Karnaugh Map Cell Count Grid Size Resolver
Return the cell count and balanced row and column dimensions of a binary Karnaugh map for up to 52 variables.
Description
A Karnaugh map organizes one cell per binary assignment.
A Karnaugh map organizes one cell per binary assignment. Splitting the variables as evenly as possible yields a conventional balanced rectangular grid.1
The tool returns cellCount, rowCount, columnCount, rowVariables, columnVariables. Interpret the result under the rule and assumptions below; an encoded premise’s truth is not independently established.
When to use Karnaugh Map Cell Count Grid Size Resolver
Use this for the following task: Return the cell count and balanced row and column dimensions of a binary Karnaugh map for up to 52 variables. Prepare the specified logical encoding before running the check or transformation.
How to use Karnaugh Map Cell Count Grid Size Resolver and understand its results
- Prepare the requested Boolean values, complete truth-table rows, or identifier atoms. An atom is a name such as p or premise_1, not a natural-language sentence.
- Enter variableCount according to the field table, then run the tool.
- Read cellCount, rowCount, columnCount, rowVariables, columnVariables. Use the matching rule, assignment order or nonempty-class assumptions below to interpret the result.
- For a false check, inspect the supplied encoding and matching rule. A well-formed false result is different from an input error.
| Input field | Meaning | Value type and bounds | Requirement |
|---|---|---|---|
| variableCount | Variable count | integer; minimum 0; maximum 52 | Required |
Supply 0..52 variables. Calculate the two variable-group sizes and return their power-of-two dimensions and total cell count.
cells=2^n; rows=2^floor(n/2); columns=2^ceil(n/2) The symbols and boundary conditions refer to the supplied fields and the implementation described above.
| Output field | Meaning | Value type |
|---|---|---|
| cellCount | Map cell count | integer |
| rowCount | Row count | integer |
| columnCount | Column count | integer |
| rowVariables | Row variable count | integer |
| columnVariables | Column variable count | integer |
{
"input": {
"variableCount": 3
},
"output": {
"cellCount": 8,
"rowCount": 2,
"columnCount": 4,
"rowVariables": 1,
"columnVariables": 2
}
}Limitations and assumptions
Zero variables yield a 1×1 grid. No cells, Gray-code labels, physical layout or prime implicant groups are generated.
The supplied encodings must represent the intended propositions or classes. No natural-language parsing or assessment of empirical premise truth is performed. Malformed input gives a tool error rather than a logical false result.
Alternative or Complementary methods
Choose Truth Table Row Count 2^n Calculator when you need its operation: Return the exact number of rows in a truth table with zero through 10,000 propositional variables. Choose Prime Implicant Pair Adjacency Edge Counter for the complementary operation: Count adjacency edges among supplied binary minterm indices differing in exactly one bit.
Background reference: Complete truth tables.
References
-
Complete truth tables — forallx Calgary, Open Logic Project
Similar or alternative tools
- Truth Table Row Count 2^n Calculator
Return the exact number of rows in a truth table with zero through 10,000 propositional variables.
- Prime Implicant Pair Adjacency Edge Counter
Count adjacency edges among supplied binary minterm indices differing in exactly one bit.