In which of the logic gate the following statement is true? "The output is high when either of the inputs is high but not if both inputs are high"

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The given statement states that the output is high ( $1$ ) when either of the inputs is high ( $1$ ), but the output is low ( $0$ ) if both inputs are high ( $1$ ).

This corresponds to the following truth table:
$A = 0, B = 0 \Rightarrow Y = 0$
$A = 1, B = 0 \Rightarrow Y = 1$
$A = 0, B = 1 \Rightarrow Y = 1$
$A = 1, B = 1 \Rightarrow Y = 0$

This is the characteristic truth table of an Exclusive-OR (X-OR) gate.

Answer: X-OR

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