DEDE WAHYUDI 0901081023 TEKNIK KOMPUTER 2 A POLITEKNIKNEGERI PADANG

Tugas 4 Sistem Digital

Tugas 4
A. Hukum Aljabar
T1. Hukum Komutatif
T2. Hukum Asosiatif

T3. Hukum Distributif
T4. Hukum Identity
T5.
T6. Hukum Redudansi
T7.
T8.
T9.
T10.
T11. Theorema de Morgan's

B.
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 (Jawaban)
  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 Component of a Boolean variable (Jawaban)
  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 ( Jawaban )
  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' (Jawaban)
  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 (Jawaban)
  3. XZ
  4. X + YZ
  5. None of the above

6. Which of the following Boolean functions is algebraically complete?
  1. F = xy (Jawaban)
  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' (Jawaban)
  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(Jawaban)

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

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



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