TUGAS 4 ALJABAR BOOLEAN DAN LATIHAN

TUGAS 4.B (LATIHAN)
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 (Jawabanya)
3. A + 0 = 0
4. A * A = A
5. A * 1 = 1


2. Give the best definition of a literal?
1. A Boolean variable
2. The complement of a Boolean variable (Jawabannya)
3. 1 or 2
4. A Boolean variable interpreted literally
5. The actual understanding 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 (Jawabannya)
2. D + E
3. A’B’C’
4. D’E’
5. None of the above


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


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 (Jawabannya)
3. XZ
4. X + YZ
5. None of the above


6. Which of the following Boolean functions is algebraically complete?
1. F = xy (Jawabannya)
2. F = x + y
3. F = x’
4. F = xy +yz
5. F = x + y’


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’ (Jawabannya)
3. C + D + E
4. C’D’E’
5. A’B’C’D’E’




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 (Jawabannya)


9. An equivalent representation for the Boolean expression A' + 1 is
1. A
2. A’
3. 1 (Jawabannya)
4. 0


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