Karnaugh Map Solver — Minimise Boolean Expressions
Minimise 2–4 variable Boolean functions to simplest SOP with don’t-care support. Shows prime implicants.
| F | |
|---|---|
Click a cell in the F column to cycle 0 → 1 → X (don’t-care).
How to use
- 1 Choose how many variables your function has (2, 3 or 4).
- 2 Click each row’s F cell to set its output to 1, X (don’t-care) or 0.
- 3 The minimised sum-of-products expression updates instantly.
Why use this tool
- Minimises Boolean functions using the Quine–McCluskey method.
- Supports don’t-care conditions for tighter expressions.
- Shows the prime implicants behind the answer — runs in your browser.
Frequently asked questions
What does this solver produce?
A minimised sum-of-products (SOP) Boolean expression — the fewest terms and literals that reproduce your truth table.
How does it minimise?
It runs the Quine–McCluskey algorithm to find all prime implicants, then selects a minimal cover of the required minterms.
What is a don’t-care (X)?
An input combination whose output you don’t care about. The solver may treat it as 0 or 1 — whichever yields a simpler expression.
What does the prime symbol mean?
A prime (e.g. A′) denotes the complement — the variable is 0 in that term. A bare letter means the variable is 1.
What is Karnaugh Map Solver?
A Karnaugh map solver minimises a Boolean function from its truth table, producing the simplest sum-of-products expression using the Quine–McCluskey method.
Karnaugh Map Solver is a free math utility by Zerethon Tools. Minimise 2–4 variable Boolean functions to simplest SOP with don’t-care support. Shows prime implicants. Runs entirely in the browser — no signup, no upload.
- Category
- Math
- Pricing
- Free
- Privacy
- Browser-based
- Signup
- Not required
Privacy
Your data never leaves your browser unless explicitly stated. Karnaugh Map Solver runs entirely client-side — no server upload, no logging, no tracking of your input.
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