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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

1. Break Down the Problem

To determine how many rows are needed in a complete truth table for a combinational logic function, we need to consider the number of inputs.

2. Relevant Concepts

The number of rows in a truth table can be calculated using the formula: Number of Rows=2n \text{Number of Rows} = 2^{n} where n n is the number of input variables.

3. Analysis and Detail

In this case, we have:

  • n=5 n = 5 (the number of inputs)

Now, applying the formula: Number of Rows=25=32 \text{Number of Rows} = 2^{5} = 32

4. Verify and Summarize

The calculation indicates that with 5 inputs, the complete truth table will have 32 rows. Each unique combination of input values will correspond to a row in the truth table.

Final Answer

The complete truth table will require 32 rows.

This problem has been solved

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