Complex Number (i) Calculator
Perform complex number arithmetic — add, subtract, multiply, divide, raise to powers via De Moivre, find modulus, argument, polar form, and conjugate.
Mathematical concepts, functions, and applied math calculators. Browse our free general math tools below — no sign-up required.
Perform complex number arithmetic — add, subtract, multiply, divide, raise to powers via De Moivre, find modulus, argument, polar form, and conjugate.
Explore Galileo's paradox interactively — compare counting numbers with perfect squares, visualize bijections, and understand infinite set cardinality.
Simulate Hilbert's Hotel thought experiment — accommodate new guests in a fully-occupied infinite hotel and explore cardinal arithmetic interactively.
Validate credit card numbers, IMEI codes, and other IDs using the Luhn checksum algorithm. Generate check digits with step-by-step visualization.
Convert between decimal and Mayan vigesimal (base-20) numeral system. See dots-and-bars glyphs, Long Count notation, and place-value breakdowns.
Calculate the probability of "miraculous" events — birthday paradox, lottery odds, coincidence probability, and Littlewood's Law of Miracles.
Convert between decimal and one's complement binary representation. View bit flipping, sign detection, range tables, and comparison with two's complement.
Explore pi — view digits, approximate with Leibniz/Machin/Monte Carlo methods, calculate circle area, circumference, and annulus area interactively.
Convert between infix, prefix (Polish), and postfix (Reverse Polish) notation. Evaluate RPN expressions with step-by-step stack traces.
Explore the Potato Paradox — see how 100 kg of 99% water potatoes become 50 kg at 98% water. Generalize with any weight and water percentage.
Explore the Prisoner's Dilemma — payoff matrices, Nash equilibrium, iterated games with Tit-for-Tat, Grim Trigger, Pavlov, and more strategies.
Explore RSA encryption with small primes — generate keys, encrypt and decrypt messages, see modular exponentiation step by step.
Plot data points, compute Pearson correlation, linear regression, R², residuals, standard error, and outlier detection interactively.
Convert between set-builder and roster notation, perform union/intersection/difference, test membership, and explore set theory interactively.
Count significant figures in any number, round to N sig figs, and perform arithmetic with proper significant figure rules. Digit-by-digit analysis.
Generate all subsets (power set) of a set, count by size with C(n,k), view binary encodings, and solve subset-sum problems interactively.
Convert between decimal and two's complement binary for 8, 16, 32, 64-bit widths. View hex, octal, range, overflow detection, and arithmetic operations.