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If OR function of three binary variables X, Y, Z is False i.e. X + Y + Z =0 then

ID: 3665273 • Letter: I

Question

If OR function of three binary variables X, Y, Z is False i.e. X + Y + Z =0 then which one of the following statements is true?

a)Only one of the three binary variables X, Y, Z needs to be one (True) for the final OR function to be false

                               

b)All of the three binary variables X, Y, Z must be true for the final OR function to be false

                               

c)All of the three binary variables X, Y, Z must be false for the final OR function to be false

                               

d)None of the above

Explanation / Answer

If OR function of three binary variables X, Y, Z is False i.e. X + Y + Z =0 then which one of the following statements is true?

a)Only one of the three binary variables X, Y, Z needs to be one (True) for the final OR function to be false

                               

b)All of the three binary variables X, Y, Z must be true for the final OR function to be false

                               

c)All of the three binary variables X, Y, Z must be false for the final OR function to be false

                               

d)None of the above

Answer:

c)All of the three binary variables X, Y, Z must be false for the final OR function to be false

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