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Question 45

For the given logic circuit, which of the following inputs combination will make both LED-1 and LED-2 to glow?

image

Let’s decode the circuit step-by-step.

step 1: identify gates

• first gate (A, B) → OR gate
→ output = A + B

This output goes to:
• LED-1
• one input of next gate

step 2: second gate

inputs:
• (A + B)
• C

this is an AND gate

so output = (A + B) · C

step 3: final gate

inputs:
• A (direct wire from top)
• (A + B)C

this is AND

so final output:

= A · (A + B) · C

but:

A · (A + B) = A

so:

final output = A · C

step 4: LED conditions

LED-1 glows when:
A + B = 1

LED-2 glows when:
A · C = 1

step 5: combine conditions

for both LEDs ON:

A · C = 1 ⇒ A = 1, C = 1

then A + B = 1 is already satisfied (since A = 1)

so B can be 0 or 1

final answer:
(A, B, C) = (1, 0, 1) or (1, 1, 1)

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