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Suppose a combinational logic function has 5 inputs and 2 outputs. How many rows are needed in a complete truth table?

Question

Suppose a combinational logic function has 5 inputs and 2 outputs. How many rows are needed in a complete truth table?

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Solution

A truth table for a combinational logic function is a table that lists all possible input combinations and their corresponding output values.

  1. The number of rows in a truth table is determined by the number of possible input combinations.

  2. For a binary system (like digital logic), each input can have 2 possible states: 0 or 1.

  3. If there are 5 inputs, then the number of possible combinations is 2^5.

  4. Therefore, a complete truth table for a combinational logic function with 5 inputs would need 32 rows.

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