गणित और उपयोगिता कैलकुलेटर

Free basic online calculator with memory functions, calculation history, square root, percentage, and full keyboard support.

Easily find percentage values, percent differences, and calculate scored marks quickly.

Calculate the exact percentage increase between two values, or calculate a final value by applying a percentage increase to an initial amount.

Calculate the exact percentage decrease between two values, or calculate a final value by applying a percentage decrease to an initial amount.

A sophisticated app to easily convert numerical numbers and amounts into multiple English, Hindi, and International text formats.

Generate a set of cryptographically secure random numbers with customized ranges and duplication rules.

Calculate your exam marks mathematically. Also supports building an exam subject table to find exact percentages.

Calculate the mean, median, and mode of any set of numbers instantly. Useful for statistics, data analysis, and exam prep.

Calculate slope percentage from rise/run, angle, or two points. Interactive graph, step-by-step solutions, and slope category classification.

Calculate win rates, W-L-D records, and season standings. Includes donut charts, horizontal bar graphs, and points tracking.

Calculate your overall grade from individual assignment and exam scores with custom weightings.

Calculate your GPA (Grade Point Average) for a semester or cumulative across all semesters.

Find out what score you need on your final exam to achieve your desired course grade.

Convert any IQ score to a percentile and population rarity. Supports Standard, Cattell, and Stanine scales. Features a dynamic SVG bell curve with sliding marker and classification table.

Calculate crosswind and headwind/tailwind components for any runway. Enter wind speed, wind direction, and runway heading. Essential for pilots and aviation students.

Decode any tire size (e.g. 205/55R16) and calculate sidewall height, overall diameter, circumference, and revolutions per mile. Compare two tire sizes to find speedometer error.

Calculate monthly and annual fuel savings from carpooling. See your CO₂ reduction, equivalent trees planted, and cars taken off the road. Supports metric and imperial.

Calculate speed, distance, or time using the S = D/T formula. Supports km/h, mph, m/s, and knots. Includes pace calculator for runners and a real-world speed reference table.

Calculate engine RPM from vehicle speed, gear ratio, axle ratio, and tire size. Convert RPM to rad/s, Hz, and degrees/s. Includes SVG gauge and gear ratio reference tables.

Convert nautical miles to km, statute miles, meters, and feet. Bidirectional knots speed converter. Navigation calculator for distance, time, and speed at sea.

Calculate traffic density, flow rate, and Level of Service (LOS A–F) using the Greenshields model. Includes SVG flow-density curve with operating-point marker.

Convert between wheel HP (WHP) and crank HP (BHP) using drivetrain loss percentages. Calculate HP from torque and RPM. Includes HP/kW/PS unit converter and SVG power curve.

Figure out exactly how many pizzas to order for any group. Enter people count, pizza size, and slices per person — includes planning buffer, cost estimator, and event presets.

Calculate log base 10, natural log (ln), log base 2, or any custom base. Includes antilog, log table, change-of-base formula, and logarithm property proofs.

Calculate exact factorials up to 170! using BigInt precision. Includes permutation P(n,r), combination C(n,r), factorial table, and Stirling's approximation in Advanced mode.

Live converter between binary, decimal, hexadecimal, and octal. Step-by-step breakdown, two's complement, IEEE 754 float, bitwise operations, ASCII table, and bit-width selector (4–64 bit).

Split any restaurant or group bill equally, by items, or by percentage. Add tip, track group trip expenses, generate WhatsApp-ready summary, and calculate minimum transactions to settle all debts.

Calculate single event, AND/OR/conditional probability, binomial distribution, normal distribution Z-score, and dice/card/coin probabilities. Includes step-by-step formula breakdown.

Perform matrix addition, subtraction, multiplication, transpose, inverse, determinant, and row echelon form for 2×2, 3×3, and 4×4 matrices. Includes step-by-step working and eigenvalue approximation.

Add, subtract, multiply, and divide fractions with mixed number support. Includes simplify, convert fraction to decimal/percent, compare fractions, and find LCD/GCD with step-by-step working.

Perform addition, subtraction, multiplication, and division with step-by-step working. Includes BODMAS expression evaluator, long division with full working, and LCM/GCD calculator with prime factorization.

Calculate restaurant tips with preset percentages (5–20%) or custom rate. Split among multiple people, choose rounding options, and get a generosity badge. Includes custom-split per person and service-type tipping guide.

Calculate any base raised to any power with step-by-step working. Handles positive, negative, and fractional exponents. Includes nth root calculator, find-exponent tool, and powers table for any base 1–100.

Calculate sin, cos, tan, cot, sec, and cosec with step-by-step working. Includes inverse trig, right triangle SOH-CAH-TOA solver, oblique triangle law of sines/cosines, and 15 trig identity verifier.

Full scientific calculator with sin, cos, tan, log, sqrt, factorial, pi, and memory modes.

Solve ax²+bx+c=0 step by step. Shows roots, discriminant, vertex, and parabola graph.

Find Highest Common Factor and Lowest Common Multiple using prime factorisation or division method.

Add and subtract positive and negative integers with number line visualisation and step-by-step rules.

Column addition with carry-overs shown step by step for multi-digit whole numbers and decimals.

Round to significant figures, count sig figs, apply rounding rules, and convert to scientific notation.

Calculate sampling distribution mean, standard error, and Z-score probability using CLT.

Find antilogarithm (inverse log) for any base including base 10 and natural log.

Calculate C(n,k) — the number of ways to choose k items from n without regard to order.

Calculate P(n,k) — ordered arrangements of k items from n, with and without repetition.

Calculate Chaldean numerology values: destiny number, soul urge, and personality from a name.

Calculate area, circumference, and diameter of a circle from radius with step-by-step formula.

Calculate area, arc length, and perimeter of a semicircle from radius or diameter.

Calculate area, perimeter, and diagonal of a square from its side length.

Calculate area, perimeter, and diagonal of a rectangle from length and width.

Calculate area and perimeter of a parallelogram using base, height, sides, and angles.

Calculate area of a rhombus from diagonals, side length, or height.

Calculate area and midsegment of a trapezium from parallel sides and height.

Calculate area of any triangle from three sides using Heron's formula with semi-perimeter.

Calculate area, hypotenuse, and perimeter of a right triangle from its two legs.

Calculate area, height, and perimeter of an equilateral triangle from side length.

Calculate area and perimeter of an isosceles triangle from equal sides and base.

Calculate area, apothem, and perimeter of a regular hexagon from side length.

Calculate area of a circular sector and segment from radius and central angle in degrees or radians.

Calculate area and perimeter of an ellipse from semi-major and semi-minor axes.

Calculate surface area of cubes, spheres, cylinders, cones, and rectangular prisms in one tool.

Calculate total surface area 4πr² of a sphere from radius or diameter.

Calculate lateral and total surface area of a cone from radius and slant height or height.

Calculate total surface area 6a² of a cube from side length.

Calculate lateral and total surface area of a cylinder from radius and height.

Calculate surface area of a box (cuboid) from length, width, and height.

Convert quadratic to vertex form, find vertex, axis of symmetry, and focus of the parabola.

Calculate area of any polygon from vertex coordinates using the Gauss/Shoelace formula.

Find the centroid G (center of mass) of a triangle from its three vertex coordinates.

Find the orthocenter H (altitude intersection point) of a triangle from vertex coordinates.

Calculate the flat pattern sector dimensions for making a cone from sheet metal or paper.

Calculate the Euclidean distance between two points in 3D space from (x₁,y₁,z₁) to (x₂,y₂,z₂).

Solve |ax+b|=c equations with step-by-step working and number line visualisation.

Solve classic two-person age algebra word problems with step-by-step equations.

Simplify expressions: expand brackets, combine like terms, and factor polynomials.

Expand (a+b)ⁿ using Pascal's triangle and binomial coefficients with full step-by-step working.

Solve algebra word problems involving mixtures of coins (pennies, nickels, dimes, quarters).

Complete the square for ax²+bx+c and convert to vertex form with step-by-step working.

Find the number of positive and negative real roots of a polynomial using sign changes.

Find the domain and range of a function in interval notation — rational, radical, logarithmic.

Solve aˣ=b exponential equations using logarithms with step-by-step working.

Compute f(g(x)) and g(f(x)) — compose two functions with domain finding.

Plot y=f(x) interactively. Supports polynomial, trig, exponential, and custom functions.

Test if a function is odd, even, or neither by checking the f(−x) symmetry condition.

Solve linear, compound, quadratic, and rational inequalities with number line visualisation.

Find f⁻¹(x) by swapping x and y and solving, with domain and range.

Solve 2×2 and 3×3 systems using substitution, elimination, or Cramer's rule.

Rearrange any formula to solve for any variable — physics, chemistry, and finance formulas.

Solve logarithmic equations with extraneous solution checks and step-by-step working.

Factor polynomials using GCF, difference of squares, and rational root theorem methods.

Divide polynomials using long division or synthetic division with remainder working.

Find real and complex roots of polynomials using exact and numerical methods.

Solve equations with square roots and nth roots with extraneous solution detection.

Simplify radical expressions, combine like radicals, and rationalise denominators.

Solve equations with fractions by finding LCD, with excluded values and work-rate problems.

Add, subtract, multiply, and divide rational expressions with domain restrictions.

List all possible rational roots p/q of a polynomial using the rational root theorem.

Find y=mx+b from two points, or convert between standard and slope-intercept form.

Graph a system of linear inequalities and shade the feasible region with corner points.

Solve circle–line and parabola intersection systems using substitution and Newton-Raphson.

Solve pipe, cistern, and combined work problems: time for multiple workers together.

Find x-intercept and y-intercept of a line or function from its equation.

Union, intersection, difference, complement, and symmetric difference with Venn diagrams.

Maximise or minimise a linear objective function subject to constraints — graphical method.

Evaluate the Euler Beta function B(x,y) = Γ(x)Γ(y)/Γ(x+y) for real inputs.

Calculate binomial PMF and CDF with mean, variance, standard deviation, and distribution chart.

Convert edge lists to adjacency matrices for directed and undirected graphs with degree sequences.

Simplify boolean expressions and generate truth tables for AND, OR, NOT, XOR, NAND, NOR.

Solve simultaneous congruences using CRT with modular inverse and Bezout coefficients.

Perform AND, OR, XOR, NOT, left/right shift on binary and hex numbers with bit display.

Add, subtract, multiply, divide complex numbers. Converts rectangular ↔ polar form.

Find continued fraction expansion of any decimal with convergents and best rational approximations.

Calculate D(n) — permutations where no element appears in its original position.

Calculate Shannon entropy H(X) in bits from a probability distribution.

Calculate erf(x), erfc(x), complementary error function, and inverse error function.

Calculate φ(n) — the count of integers from 1 to n that are coprime to n.

Model P(t)=P₀e^(−rt): radioactive half-life, drug clearance, capacitor discharge.

Model P(t)=P₀e^(rt): population growth, investment doubling time, bacterial growth.

Find GCD with Bezout coefficients s,t such that as+bt=gcd(a,b), step by step.

Evaluate Γ(x) for real inputs using the Lanczos approximation. Generalises factorial.

Calculate golden ratio φ=1.618... proportions, golden rectangle, and Fibonacci connection.

Apply the principle of inclusion-exclusion to count elements in unions of up to 3 sets.

Minimise boolean functions with K-map SOP/POS, prime implicants, and don't-care conditions.

Find the stationary distribution of a Markov chain from a stochastic transition matrix.

Calculate aᵇ mod m efficiently using the binary square-and-multiply algorithm.

Calculate PMF and CDF for the number of failures before the r-th success.

Find maximum flow in a network using Edmonds-Karp BFS (Ford-Fulkerson) algorithm.

Find minimum items needed to guarantee a specific outcome using the pigeonhole principle.

Calculate Poisson PMF and CDF for rare events with rate parameter λ.

Find all primitive roots modulo n using Euler's totient theorem and group theory.

Calculate probabilities for normal, exponential, uniform, and chi-squared distributions.

Solve proportion problems a:b=c:d, scale ratios, and check direct/inverse proportionality.

Explore modular arithmetic rings: units, zero divisors, Cayley table, and field checking.

Round to decimal places, significant figures, or nearest integer with 8 rounding modes.

Sum arithmetic, geometric, and power series using Faulhaber's formula and exact formulas.

Calculate Stirling numbers of the first and second kind and Bell numbers for set partitions.

Find the order of elements in cyclic groups and Zₙ using Lagrange's theorem.

Find the shortest path in a weighted graph using Dijkstra's algorithm with step-by-step table.

Find chromatic number and valid vertex colouring using the Welsh-Powell greedy algorithm.

Check if a degree sequence is graphical using the Erdős–Gallai theorem and Havel-Hakimi.

Determine if a Hamiltonian path or cycle exists in a graph using backtracking search.

Find MST of a weighted graph using Kruskal's and Prim's algorithms step by step.

Test if a graph is planar using Euler's formula V−E+F=2 and Kuratowski's theorem.

Find stable matching using the Gale-Shapley deferred acceptance algorithm step by step.

Topologically order a DAG using Kahn's algorithm or DFS, with cycle detection.

Display and search within 10,000+ digits of π. Find digit patterns and sequence positions.

Display and search within 10,000+ digits of Euler's number e.

Verify that any even number is the sum of two primes with Goldbach comet visualisation.

Test if 2ᵖ−1 is a Mersenne prime using the Lucas-Lehmer primality test.

Practice mental arithmetic with timed drills on addition, subtraction, multiplication, and division.

Calculate μ(n) and the Mertens function M(n) for number-theoretic applications.

Calculate a mod m with floor, truncated, and Euclidean modulo variants with congruence class.

Generate colour-coded multiplication tables up to 20×20 with heat map and quiz mode.

Calculate the nth root of any number with step-by-step Newton's method working.

Generate all number bond pairs that sum to a target — visual tool for primary maths.

Count digits, find digit sum, digital root, and place value of each digit in a number.

Identify arithmetic, geometric, or custom patterns in a sequence and predict next terms.

Evaluate expressions following PEMDAS/BODMAS with step-by-step highlighted working.

Test if a number is perfect, abundant, or deficient by summing proper divisors.

Visualise the place value of any number with an interactive chart from ones to billions.

Find prime factors of a number using a step-by-step factor tree.

Test primality using Miller-Rabin. Lists all prime factors, divisors, and nearest primes.

Perform integer division with step-by-step working showing quotient, remainder, and verification.

Simplify ratios, find equivalent ratios, solve proportion problems, and compare ratios.

Convert between Arabic and Roman numerals and perform arithmetic in Roman numerals.

Multiply two numbers using the ancient doubling-and-halving method with binary table.

Convert between meters, feet, miles, km, yards, nautical miles, inches, fathoms, and more.

Convert between square meters, acres, hectares, square feet, square miles, and more.

Convert between kilograms, pounds, grams, ounces, stones, metric tons, and more.

Convert between litres, gallons, cups, pints, cubic meters, millilitres, and more.

Convert between degrees, radians, gradians, arcminutes, arcseconds, milliradians, and NATO mils.

Convert between Celsius, Fahrenheit, Kelvin, and Rankine temperature scales instantly.

Convert between mph, km/h, m/s, knots, mach speed, and the speed of light.

Convert between joules, kWh, calories, BTU, electronvolts, and other energy units.

Convert between psi, bar, pascal, atm, mmHg, torr, and other pressure units.

Convert between bytes, KB, MB, GB, TB using both binary (IEC) and decimal (SI) standards.

Calculate 95% (or custom) confidence interval for a mean or proportion with margin of error.

Calculate regression line y=mx+b, R² coefficient of determination, and Pearson correlation.

Calculate Pearson r, R², and bivariate correlation with scatter plot visualisation.

Dot product, cross product, magnitude, unit vector, and angle between 2D/3D vectors.

Calculate the current-limiting resistor for an LED from supply voltage, forward voltage, and current.