ASDN Laborator 1 [PDF]

Zitiervorschau

Universitatea Tehnică a Moldovei

RAPORT Tema: Sinteza circuitelor logice combinaţionale Var. 17

A efectuat

Druța Mihai

st. gr. FI-161

A verificat

Oșovschi M.

Chișinău 2017

y1 = V (0, 3, 4, 5, 7, 8, 12, 13, 14) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

X1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1

X2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1

X3 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1

X4 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1

Y1 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0

Diagrama Karnaugh:

00

00

01

11

10

1

1

1

1

1

1

01 11 10

1

1 1

FDN ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅ ∗ ̅̅̅ ̅̅̅ y1 = 𝑥2 ̅̅̅ 𝑥3 + ̅̅̅ 𝑥3 ̅̅̅ 𝑥4 + ̅̅̅̅ 𝑥1 𝑥3 𝑥4 + 𝑥1 𝑥2 ̅̅̅ 𝑥4 = 𝑥2𝑥3 𝑥3 𝑥4 ∗ ̅̅̅ 𝑥1 𝑥3 𝑥4 ∗ 𝑥1 𝑥2 ̅̅̅ 𝑥4

0 x2 x3

0 4 8 C

1 5 9 D

2 6 A E

3 7 B F

x1

y1

x4

Diagrama temporală

Diagrama Karnaugh: 00

01

11

10

00 01

0

0

11 10

0 0

0

0 0

FCN ̅̅̅ + 𝑥4) ∗ (𝑥1 ̅̅̅ + 𝑥3 ̅̅̅ + 𝑥4 ̅̅̅ + 𝑥2 + 𝑥3 ̅̅̅) = ̅̅̅) ∗ (𝑥1 + 𝑥3 ̅̅̅) ∗ (𝑥1 y1 = (𝑥2 + 𝑥3 + 𝑥4 ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅ + ̅̅̅ ̅̅̅ + 𝑥2 + ̅̅̅ = (𝑥2 + 𝑥3 + ̅̅̅ 𝑥4) + (𝑥1 + ̅̅̅ 𝑥3 + 𝑥4) + (𝑥1 𝑥3 + ̅̅̅ 𝑥4) + (𝑥1 𝑥3)

0 4 8 C

1 5 9 D

2 6 A E

x2 x3

3 7 B F x4

1

1 0

Diagrama temporală

y2 = V (2, 4, 5, 6, 8, 10, 11, 15) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

X1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1

X2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1

X3 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1

X4 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1

Y1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1

Diagrama Karnaugh: 00

01

00

1

01

1

11 10

11

1

1 1

1

10

1 1

FDN ̅̅̅ 𝑥2 𝑥3 ̅̅̅ + 𝑥1 ̅̅̅ 𝑥3 𝑥4 ̅̅̅ 𝑥4 ̅̅̅ + 𝑥1 𝑥3 𝑥4 + 𝑥1 𝑥2 ̅̅̅ = 𝑦2 = 𝑥1 ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅ = ̅̅̅ 𝑥1 𝑥2 ̅̅̅ 𝑥3 ∗ ̅̅̅ 𝑥1 𝑥3 ̅̅̅ 𝑥4 ∗ 𝑥1 𝑥3 𝑥4 ∗ 𝑥1 𝑥2 ̅̅̅ 𝑥4

x2 0 4 8 C

1 5 9 D

2 6 A E

3 7 B F

x1 x3

1

x4

Diagrama temporală

Diagrama Karnaugh: 00

01

11

00

0

0

01

0

0

11

0

10

0 0

10

0

FCN ̅̅̅ + 𝑥4 ̅̅̅ + 𝑥3 + 𝑥4 ̅̅̅ + 𝑥2 ̅̅̅ + 𝑥4) ̅̅̅) ∗ (𝑥1 ̅̅̅) ∗ (𝑥1 𝑦2 = (𝑥1 + 𝑥2 + 𝑥3) ∗ (𝑥1 + 𝑥3 ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅ ̅̅̅ + 𝑥3 + ̅̅̅ ̅̅̅ + ̅̅̅ 𝑦2 = (𝑥1 + 𝑥2 + 𝑥3) + (𝑥1 + ̅̅̅ 𝑥3 + ̅̅̅ 𝑥4) + (𝑥1 𝑥4) + (𝑥1 𝑥2 + 𝑥4)

0 4 8 C

1 5 9 D

2 6 A E

x1 x2 x3

3 7 B F

0

1 0 x4

Diagrama temporală

Concluzie: Efectuînd această lucrare de laborator am minimazat funcțiile y1 și y2 utilizînd diagrama Karnaugh. Am făcut cunoștință cu domeniul de lucru LogicWorks și am construit schemele logice pentru FDN și FCN a funcțiilor y1 și y2.