All rows enumerated.
Systematic listing of every input combination.
Complete
EN
Truth Table Solver
Truth tables for any boolean expression.
Type or photograph the boolean expression. AskSia enumerates all input combinations, evaluates the expression at each, and presents the complete truth table. Tautology, contradiction, and equivalence checks supported.
Works with word problems, equations, code, and science prompts.
∫ 3x² · sin(x) dx
SubjectsCalculusAlgebraPhysicsChemistryBiologyCSStatisticsEcon
4.9 / 5 · trusted by 2M+ students · 50M+ problems solved
asksia.ai/solver
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Problem
Find the area enclosed between y = x² and y = 2x in the first quadrant.
1
Find the points of intersection
Set the curves equal: x² = 2x → x(x - 2) = 0, so x = 0 and x = 2.
2
Identify which curve is on top
On (0, 2), 2x > x², so y = 2x is the upper curve.
3
Set up the area integral
A = ∫₀² (2x - x²) dx
4
Integrate term-by-term
A = [ x² - x³/3 ]₀²
Final Answer
A = 4/3 sq. units
Quick Answer
What is a truth table?
A truth table lists every possible combination of input values (true/false or 1/0) for a boolean expression and the resulting output value. For an expression with n variables, the table has 2 to the n rows. Each variable's column shows its assignment, and the rightmost column shows the expression's value. Truth tables are used to verify equivalence of expressions, identify tautologies (always true) and contradictions (always false), and design or verify logic circuits.
98%
solution accuracy
50M+
problems solved
~1.5s
avg solve time
A+
study-ready explanations
Why AskSia Solver
Why students use AskSia for Truth Table.
Every step transparent, every answer self-checked.
Sub-expression columns.
AskSia adds columns for intermediate expressions to show the buildup.
Transparent
Tautology or contradiction check.
If every row's output is 1, tautology. If every row is 0, contradiction.
Classification
Equivalence check.
Two expressions are equivalent iff their truth tables match row-by-row.
Compare
Photo, paste, or type.
Snap handwritten or printed problems with your phone, paste from any online homework portal, or type with full LaTeX support.
Multi-modal input
Verified by AskSia.
Every answer gets a self-check pass. Sia catches sign errors and algebra mistakes before you submit your homework.
Self-checked
How It Works
Solve any Truth Table problem in three steps.
Step 01
Enter the problem.
Type the expression, paste from your homework, snap a photo, or speak it. AskSia parses your input and identifies the structure.
Input mode
Snap a Photo
Textbook, handwriting, screenshot
Paste Text
Word problem or equation
Calculator
LaTeX-ready equation editor
Step 02
AskSia picks the method.
Based on the problem structure, AskSia chooses the cleanest solution path and labels each step with the operation performed.
1
Set curves equal
x² = 2x → x = 0, x = 2
2
Set up the integral
A = ∫₀² (2x - x²) dx
3
Evaluate
A = [x² - x³/3]₀² = 4/3
Step 03
Read the verified answer.
Final result appears with a substitution or composition check. Practice problems on the same concept are one tap away.
Auto-generated diagram
Region between y = 2x and y = x² — area = 4/3
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Every solve syncs across Web, iOS, and Android — start it at your desk, finish on your phone.
Web App
Full study studio
Split-panel interface with the worked solution on the left, the auto-generated diagram and AI tutor chat on the right.
Drag & drop image upload + LaTeX equation editor
Auto-generated diagrams render alongside steps
Side-panel AI tutor chat for hints and alt methods
Export to PDF, DOCX, Notion, or Google Docs
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Calculus
98% verified
1.4s
Step 4 of 4 · Evaluate
A = [x² - x³/3]₀² = 4/3
Mobile App
Snap & solve, anywhere
Open the camera, frame the problem, and the worked solution plus diagram appear in seconds.
One-tap snap-and-solve on iOS and Android
Pinch-to-zoom diagrams, swipe between steps
Auto-sync solves with your Web library
Offline review of saved solutions and flashcards
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98%
1.4s
Area between y=2x & y=x²
A = 4/3 sq. units ✓
Use Cases
What the Truth Table solver covers.
Simple boolean expression.
AND, OR, NOT, XOR. Standard 2-, 3-, 4-variable tables.
Basic
Compound expression.
Combinations of AND, OR, NOT. AskSia shows intermediate columns.
Compound
Verify equivalence.
Two expressions equivalent if and only if truth tables match.
Equivalence
Tautology detection.
Some logical formulas are always true regardless of inputs.
Tautology
Logic circuit specification.
Truth table is the spec; design follows from it.
Design
Verify your homework.
Paste your candidate answer and the original problem. AskSia walks the work, flags any divergent step, and tells you the correct final value.
Answer check
Compare
AskSia vs. ChatGPT,
Photomath & Symbolab.
General chatbots hallucinate. Photo solvers stop at math. AskSia is built for actual coursework with verified accuracy, visual learning, and every subject.
| Feature | AskSia Solver | ChatGPT | Photo Solvers |
|---|---|---|---|
| Solution accuracy | ✓ 98% | ~70-85%, hallucinations | ~90%, math only |
| Auto-generated diagrams | ✓ Every solve | Inconsistent / broken | Graphs only, math-only |
| Step-by-step explanations | ✓ Numbered + plain English | Inconsistent depth | ✓ Math steps |
| Subject coverage | ✓ Math, Physics, Chem, Bio, CS, Econ | ✓ Wide but unverified | Math only |
| Photo input | ✓ Handwriting + diagrams + code | Photos OK, weak on handwriting | ✓ Math photos only |
| Answer verification | ✓ Self-checked before display | No verification | Math engine only |
| Tutor follow-ups | ✓ Hints, alt methods, ELI5 | ✓ General chat | Not available |
| Practice and flashcards | ✓ One-tap from any solve | Manual prompting | Not available |
| Code debugging | ✓ Python, Java, C++, SQL... | ✓ Yes | Not available |
| Free to start | ✓ Daily solves, no card | Limited model access | Steps locked behind paywall |
FAQ
Frequently asked questions.
How many rows does a truth table have?
For an expression with n variables, the truth table has 2 to the n rows: each variable contributes a 2x multiplier to the number of possible input combinations. So 2 variables give 4 rows, 3 variables give 8 rows, 4 variables give 16 rows. AskSia enumerates all rows systematically, typically in binary-counter order.
What is a tautology?
A tautology is a boolean expression that is true (1) for every possible input combination. For example, A OR (NOT A) is a tautology because at least one of A or NOT A must be true. Tautologies have a truth table with a column of all 1s. AskSia identifies tautologies by checking the final column.
How do you check if two boolean expressions are equivalent?
Construct truth tables for both expressions using the same input order, and compare the output columns row by row. If they match in every row, the expressions are equivalent. If they differ in any row, they are not equivalent. AskSia accepts two expressions and reports whether they are equivalent.
Can AskSia show intermediate columns?
Yes. For compound expressions like (A AND B) OR (NOT C), AskSia adds columns for (A AND B), (NOT C), and finally the full expression, in addition to the variable columns. This shows the buildup and helps verify the work. You can request fewer or more intermediate columns.
How accurate is AskSia?
AskSia hits 98% accuracy on standard high school and college coursework, measurably higher than ChatGPT, Photomath, and Symbolab on the same problem sets. Accuracy comes from subject-specialized models, a symbolic verification pass that catches arithmetic errors, and a self-check step that re-derives the answer before showing it to you.
Can I get practice problems and flashcards?
Yes. After any solve, ask Sia to generate similar practice problems at SAT, ACT, AP, IB, or college difficulty, or build a flashcard set on the underlying concept in one tap. Useful for exam prep and spaced repetition before a quiz, midterm, or final.
How much does AskSia cost?
AskSia has a free plan that includes daily solves across all subjects. AskSia Pro and Super include unlimited solves, advanced subjects, the full AI tutor companion, exports, and priority response speed. See pricing for details.
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All inputs, every output, full table.
Join 2M+ students using AskSia to solve truth table problems step-by-step. Photo input, plain-English explanations, and a verification check on every solve.