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30 November, 02:31

Construct a truth table for the logical operator NAND.

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  1. 30 November, 02:58
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    The output for NAND gate is false if all the inputs are true. it is true if either A or B is False.

    Step-by-step explanation:

    Step1

    NAND operator:

    NAND is a logic or Boolean expression and is a combination of NOT and AND Gate.

    NAND gate is built using various junction diodes and transistors.

    Step2

    The output of NAND can be 0 or 1. Here, LOW (0) and HIGH (1). 0 or 1 is commonly named as FALSE or TRUE respectively.

    It is basically the complement of AND gate. If all its inputs are True or 1, then the output is False or 0 else if either A or B is 0 or 1 then it will give the output as TRUE.

    Step3

    Here, A and B are 2 inputs used to make the truth table for NAND.

    In 1st row, when A and B are both 0, the output for NAND is 1.

    Likewise, in 2st row and 3rd row, when either A or B is 0 or 1, the output for NAND is 1 that is TRUE.

    But in last row, when both inputs A and B are true, then the output for NAND gate is FALSE or 0.

    The diagram and truth table for NAND is shown below.
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