What are the simplest expression for K-map shown in given table given below ? C’CA’B’00A’B11AB11AB’01
Question
What are the simplest expression for K-map shown in given table given below ?
C’CA’B’00A’B11AB11AB’01
Solution
To simplify the expression given in the K-map format, let's analyze the provided data using the steps outlined:
1. Break Down the Problem
First, we identify the minterms specified in the provided K-map. The given K-map representation seems to indicate specific values for combinations of variables A, B, and C.
2. Relevant Concepts
For the K-map simplification, we consider how to group the minterms together to find the simplest Boolean expression. The variables are usually arranged as follows:
- A and B along the axes
- C as the additional variable impacting minterms
3. Analysis and Detail
Let's interpret the K-map based on the input provided, which indicates binary values for minterms. The values "C’CA’B’00A’B11AB11AB’01" seem to indicate positions leading to combinations of A, B, and C resulting in either a 1 (true) or 0 (false).
Assume the K-map positioning:
- A and B are x-axis and y-axis respectively
- C affects the filling of the K-map cells
Rows can be labeled:
- Row 1 (C=0): A’B’, A’B, AB, AB’
- Row 2 (C=1): A’B’, A’B, AB, AB’
From the provided expression:
- Find out which combinations yield a '1'
- Group them in pairs, quads, or octets to simplify
4. Verify and Summarize
Once we identify and group them effectively, we will combine the minterms where possible using the Consensus theorem, Absorption law, and other simplification rules.
Final Answer
Without precise minterm indication, the general process to find the simplest Boolean expression usually results in a minimized format such as:
Please ensure you verify specific minterms and results from grouping. The expressiveness will depend on precise binary values and correct positioning in the K-map. Further adjustments may be necessary based on filling of each cell in the K-map you have.
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