Question

Which of the following gates will give an output '1' for the given inputs?

• A. II and III
• B. I and IV
• C. I and III
• D. II and IV

Hint:

Remember the unique identifying properties for quick filter checks: a NOR gate is the only gate that outputs '1' when all inputs are completely low ('0'). An XOR gate outputs '1' whenever the input pair is unmatched. This lets you select option (D) rapidly!

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
Evaluate which logic gate configurations produce a high output '1' for given binary inputs.

Step 2: Key Formula or Approach:
Apply truth tables: NAND(1,1)=0; NOR(0,0)=1; AND(0,1)=0; XOR(1,0)=1.

Step 3: Detailed Explanation:
Gate I (NAND with 1,1) → 0. Gate II (NOR with 0,0) → 1. Gate III (AND with 0,1) → 0. Gate IV (XOR with 1,0) → 1. Configurations II and IV output '1'.

Step 4: Final Answer:
Output '1' occurs in II and IV, matching option (D).