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Derive the Boolean algebra expression for a logic network that will have outputs 0 only output when X = 1, Y =1, Z = 1; X = 0, Y = 0, Z = 0; X = 1, Y = 0, Z = 0. The outputs are to be 1 for all other cases.

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F = (X + Y + Z)(X’ + Y + Z)(X’ + Y’ +Z’

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