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