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Week 1: Introductory Boolean Logic

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Q1Describe the function of an XOR gate. Under what precise condition does an XOR gate produce a 1 output?

Q2A single logic gate outputs a 1 ONLY when both of its inputs are 0. What is the name of this logic gate?

Q3A warning siren (W) should sound (W = 1) if the master switch (A) is ON (1) AND the emergency lock (B) is NOT activated (0). Write the logic expression for the siren output (W).

Q4Write the single logic gate that is equivalent to a circuit made up of an AND gate followed immediately by a NOT gate.

Q5A circuit uses the expression X = (NOT A) OR B. If the inputs are A=1 and B=0, what is the final binary output X?

Q6A logic circuit is represented by the expression X = (A AND B) XOR C. If the inputs are A=1, B=0, and C=1, what is the final binary output X?

Q7A safety light (L) turns on (L=1) if Input P is 0 AND Input Q is 1, OR if Input P is 1 AND Input Q is 0. Write the full logic expression for L.

Q8The expression is X = NOT (A NAND B). If the inputs are A=0 and B=1, what is the resulting output X?