= A+B+C+D+E
2. F'= ABCDE
3. F'= AB(C+D+E)
4. F'= AB+C'+D'+E'
5. F'= (A+B)CDE
Answer : F'= (A+B)CDE

9.An equivalent representation for the Boolean expression A' + 1 is
1. A
2. A'
3. 1
4. 0
Answer : 1

10.Simplification of the Boolean expression AB + ABC + ABCD + ABCDE + ABCDEF yields which of the following results?
1. ABCDEF
2. AB
3. AB + CD + EF
4. A + B + C + D + E + F
5. A + B(C+D(E+F))
Answer : AB