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A Truth Table Shows, for the Various True or False

question 4

Essay

A truth table shows, for the various true or false values of boolean variables, what the result of a boolean condition is. Fill in the following truth table. Assume that a, b and c are boolean variables.
 a bc!(a && b)  !(a && c) false  false  false  false  false  true  false  true  false  false  true  true  true  false  false  true  false  true  true  true  false  true  true  true \begin{array}{lll}\text { a } & b & c &!(a ~\&\&~ b)~||~!(a ~\&\&~ c)\\\text { false } & \text { false } & \text { false } \\\text { false } & \text { false } & \text { true } \\\text { false } & \text { true } & \text { false } \\\text { false } & \text { true } & \text { true } \\\text { true } & \text { false } & \text { false } \\\text { true } & \text { false } & \text { true } \\\text { true } & \text { true } & \text { false } \\\text { true } & \text { true } & \text { true }\end{array}


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