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Math Help - Multiplexer question

  1. #1
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    Multiplexer question

    In a practice test I am doing, I have this problem -

    "This problem requires you to design and implement the following system.
    When the sum of the inputs, C0, X0, X1, is more than 1 C=1. S= exclusive
    OR of inputs C0, X0, X1. Draw a truth table that implements each of the output functions C and S using the inputs C0, X0, and X1."

    "When the sum of the inputs, C0, X0, X1, is more than 1 C=1"
    Does this mean that C will be true for 6 out of the eight values??

    "S= exclusive OR of inputs C0, X0, X1."
    And this one will also have 6 true values?

    Is that all there is to this? I feel like I am missing something important.
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  2. #2
    MHF Contributor
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    Hello SterlingM

    Welcome to Math Help Forum!
    Quote Originally Posted by SterlingM View Post
    In a practice test I am doing, I have this problem -

    "This problem requires you to design and implement the following system.
    When the sum of the inputs, C0, X0, X1, is more than 1 C=1. S= exclusive
    OR of inputs C0, X0, X1. Draw a truth table that implements each of the output functions C and S using the inputs C0, X0, and X1."

    "When the sum of the inputs, C0, X0, X1, is more than 1 C=1"
    Does this mean that C will be true for 6 out of the eight values??
    No. C is true (value = 1) for just 4 values: when the sum of all three inputs is more than 1. See the attached truth table.

    "S= exclusive OR of inputs C0, X0, X1."
    And this one will also have 6 true values?
    No. S is also true for just 4 values.

    In the truth table, I've put in an extra column to show the value of C_0 XOR X_0, before XOR-ing this with X_1 to give the final value of S.

    Grandad
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