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?
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: where is the number of input variables.
3. Analysis and Detail
In this case, we have:
- (the number of inputs)
Now, applying the formula:
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.
Similar Questions
What determines the output from the combinational logic circuit in Digital Electronics?
When designing a combinational circuit, why is it essential to minimize the number of logic gates used?
obtain the truth table of xy+y'z+x'y'+x'z and then implement the function using logic gates
The combination of which two gates can be used to implement any logic function? Choose the most appropriate answer.
Number of rows appear in the truth table for this compound proposition (p ∧ r ∧ s) ∨ (r ∧ ¬ t) equal 8.Group startsTrue or FalseTrue, unselectedFalse
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.