Simulators

Build circuits, run C++, and work through probability, calculus, discrete maths and DC circuits step by step.

1 Logic · 2 C++ · 3 Probability · 4 Calculus · 5 Discrete · 6 Physics

Drag gates · click switch to toggle · drag output→input to wire · click wire to delete

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Add switches, gates, and an LED, wire them up, then hit Truth.

1 0

Del delete · Ctrl+Z undo

Use ^ powers, * multiply, sin, cos, e^x, ln(x), sqrt(x).

Enter an expression and press Solve.

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∫xⁿxⁿ⁺¹/(n+1)

∫eˣeˣ

∫1/xln|x|

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Quick Reference

¬ (NOT) — negation

∧ (AND) — conjunction

∨ (OR) — disjunction

→ (IMPLIES) — implication

↔ (IFF) — biconditional

∪ — union · ∩ — intersection

|P(A)| = 2ⁿ (power set)

nPr = n!/(n−r)!

nCr = n!/(r!(n−r)!)

gcd(a,b)·lcm(a,b) = a·b

Injective: no two inputs share an output

Surjective: every output is hit

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DC Circuit Formulas

V = IR (Ohm's Law)

P = VI = I²R = V²/R

Series (R): R_eq = R₁ + R₂

Parallel (R): 1/R_eq = 1/R₁ + 1/R₂

Series (C): 1/C_eq = 1/C₁ + 1/C₂

Parallel (C): C_eq = C₁ + C₂

Constants

k = 8.99×10⁹ N·m²/C²

ε₀ = 8.85×10⁻¹² C²/N·m²