Modular Type Scale Calculator

Percent of, percent change, and percent add/subtract in one.

Enter 2–6 positive integers to get the greatest common divisor (HCF / GCD) and least common multiple (LCM), with the Euclidean step chain shown.

Enter a list of numbers to get the mean, median, mode, range plus standard deviation, variance and total.

Enter the coefficients of ax² + bx + c = 0 to find the real or complex roots, discriminant and vertex.

Estimate a password's bit entropy, brute-force time and strength tier. All computation happens in your browser.

Convert between standard decimal numbers and scientific notation, with significant figures and order of magnitude.

Compute permutations P(n,r), combinations C(n,r) and factorial n! — useful for probability problems, lottery odds and combinatorics homework.

Paste a list of numbers to compute mean, median, sample and population variance and standard deviation — with the working shown.

Solve a triangle from 3 sides, 2 sides + 1 angle, or 2 angles + 1 side — area, perimeter and remaining parts via the law of sines / cosines.

Given any two sides of a right triangle (two legs, or one leg plus the hypotenuse), instantly find the third side, area, perimeter and the two non-right angles.

Enter any one of radius, diameter, circumference or area to get the other three — useful for design, engineering and DIY.

Two-way conversion between Arabic numbers (1–3999) and Roman numerals (I, V, X, L, C, D, M) — handy for typesetting, chapter titles and homework.

Enter two points (x₁, y₁) and (x₂, y₂) to instantly get the slope, y-intercept, line equation y = mx + b, distance, and midpoint — a classroom staple for algebra and coordinate geometry.

Enter group size n to see the probability that at least two people share a birthday — the classic birthday problem.

Compute logₐ(x) for any base — natural log (ln), common log (log₁₀), binary log (log₂) and a custom base, with the change-of-base steps shown.

Enter a value, the mean and the standard deviation to compute the z-score and the corresponding normal-distribution percentile and probabilities.

Enter the screen resolution and diagonal size to get pixel density (PPI), real width/height, dot pitch and total pixel count.

Enter the number of tickets / selections and see the actual probability of hitting first, second … prizes in a Mark Six (6-of-49) draw.

Convert any decimal (including repeating decimals) to a simplified fraction and a mixed number.

Give a sphere any one of radius, diameter, surface area or volume and instantly get the other three — plus the great-circle circumference and area.

Enter the radius and height of a cylinder to get volume (π r²h), lateral surface, base area and total surface area.

Compute nPr — the number of ordered arrangements of r items chosen from n — alongside n!, r! and the related combination nCr.

Factor any integer from 2 up to 10¹² into primes, see the canonical exponent form, count and list all divisors.

Compute the n-th root of the product of n positive numbers — the right average for growth rates, returns and ratios — alongside the arithmetic mean for comparison.

Enter any integer n from 0 to 1500 to instantly compute F(n) and F(n−1) with BigInt precision, the consecutive-term ratio (converging to the golden ratio φ) and the first 30 terms of the sequence.

Pick the number of dice, sides (d4 / d6 / d8 / d10 / d12 / d20) and a target sum to compute the probability of rolling exactly that total, at least, or at most.

Enter first term a, common difference d and number of terms n to compute the nth term aₙ and the partial sum Sₙ = n/2·(2a + (n − 1)d).

Enter confidence level, margin of error, expected proportion (and optional population size) to compute the survey sample size you need.

Enter the first term a, common ratio r and number of terms n to find the sum of the first n terms of a geometric series — plus the infinite-series sum when |r| < 1.

Enter base radius and height to get the cone volume, slant height, lateral, base and total surface area.

Pick a note (C, C♯, D, …), octave and tuning reference A4 (440 Hz by default) and the tool returns the frequency in Hz, the wavelength in air and the MIDI note number via f = A4 × 2^((n − 69)/12).

Enter two known points (x₁, y₁) and (x₂, y₂) and a target x to instantly read off y via y = y₁ + (x − x₁)(y₂ − y₁)/(x₂ − x₁) — the tool flags whether your x sits inside the two points (interpolation) or outside (extrapolation).

Enter the two parallel sides and height of a trapezoid to get its area, midsegment length and perimeter when the legs are known.

Enter the number of trials n, the per-trial success probability p and a target number of successes k to get P(X = k), P(X ≤ k), P(X ≥ k) along with the distribution mean and standard deviation.

Paste two parallel data series (X and Y) and get the Pearson correlation coefficient r, r², the best-fit line slope and intercept, and the sample means and standard deviations.

Enter the sample mean, sample standard deviation, sample size and confidence level to compute a confidence interval for the population mean using the t (or z) distribution, with margin of error and standard error.

Enter the means, standard deviations and sample sizes of two groups to compute Cohen's d and Hedges' g effect sizes, classified per Cohen 1988 as trivial / small / medium / large.

Enter dividend a and divisor n to compute the quotient and remainder a mod n. The truncated (C / JavaScript %), floored (Python / mathematical) and Euclidean conventions are shown side by side so the negative-input differences are obvious.

Toggle read/write/execute for user, group and other to instantly get both octal (e.g. 755) and symbolic (e.g. rwxr-xr-x) notations.

Enter 2D or 3D vector components (x, y, z) to compute the magnitude, unit vector and direction angles.

Enter experimental and theoretical (accepted) values to get absolute percent error, signed relative error, and absolute error. Switch to percent-difference mode to compare two measurements where neither is the accepted value.

Enter the mean event rate λ and an event count k to get P(X = k), P(X ≤ k), P(X ≥ k), the mean, variance and standard deviation — useful for queueing, call-centre staffing and rare-event modelling.

Enter the prior P(A), the sensitivity P(B|A) and the false-positive rate P(B|¬A); the tool applies Bayes’ theorem to give the posterior P(A|B) — handy for medical tests, spam filters and any classification decision.

Enter a circle’s radius and central angle (degrees or radians) to compute the arc length s = r·θ, sector area A = ½·r²·θ and chord length — useful for geometry, machining and architectural layout.

Enter the entries of a 2×2 or 3×3 matrix and instantly get the determinant det(A) via ad − bc or cofactor expansion along the first row, with an invertibility check and the step-by-step 2×2 minors shown for linear-algebra study.

Enter two 2D or 3D vectors and instantly compute the dot product, included angle, scalar projection and vector projection — with hints for orthogonal, parallel and anti-parallel cases.

Enter two numeric vectors of any dimension and compute cos θ = (a·b) / (|a|·|b|), plus the angular distance — the staple similarity metric in NLP, recommender systems and document-similarity scoring.

Enter two values and compute the symmetric percent difference |a − b| / ((|a| + |b|) / 2) alongside the directional percent change (b − a)/a — a common source of confusion in lab reports and news headlines.

Enter two 3D vectors a and b, compute the cross product a × b together with its magnitude (the area of the parallelogram they span) and sin θ — the workhorse of physics torque, computational geometry and 3D graphics.

Enter two points in the plane or in 3D space and the tool returns the straight-line Euclidean distance √Σ(Δᵢ)², each axis delta and the midpoint — handy for geometry homework, CAD measurements and planar GIS work.

Enter a dataset and the tool returns the coefficient of variation CV = σ / μ × 100% (standard deviation divided by mean) — the standard yardstick for comparing dispersion across datasets with different units or magnitudes (lab repeatability, portfolio risk).

Enter a dataset and the tool sorts it and returns the median, first and third quartiles, the inter-quartile range (IQR) and Tukey 1.5×IQR outlier fences — the five-number summary behind every box plot.

Enter a set of positive numbers and compute the harmonic mean HM = n / Σ(1/xᵢ) alongside the arithmetic and geometric means — the right average when the data behaves like rates or denominators (speeds, P/E ratios, flow rates).

Enter a list of class probabilities or frequencies and compute Shannon entropy H = −Σ pᵢ log₂ pᵢ (bits) alongside the maximum entropy and the normalised entropy — the foundation of information theory, decision-tree splits and password analysis.

Enter the side count n and side length s of a regular polygon and the tool returns the interior and exterior angles, the apothem and circumradius, the area and the perimeter in one shot — works for triangles, squares, pentagons, hexagons and beyond.

Enter n and the tool returns the n-th Catalan number Cₙ = (2n)! / ((n+1)! · n!) — the textbook count for balanced parentheses, binary tree shapes, Dyck paths and many other combinatorics problems.

Enter a column of actual values and a column of predicted values; the tool computes MAE, MSE, RMSE, R² and MAPE side-by-side — the staple set of regression-error metrics in machine learning, forecasting and lab-vs-model comparisons — and explains how each one weights outliers differently.

Enter the 6 coefficients of ax + by = e and cx + dy = f. The tool applies Cramer's rule to return x, y, the determinant D and the system's classification (unique solution / no solution / infinitely many), showing the working out so it doubles as a homework check.

Enter a per-trial probability p and a trial count n; the tool returns the probability of at least one success 1 − (1 − p)ⁿ, the expected count np, and the trials needed to reach a target probability — the maths behind raffles, gacha pulls, A/B tests and redundancy design.

Enter observed and expected counts; the tool computes the chi-square statistic χ² = Σ (O − E)² / E, degrees of freedom and the p-value to test whether the observed distribution deviates significantly from theory — the standard test for die fairness, Mendelian ratios and categorical A/B counts.

Enter outcome values x and matching probabilities p; the tool returns the expected value E[X] = Σ p·x, variance Var(X) and standard deviation σ — the foundational metric for casino games, insurance pricing, investment decisions and A/B-test analysis.

Enter sample size n, sample proportion p (or sample standard deviation) and a confidence level (90 / 95 / 99 %); the tool computes the margin of error MOE = z·√(p(1−p)/n) and the matching confidence interval — the core statistic behind political polls, A/B tests and market research.

Enter a list of numbers; the tool returns the mean absolute deviation (MAD = average of |xᵢ − mean|) — a more intuitive spread measure than standard deviation, used in school statistics and demand-forecasting accuracy.

Paste (x, y) data points; the tool fits an ordinary least-squares regression and reports the coefficient of determination R², slope, intercept and Pearson r — the standard "how much variance is explained" measure.

Enter base dimensions and height; the tool returns volume, base area, slant height, lateral surface area and total surface area for square, rectangular, equilateral-triangular or regular n-gon based right pyramids using V = ⅓ × base area × height.

Enter base and height, or two side lengths and the included angle; the tool returns the parallelogram area, perimeter and both diagonals via A = b · h or A = a · b · sin θ.

Enter the semi-major axis a and semi-minor axis b; the tool returns the area A = π a b and uses Ramanujan's second approximation for the perimeter — relative error below 4 × 10⁻⁵ across all eccentricities.

Enter a Z-score; the tool returns the one-sided (left / right) and two-sided p-values, and flags significance against α = 0.05 / 0.01 / 0.001 — the missing step of nearly every hypothesis test.

Enter the sphere radius R and cap height h; the tool returns V = πh²(3R − h)/3 and the curved surface area A = 2πRh — useful for partial spherical tanks, domes and lens segments.

Paste a list of values; the tool scans the dataset and reports the most-frequent value(s), handling unimodal, bimodal and multimodal cases, with the full frequency table — the standard intro-statistics tool for categorical and discrete data summaries.

Enter initial value N₀, continuous rate constant k and elapsed time t; the tool returns N(t) = N₀·e^(kt), the per-period change, and the doubling time (k > 0) or half-life (k < 0) — the universal model for populations, bacteria, radioactive decay, first-order pharmacokinetics and continuously compounded interest.

Enter any positive integer n; the tool iterates the Collatz rule (even → n/2, odd → 3n+1) until it reaches 1 and lists the full sequence, the number of steps and the peak value reached — a classic number-theory and programming exercise.

Enter a positive integer n and the tool returns the n-th triangular number Tₙ = n(n+1)/2, or inversely: given any positive integer N, identify whether N is triangular (and at which index) — staple of combinatorics, the handshake problem and math competitions.

Enter a positive integer n; the tool applies Σᵢ₌₁ⁿ i² = n(n+1)(2n+1)/6 to return the sum of the first n squared positive integers, along with the sum of cubes ([n(n+1)/2]²) and the arithmetic sum — fundamental identities for induction, series and statistics problems.

Enter any length and the tool splits it into long / short parts so that a/b = (a+b)/a using the golden ratio φ ≈ 1.6180339887, or inversely: input two segments and see how closely their ratio approaches φ — a staple of design, photography, layout and mathematics.

Enter two sides and the included angle (SAS) or three sides (SSS); the tool applies c² = a² + b² − 2ab·cos C to solve the unknown side or angle and reports all three sides and angles — a core surveying, construction and navigation tool.

Enter board thickness (in), width (in) and length (ft); the tool applies BF = (T × W × L) ⁄ 12 to return board feet per piece, total board feet, volume (ft³ / m³) and total cost — used by woodworkers, furniture makers and DIY hobbyists for lumber budgeting.

Enter the three sides a, b, c of a triangle; the tool applies r = A ⁄ s (inradius) and R = abc ⁄ (4A) (circumradius) to return both circle radii, plus triangle area via Heron's formula — a workhorse for geometry homework, mechanical layout and architectural design.

Enter base a, exponent b and modulus n; the tool uses the square-and-multiply fast-exponentiation algorithm with BigInt support to compute a^b mod n — the core operation behind RSA cryptography, hashing and modular-arithmetic homework.

Enter a and modulus n; the tool uses the extended Euclidean algorithm to return the modular inverse (a·x ≡ 1 mod n), gcd(a, n) and the Bézout identity — required for RSA private-key generation, the Chinese Remainder Theorem and solving linear congruences.

Enter an IPv4 address and CIDR prefix length (e.g. 192.168.1.10/24); the tool returns the subnet mask, network address, broadcast address, usable host range and total host count — a daily tool for network admins and SREs.

Enter a numerator and denominator (e.g. 48 ⁄ 60); the tool reduces to lowest terms via the greatest common divisor (4 ⁄ 5) and also shows the mixed-number, decimal and percent equivalents — a workhorse for primary and middle-school maths homework.

Enter a row index n (starting at 0); the tool prints the binomial coefficients C(n,0) C(n,1) … C(n,n) for that row, along with the row sum 2ⁿ, the maximum value and the matching (a+b)ⁿ expansion — a quick reference for combinatorics, binomial distributions and the binomial theorem.

Enter two angles + one side (AAS / ASA) or two sides + one non-included angle (SSA — including the ambiguous case); the tool applies sin A ⁄ a = sin B ⁄ b to solve the unknown side or angle and reports all three sides, angles and area. Pair with the existing Law of Cosines tool to cover every SAS / SSS / AAS / ASA / SSA triangle-solving case.

Paste a dataset (comma-separated); the tool returns mean, median, mode, sample standard deviation, plus Pearson's First skewness coefficient (uses the mode) and Second skewness coefficient (uses the median, 3·(mean − median) ⁄ SD) — the standard quick measure of distribution asymmetry in data science, quality control and psychometrics.

Paste a dataset; the tool returns Q1, Q3 and the IQR, then applies Tukey's 1.5 × IQR rule to flag mild outliers (beyond ±1.5 IQR of the quartiles) and extreme outliers (beyond ±3 IQR), reporting the box-plot whisker range. A standard step in exploratory data analysis, quality control and data cleaning.

Enter each group's mean, standard deviation and sample size; the tool returns the t statistic, degrees of freedom and two-sided p-value under both Welch's test (no equal-variance assumption) and the Student pooled t-test. The most-used inferential test for controlled experiments, A/B tests and clinical trial outcome comparisons.

Enter two paired numeric arrays; the tool converts each to ranks (averaging ties) and applies Pearson's formula on the ranks to return Spearman's ρ. A non-parametric measure of monotonic association, robust to outliers and with no normality assumption.

Enter the periodic growth rate r (in %); the tool returns t = ln 2 ⁄ ln(1+r), the exact number of periods needed for a quantity to double. More accurate than the Rule of 72, and applies to population, GDP, investment returns, bacterial cultures and any exponential-growth process.

Enter the sample standard deviation and sample size; the tool returns SEM = s ⁄ √n and the 95% confidence interval (μ ± 1.96 × SEM). The standard calculation behind error bars in scientific charts, A/B-test reporting and journal articles.

Common questions: "100 is 40% of what?" "After +8% it is 540 — what was the original?" The tool handles all three classic reverse-percentage cases: original from percent, percent from base, and pre-markup or pre-discount value.

Enter the win probability p, net odds b and bankroll; the tool returns the Kelly-optimal stake fraction f* = (bp − q) ⁄ b and the suggested bet size (with optional ¼ / ½ fractional-Kelly). The standard bankroll-management framework for sports betting, poker and quant investing.

Enter any time on a 12-hour clock; the tool returns the angle between the hour and minute hands using |30·H − 5.5·M|, reported as the smaller angle in the 0 – 180° range. A classic interview / math-olympiad question and a useful teaching aid for analog-clock instruction.

Enter the number of sides n; the tool returns the sum of interior angles (n − 2) × 180°, the per-vertex interior angle in a regular polygon (sum ÷ n) and the per-vertex exterior angle (360° ÷ n). A standard high-school geometry tool and useful for tiling / tessellation design.

Enter two points (or a slope plus a point); the tool returns all three canonical forms of the same line: slope-intercept y = mx + b, standard Ax + By = C (integer coefficients) and point-slope y − y₁ = m(x − x₁). The bread-and-butter conversion drilled in US Algebra I, SAT and SSAT.

Enter (x, y) coordinates of three points; the tool computes the unique circumscribed circle's centre (h, k) and radius r, plus the standard-form equation (x − h)² + (y − k)² = r². Handy for geometry classes, CAD layouts, drafting and reverse-engineering arcs.

Enter any two of long-run arrival rate λ, time-in-system W, or average number in the system L; the tool returns the third via Little's Law L = λ × W — the foundational identity for queueing theory, WIP management in Agile/Kanban, and capacity planning for support desks and restaurants.

Enter bandwidth and round-trip time (RTT); the tool returns BDP = Bandwidth × RTT (bits in flight) and converts to bytes and KB/MB. The fundamental sizing parameter for TCP socket buffers, congestion window targets and CDN prefetch tuning.

Enter two strings; the tool returns the minimum number of single-character edits (insert / delete / substitute) needed to turn one into the other, plus a similarity percentage — the foundational algorithm for spellcheck, fuzzy matching, plagiarism detection and DNA sequence comparison.

Enter total operating hours and number of failures; the tool returns MTBF = total hours ÷ failures, failure rate λ, and exponential reliability R(t) = e^(−t ⁄ MTBF) — the standard reliability-engineering metrics for hardware, servers and production lines.

Enter two equal-length strings or bit sequences; the tool compares them position by position and returns the Hamming distance (count of differing positions) — the foundational metric for error-correcting codes, DNA sequence comparison, hash similarity and coding theory.

Enter the (x, y) vertex coordinates of a simple polygon (clockwise or counter-clockwise); the tool applies Gauss's shoelace formula A = ½|Σ(xᵢ·yᵢ₊₁ − xᵢ₊₁·yᵢ)| to return the enclosed area — used in surveying, cartography, GIS, CAD and game-development geometry.

Enter two points (x₁, y₁) and (x₂, y₂); the tool instantly returns the midpoint M = ((x₁+x₂)⁄2, (y₁+y₂)⁄2), the Euclidean distance d = √((Δx)² + (Δy)²) and the slope m = Δy⁄Δx — handy for geometry homework, surveying, GIS and CAD work.

Enter the edge length a of a regular tetrahedron; the tool returns volume V = a³ ⁄ (6√2), total surface area A = √3·a², height h = a·√(2⁄3) and the inscribed / circumscribed sphere radii — handy for crystallography, molecular geometry (methane CH₄), organic chemistry and pure geometry problems.

Enter the larger radius R, smaller radius r and height h of a cone frustum; the tool returns volume V = πh(R² + Rr + r²) / 3, slant height ℓ, lateral surface area, the two circular faces and total surface area — useful for paper cups, lampshades, funnels and water tanks.

Enter the radicand x and the root index n; the tool returns the real nth root x^(1/n), handling negative x with odd n, fractional roots and complex-only cases with a clear warning — for cube roots, fifth roots, principal roots and inverse-power problems.

Enter a digit string; the tool validates it with the Luhn (mod-10 doubling) algorithm and computes the trailing check digit that makes the first N − 1 digits valid — the same scheme used by credit cards (Visa, Mastercard, Amex), phone IMEIs and Canadian SINs.

Enter an ISBN-13 (with or without the trailing digit); the tool computes the correct check digit using the (1, 3) weighted mod-10 formula and validates the entire string — useful for librarians, publishers and bookshops managing catalogues.

Enter any positive integer; the tool repeatedly sums its digits until a single digit remains — showing each iteration, the numerology life-path equivalent and the mod-9 identity.

Enter carrying capacity K, initial value N₀, intrinsic growth rate r and time t; the tool applies the Verhulst logistic equation N(t) = K / (1 + ((K−N₀)/N₀)·e^(−rt)) and reports current value, instantaneous growth rate and half-saturation time — universal model for population dynamics, epidemic spread, start-up adoption curves and any growth limited by a carrying capacity.

Enter a 2×2 matrix [[a, b], [c, d]]; the tool applies the closed-form A⁻¹ = 1/det(A) × [[d, −b], [−c, a]] to return the inverse together with the determinant (det = ad − bc) — and reports "singular" when det = 0.

Enter two points (x₁, y₁) and (x₂, y₂) — with optional z to extend to 3D — and the tool applies M = ((x₁ + x₂)/2, (y₁ + y₂)/2) to give the midpoint, the Euclidean distance and the slope (in 2D). Used in high-school coordinate geometry, CAD drafting and game-coordinate math.

Pick a solid shape (sphere, cube, cylinder, cone) and enter its dimensions; the tool returns the surface area (sphere 4πr², cube 6a², cylinder 2πr² + 2πrh, cone πr² + πrl) and the volume — useful for estimating paint, packaging, wrap film and insulation requirements.

Enter the number of defects and total opportunities — or DPMO directly — and the tool returns the yield (1 − DPMO / 10⁶), the long-term sigma level (without shift) and the short-term Six Sigma level (with the conventional 1.5 σ shift) — the standard Motorola / Lean Six Sigma process-capability score.

Enter the torus major radius R (centre of ring to centre of tube) and the tube radius r; the tool applies V = 2π²Rr² and SA = 4π²Rr to give the volume and surface area of the torus (donut shape) — useful for pipe elbows, rubber O-rings, inner tubes and magnetic ring cores.

Enter the four coefficients of ax³ + bx² + cx + d = 0; the tool applies the Cardano-Tartaglia formula to return all three roots (real or conjugate-complex), the discriminant Δ and the type of root configuration.

Enter multiple value + weight pairs; the tool returns the weighted mean Σ(xᵢwᵢ) ⁄ Σwᵢ — unlike a simple arithmetic mean, heavier-weighted entries count more. Common uses: course grades, portfolio returns, survey scores.

Enter an upper bound N for the hypotenuse c; the tool uses Euclid's formula a = m²−n², b = 2mn, c = m²+n² to enumerate every primitive Pythagorean triple (gcd(a,b,c) = 1) up to that bound, with an option to list non-primitive multiples too.

Enter the radius r and height h of a cylinder; the tool returns the total surface area (two circular caps + lateral surface), the lateral surface alone, and a single cap, expressed in cm², m², in² and ft².

Enter outer radius R and inner radius r; the tool returns the annular area, the outer disk area, the inner hole area and the ring width in mm², cm², m², in² and ft² — useful for washers, gaskets, running tracks and tree-ring growth.

Enter the two parental genotypes (e.g. Aa × Aa); the tool draws the 2×2 Punnett square and reports the offspring genotype and phenotype ratios.

Enter the recessive-phenotype frequency q² (or the dominant allele frequency p); the tool applies p + q = 1 and p² + 2pq + q² = 1 to back out the expected fractions of homozygous-dominant, heterozygous and homozygous-recessive genotypes, plus carrier frequency among the unaffected.

Enter the target score, current score, overs bowled and total overs; the tool returns the required run rate (RRR), current run rate (CRR), balls remaining and runs-per-ball needed — useful for cricket fans tracking a chase.

Enter the pitcher's earned runs (ER) and innings pitched (IP); the tool applies ERA = (ER × 9) / IP to give the normalised "earned runs per nine innings" — the universal pitching benchmark used by MLB, NPB, KBO, CPBL and the WBSC.

Enter the pin counts for all ten frames; the tool applies World Bowling / USBC rules for strike (X) and spare (/) bonuses, including the tenth-frame fill balls, and gives the running per-frame total and final score.

Enter pass attempts (ATT), completions (CMP), passing yards (YDS), touchdowns (TD) and interceptions (INT); the tool applies the four-component formula the NFL has used since 1973 to give the 0–158.3 passer rating, the tier (perfect 158.3 down to poor) and the four sub-scores.

Enter planned production time, actual run time, ideal cycle time and total / good unit counts; the tool computes OEE = Availability × Performance × Quality — the universal manufacturing KPI (world-class ≥ 85 %) used in lean management and TPM — and breaks out each of the three component factors.

Enter the bowler's average, the league's base score (commonly 200 or 220) and the handicap percentage (typically 80 %, 90 % or 100 %); the tool applies handicap = max(0, ⌊(base − average) × percent / 100⌋) for the per-game handicap — the standard USBC, World Bowling and league formula — plus the multi-game handicap series total.

Enter up to 20 recent scores plus the course's Course Rating and Slope Rating; the tool applies the World Handicap System (WHS, USGA / R&A 2020) Rule 5 — average the best N of the last 20 score differentials — to give the official Handicap Index.

Enter a decimal value and a bit width (8 / 16 / 32 / 64 bit); the tool returns the two's-complement binary and hexadecimal representation plus the representable range — essential for computer-science students and embedded developers.