quist gerbang logika

 

soal nomor 1

tabel kebenaran

U1 = A AND B

1. $$U1 = A \cdot B$$

2. U2 = C AND D

   $$U2 = C \cdot D$$

3. U3 = U1 OR U2

   $$U3 = (A \cdot B) + (C \cdot D)$$

Jadi, persamaan logika untuk U3 adalah:

$$U3 = (A \cdot B) + (C \cdot D)$$

soal nomor 2

1. X = A AND B

   $$X = A \cdot B$$

2. Y = A AND C

   $$Y = A \cdot C$$

3. Z = B AND D

   $$Z = B \cdot D$$

4. W = X OR Y

   $$W = (A \cdot B) + (A \cdot C)$$

5. Output = NOT (W OR Z)

   $$Output = \neg [(A \cdot B) + (A \cdot C) + (B \cdot D)]$$

Jadi, persamaan logika untuk Output adalah:

$$Output = \neg [(A \cdot B) + (A \cdot C) + (B \cdot D)]$$

soal nomor 3

tabel kebenaran

1. U9 = A OR B

   $$U9 = A + B$$

2. U10 = C OR D

   $$U10 = C + D$$

3. Output = U9 AND U10

   $$Output = (A + B) \cdot (C + D)$$

Jadi, persamaan logika akhirnya adalah:

$$(A + B) \cdot (C + D)$$