Question
You are given a truth table with 5 inputs and 1 output. How many Karnaugh Map cells are needed to deine it?
Answers
GPT-4o mini
A Karnaugh Map (K-map) is a visual representation of a truth table used to simplify Boolean functions. The number of cells in a K-map is determined by the number of input variables.
For a K-map with \( n \) input variables, the number of cells required is given by \( 2^n \).
Since you have 5 inputs (\( n = 5 \)), the number of cells needed would be:
\[
2^5 = 32
\]
Therefore, you will need **32 cells** in the Karnaugh Map to define the truth table with 5 inputs.
For a K-map with \( n \) input variables, the number of cells required is given by \( 2^n \).
Since you have 5 inputs (\( n = 5 \)), the number of cells needed would be:
\[
2^5 = 32
\]
Therefore, you will need **32 cells** in the Karnaugh Map to define the truth table with 5 inputs.