Question

1. How many rows must a truth table have in order to describe a 4- input AND gate? Which input will make the output HIGH?

2. Which output is the unique one in a 3-input OR gate?

Answer 1

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1)

since it is a 4 input gate each input can take either value of 0 or 1

so the first bit can take value 0 or 1

so the 2nd bit can take value 0 or 1

so the 3rd bit can take value 0 or 1

so the 4th bit can take value 0 or 1

to total possibilities are = 2*2*2*2 = 16 values are possible

so there will be 16 rows in the truth table

the only input which gives high is only when all the inputs are high(1)

2) in a 3 input or gate if any of the 3 inputs are high(1) then the value will be high(1) the only case in which the input will be low(0) is when all the inputs are low(0)