Digital Electronics NAT Level - 2 - Free MCQ Test with solutions for Physics

Hence, minimum number of NAND gates required to implement
 is zero.
The correct answer is: 0

The correct answer is: 0

The above figure behaves as a NAND gate, hence for  and output = 0
The correct answer is: 0

The correct answer is: 1

The truth table for the above circuit is.

Hence, for X = 1, Y = 0, output = 1
The correct answer is: 1 

Hence one two input AND gate is required.
∴ Minimum number of gate = 1.
The correct answer is: 1

The correct answer is: 1

The correct answer is: 5

Before gate Number 2 being remove, output

⇒ gate number 2 is redundant.
The correct answer is: 2

Solution:

• Step 1: Simplify the first part:
  • (x AND y):
  • x = 1, y = 0 → (x AND y) = 1 AND 0 = 0.
  • (z AND NOT x):
  • z = 1, NOT x = 0 → (z AND NOT x) = 1 AND 0 = 0.
  • (x AND y) OR (z AND NOT x):
  • 0 OR 0 = 0.
• Step 2: Simplify the second part:
  • (x XOR z):
  • x = 1, z = 1 → (x XOR z) = 0 (since XOR is true only if inputs are different).
  • NOT (x XOR z) = NOT 0 = 1.
• Step 3: Combine both parts:
  • f = [(x AND y) OR (z AND NOT x)] AND [NOT (x XOR z)]
  • f = 0 AND 1 = 0.

Final Answer:

The value of f is 0.