Length Conversion Formulas & Systems

Length represents the physical measurement of distance between two points. UnitsSwitch facilitates bidirectional mapping across both Metric systems (meter, kilometer, centimeter, millimeter) and Imperial / US Customary scales (miles, yards, feet, inches).

Mass & Weight Conversion Explanations

Mass quantifies the volume of matter in an object, while weight reflects gravitational attraction. In standard utility contexts, terms are used interchangeably. Our calculations run on exact international physical constants.

Temperature Thermal Calculations & Equations

Unlike linear measurements, temperature offsets require customized scaling functions. Celsius is defined by freezing and boiling points of water, Fahrenheit scales are standard in the USA, and Kelvin represents the absolute thermodynamic scale.

Understanding Time Zones & Offsets

Time zones are regions of the Earth that observe a uniform standard time for legal, commercial, and social purposes. Offsets are calculated relative to Coordinated Universal Time (UTC). UnitsSwitch uses browser API schemas to dynamically calculate Daylight Saving Time (DST) changes.

Calendar Days & Duration Calculations

Calculating the duration between dates helps with planning projects, measuring ages, or scheduling events. A normal year has 365 days, while leap years contain 366. This tool tracks leap cycles automatically.

Restaurant Tip splitting Formulas

Tipping etiquette varies globally, typically averaging 15% to 20% in standard services. The mathematics are straightforward:

Mortgage Amortization Formula Explained

Fixed rate loans compounding monthly use the standard amortization equation to compute payments:

Where M is monthly payment, P is principal amount, r is monthly interest rate (annual rate / 12), and n is total number of payments (years × 12).

What is JSON & Why Format It?

JSON (JavaScript Object Notation) is a lightweight data-interchange format. Because computers read JSON without whitespace, formatting (beautification) is necessary for human developer debugging. Our formatting tool parses inputs client-side, keeping your data secure.

How Base64 Encoding Functions

Base64 is a binary-to-text encoding scheme that translates binary data into a set of 64 ASCII characters. It is commonly used to transfer files (like images) embedded inside HTML, CSS, or XML, preventing character loss during email or web transfers.

Percent Encoding (URL Safe Formatting)

URL encoding, or percent-encoding, translates special characters (e.g., spaces, ampersands, slashes) into safe hexadecimal representations. This ensures that parameters in query strings do not break network routing layouts.

Kitchen Cooking Measurements Conversion Ratios

Standard recipes call for volume conversions that vary between UK and US metrics. Here are standard baking ratios:

Understanding Body Mass Index Categories

Body Mass Index (BMI) is a value derived from the mass (weight) and height of a person. It is defined as body mass divided by the square of body height:

Standard ranges: Underweight (<18.5), Normal Weight (18.5 to 24.9), Overweight (25.0 to 29.9), and Obese (≥30.0).

Image Conversion Options

Convert modern iPhone HEIC photos, transparent PNGs, SVGs, and WebP graphics instantly. Adjust compression quality to reduce file sizes for web publishing or resize pixel dimensions with crisp canvas rendering.

Media Transcoding Engine

Extract uncompressed WAV audio directly in your browser, or transcode to MP3, OGG, MP4, WebM, and animated GIF using the native FFmpeg engine on the conversion server. Inspect duration, resolution, and audio presence instantly.

Document Conversion Capabilities

Convert PDFs to editable Word DOCX or plain text via the conversion server, transform tabular CSV data into JSON arrays, and render text, Markdown, or HTML into paginated PDF documents directly inside your web browser.

Which of those touch a server is worth knowing. CSV to JSON and the routes that produce a PDF are handled in the browser, so that data stays on your machine. Anything starting from a PDF goes to the conversion server, because reading a PDF's internal text objects is the part a browser cannot do well. Uploaded files are deleted as soon as the conversion finishes, but if a document is confidential, that round trip is the thing to weigh before you start.

PDF to Word carries an inherent limitation that no converter escapes. A PDF records where glyphs sit on a page, not that a run of text is a heading, a table cell or a caption. Rebuilding a DOCX means inferring that structure back, and the inference is imperfect: expect text and reading order to survive well, multi-column layouts and complex tables to need tidying, and precise page design not to transfer. Use it to recover editable content, not to reproduce a layout. A PDF made from a scan holds no text objects at all, so it will yield nothing without OCR, which this tool does not perform.

The CSV to JSON route reads the first row as field names and emits one object per remaining row. Give it a clean header row and consistent column counts and it will do the right thing; quoted fields containing commas are handled, but a file with merged cells, stacked title rows above the header, or trailing summary lines should be tidied in a spreadsheet first.

Ebook Conversion & Reading

Extract chapter text from EPUB ebooks client-side, inspect author metadata and table of contents, and convert your books into MOBI files for Kindle sideloading, standards-compliant EPUB packages, clean printable PDF documents, or plain text for reading anywhere. PDF books are routed through the conversion server's text extractor, then rebuilt as EPUB or MOBI with a generated table of contents.

Note on Kindle: Amazon's Send to Kindle service now accepts EPUB directly and no longer takes MOBI. Choose MOBI when sideloading over USB to an older Kindle, and EPUB for Send to Kindle or any other reader. Output is text and structure only — images, fonts, and original page layout are not carried over.

That last point decides whether this tool suits a given book. EPUB and MOBI are reflowable formats: the reader chooses the typeface and size, and text re-wraps to fit whatever screen it lands on. A novel, an essay collection or a report survives that transformation intact, because the words carry the meaning and the layout was only ever a container. A cookbook built around photographs, a textbook with diagrams beside the paragraphs they explain, or a technical manual with wide code listings will lose the part that made it readable.

Starting from PDF is the harder direction, and it helps to know why. A PDF fixes text at coordinates on a fixed page; converting to EPUB means discarding that page and letting the text reflow. Running headers, footers and page numbers were placed for a printed page and have no equivalent in a reflowable book, so they can surface as stray lines in the text. Two-column academic PDFs are the most difficult case of all, since reading order has to be inferred from position. Expect to skim the result before settling in with it.

Chapter structure comes from the source. An EPUB with a proper table of contents keeps its chapter breaks through conversion; a PDF has none to keep, so a table of contents is generated from the text instead and will be rougher than one an author wrote. If a converted book opens as a single unbroken chapter, that is usually the source telling you it never carried the structure to begin with.

Area Conversion Calculations

Area measurements scale by the square of linear units. 1 Acre is equal to exactly 43,560 square feet or approximately 4,046.856 square meters. 1 Hectare is defined as exactly 10,000 square meters (a square of 100m on each side), equivalent to 2.471 acres.

Speed Conversion Ratios

Speed is the rate at which an object covers distance. 1 Mile per Hour is equivalent to 1.60934 Kilometers per Hour. 1 Knot is defined as 1 nautical mile per hour, which equals exactly 1.852 km/h or 1.15078 mph. Meters per second (m/s) is the SI base unit of velocity.

Energy and Work Units

1 Kilowatt-hour (kWh) represents the energy consumed by a 1,000-watt appliance running for 1 hour, equivalent to exactly 3,600 kilojoules (kJ) or 3.6 million Joules. 1 Calorie (nutritional, or kcal) equals 4.184 kJ. 1 BTU represents the heat required to raise the temperature of 1 pound of water by 1°F.

Understanding Power Ratings

Power is the rate at which work is performed. 1 Kilowatt (kW) equals 1,000 Watts. Mechanical Horsepower (hp) is a common unit for engine output, with 1 hp defined as approximately 745.7 Watts. Therefore, 1 kW is equivalent to roughly 1.341 hp.

Pressure Constants & Conversions

Pressure represents force applied perpendicular to a surface per unit area. 1 Bar is equal to 100,000 Pascals (Pa) or 100 kPa, which is roughly equivalent to 14.5038 PSI. 1 Standard Atmosphere (atm) is defined as exactly 101,325 Pa or 1.01325 bar, equivalent to 760 Torr (mmHg).

Angle Conversion Formulas

Angles represent the rotational spacing between intersecting lines. Radians measure angles by the arc length of a unit circle. A full circle contains 360 degrees, equivalent to exactly 2π Radians (approx. 6.28318 rad) or 400 Gradians. Thus, 180 degrees equals π Radians.

Frequency Scaling and Waves

Frequency represents the number of occurrences of a repeating event per unit of time (cycles per second). Hertz is the SI base unit. 1 Kilohertz (kHz) represents 1,000 Hz. 1 Megahertz (MHz) represents 1 million Hz. 1 Gigahertz (GHz) represents 1 billion Hz. 1 Terahertz (THz) represents 1 trillion Hz.

Where These Exchange Rates Come From

This currency converter integrates keyless Multiple APIs to retrieve reference exchange rates sourced from the European Central Bank (ECB) and other major financial institutions. Three routes are tried in order — the Frankfurter API, its mirror, then our own server reading the ECB's XML feed directly — so a single endpoint going down does not take the tool with it. Whichever route answers, the figures are re-based to US dollars before they reach the calculator.

Reference rates of this kind carry one property worth understanding: they are published on a daily cycle, not streamed. The ECB sets its rates once per working day at around 16:00 Central European Time and publishes nothing at weekends or on TARGET closing days. Rates like these are meant for accounting, invoicing, customs and expense claims rather than live trading. A bank or card issuer adds its own spread on top, so the amount that actually lands in an account will differ from the figure shown here.

Fetched rates are stored in your browser, which is what lets the converter keep working offline or on a poor connection. If it has never reached a live source it falls back to a baseline table shipped with the app — fine for rough arithmetic, but check the rate indicator above before trusting it for anything that matters.

VAT Addition and Deduction Math

Tax additions multiply the base net amount by 1 + (rate / 100). Deducting tax (calculating Net from Gross) divides the Gross amount by 1 + (rate / 100). The difference represents the absolute tax cost.

Binary vs Decimal Storage Units

Computer science uses binary bases where 1 KB = 1024 Bytes. Hard drive manufacturers use decimal bases where 1 KB = 1000 Bytes. This is why a "1 TB" drive displays as roughly 931 GB in operating systems. The base selector above switches between the two, and the choice is recorded alongside each result in your history so you can tell later which convention a figure was calculated under.

The gap widens at every step up the scale. At kilobytes the two conventions differ by 2.4%; by gigabytes it is 7.4%, and by terabytes almost 10%. Nothing is being lost and no one is being deceived — the drive really does hold a trillion bytes, but Windows divides by 1024 three times and reports the smaller number. macOS and most Linux distributions switched to decimal years ago, which is why the same drive can report two different capacities on two machines.

A rule of thumb for which to pick: use decimal when the number came off a spec sheet, an invoice, a bandwidth cap or a cloud storage plan, since vendors quote in powers of ten. Use binary when the number came from your own machine — file sizes, RAM, disk usage in a file manager or terminal — because that is what the operating system is almost certainly reporting.

Data Speed Conversions

Data transmission speeds are measured in bits per second (bps) using decimal prefixes. 1 Kbps = 1,000 bps. 1 Mbps = 1 million bps. 1 Gbps = 1 billion bps. A Megabit per second (Mbps) measures network speed, whereas Megabyte per second (MB/s) represents local disk transfer speed (1 MB/s = 8 Mbps).

Scientific Notation Equations

Scientific notation writes numbers as m × 10ⁿ, where the coefficient m is a number between 1 and 10, and the exponent n represents the power of ten. Standard notation is highly useful in scientific fields to represent extremely large or small numbers cleanly.

ASCII Encoding Systems

Standard text is represented in computers using ASCII / UTF-8 binary sequences, where each character maps to an 8-bit binary octet (e.g. 'H' = 72 in decimal = 01001000 in binary = 48 in hexadecimal).

Color Code Mapping

HEX represents colors in hexadecimal base-16 strings. RGB scales Red, Green, and Blue channels from 0 to 255. HSL calculates Hue (0-360°), Saturation (0-100%), and Lightness (0-100%). HSV and HWB restate the same hue wheel in terms designers often find easier to reason about — value and saturation in one case, whiteness and blackness in the other. CMYK represents print subtractive inks: Cyan, Magenta, Yellow, and Key (Black).

The remaining formats exist because RGB is not perceptually even. Two colours the same numeric distance apart in RGB can look very different in how far apart they actually appear. CIE LAB and its cylindrical form LCH were built to correct that, which is why they are used for colour-difference calculations and quality control. OKLCH is a more recent revision that fixes the blue-hue distortion LAB is known for; it is the format to reach for when you want a set of swatches to look evenly spaced, or a gradient to avoid turning muddy in the middle.

Display P3 and Rec. 2020 are wide-gamut spaces. They describe colours more saturated than standard sRGB can show, which matters for modern phone and laptop screens but means a value that looks vivid there may flatten out on older hardware. Convert to sRGB and check before committing a wide-gamut colour to a brand palette.

The PMS Pantone field is a nearest-match approximation, not an authoritative lookup. Pantone inks are physical, mixed rather than screened, and several sit outside anything a monitor can display. Treat the suggestion as a starting point for a conversation with your printer, and confirm against a physical swatch book before a print run.

Structured Data Serialization

JSON represents data as key-value pairs and arrays, while XML uses tags and hierarchy trees. Standard APIs use both, and converting between them requires mapping attributes, parent arrays, and object properties correctly.

Fuel Economy Math

Miles per Gallon represents efficiency (higher is better), while Liters per 100km measures consumption (lower is better). US Gallons equal 3.785 liters, while UK Gallons equal 4.546 liters. Formulas: L/100km = 235.215 / MPG (US).

Unit Price Calculations

Unit pricing normalizes package costs to a standard base (e.g. 1 kilogram or 1 pound) to identify the best value. To compare, all units are converted to grams: Cost per gram = Price / Quantity in grams, which is then scaled back to cost per kilogram (g × 1000) or pound (g × 453.592).

CSS Font Units & Sizing

PX represents absolute physical screen pixels. EM and REM are relative units: 1 rem is equal to the root font-size (typically 16px). Points (pt) are traditional typography measurements where 1 inch contains 72pt (1pt = 1.333px).

CBM and Dimensional Weight Formulas

CBM (Cubic Meters) is computed as (L × W × H) / 1,000,000 (in cm) or (L × W × H) × 0.000016387 (in inches). Volumetric Weight represents the theoretical space weight, calculated by dividing volume in cm³ by the carrier divisor (usually 5000). The chargeable weight is the greater of actual weight and volumetric weight.

PDF Workspace Operations

Merging, splitting, rotating, watermarking, and optimizing all run locally in your browser, so those documents never leave your device. Text extraction is the one exception — it is performed by the conversion server. Note that optimizing re-saves the document structure and will not meaningfully shrink PDFs that are mostly scanned images.

That local-first split is worth knowing about when the document is sensitive. A contract, a payslip, a medical letter or an unreleased draft can be merged, split, rotated or watermarked here with no upload taking place at all — the file is read into memory, rewritten, and handed back as a download. Nothing is queued on a server and nothing needs deleting afterwards, because nothing arrived. Only text extraction leaves your machine, and if that matters for a particular file, copy the text out by hand instead.

A few behaviours commonly surprise people. Rotation changes how a page is displayed rather than re-drawing its content, so a rotated page keeps its original text flow and stays selectable. Merging preserves each source document's page size, meaning a mixed A4 and Letter set produces a file whose pages are not uniform — normalise beforehand if the result is going to a printer. Watermarks are drawn as a layer on top of the existing page, so they can be removed by anyone with a PDF editor; treat them as a clear marking of intent, not as a security control.

On optimizing: the gain comes from rewriting the file's internal structure and discarding unreferenced objects. A text-heavy document exported from a word processor often shrinks usefully. A scan is a stack of images, and images are already compressed, so expect little or no change — reducing a scan meaningfully means re-sampling the images themselves, which is a lossy operation this tool deliberately does not perform on your behalf.

Understanding Force Magnitudes

Force is the influence that can cause an object to change its velocity. The SI unit is the Newton (N), defined as 1 kg·m/s². Imperial measurements include the Pound-force (lbf) and Poundal (pdl), and CGS measurements use the Dyne (dyn).

Linear Acceleration Units

Acceleration measures the rate at which velocity changes over time. 1 G-Force represents the standard acceleration due to Earth's gravity (~9.80665 m/s²). The Gal is a CGS unit primarily used in geophysics to measure gravitational fields.

Mass Density Basics

Density is defined as mass per unit volume. Water has a density of approximately 1 g/cm³ (or 1000 kg/m³) at standard conditions. In customary systems, density is often expressed in pounds per cubic foot (lb/ft³).

What is Torque?

Torque is the rotational equivalent of linear force. It is the rotational force applied at a specific radial distance from an axis of rotation. The SI unit is the Newton-meter (N·m), and the customary US/UK unit is the pound-foot (lb·ft).

Voltage & Potential Difference

Voltage represents the electric potential difference per unit charge between two points. The standard unit is the Volt (V). Statvolt is the electrostatic unit (cgs-esu) where 1 statvolt is approximately equal to 299.792458 volts.

Electrical Resistance Explained

Electric resistance is a measure of the difficulty to pass an electric current through a conductor. The Ohm (Ω) is the SI unit. Statohm is an absolute electromagnetic unit, equal to ~8.98755e11 ohms.

Electric Charge & Battery Capacity

Electric charge represents the physical property of matter that causes it to experience a force in electromagnetic fields. The Coulomb (C) is the SI unit. Battery capacities are typically rated in milliampere-hours (mAh) or Ampere-hours (Ah), expressing total charge capacity over time.

What is Electrostatic Capacitance?

Capacitance is the capability of a component to collect and store energy in the form of an electrical charge. The Farad (F) is the SI unit, but practical capacitors in electronic circuits are measured in microfarads (µF), nanofarads (nF), or picofarads (pF).

Inductance in Electrical Circuits

Inductance is the property of an electrical conductor by which a change in current flowing through it induces an electromotive force. The Henry (H) is the standard SI unit, named after Joseph Henry.

What is Illuminance?

Illuminance measures the total luminous flux incident on a surface per unit area. Lux (lx) is the metric SI unit (1 lumen per square meter), while Foot-candle (fc) is the traditional non-SI unit (1 lumen per square foot). 1 Foot-candle ≈ 10.7639 Lux.

Decay vs. Absorbed Dose

Radioactive Activity measures how many atomic nuclei decay per second (SI unit: Becquerel, cgs: Curie). Absorbed Dose measures radiation energy deposited in matter (SI unit: Gray, traditional: rad). Equivalent Dose measures biological effect (SI unit: Sievert, traditional: rem). Note: Conversions between activity and dose quantities are not possible directly.

Apparel & Sizing Mappings

Sizes are charted using official shoe and apparel conversions. Note that brand-specific tailoring or manufacturer variations may exist, but these values represent standard industry conversion charts.

Computer Science Numeral Systems

Digital systems operate on binary code (0s and 1s). Decimal is standard base-10 human counting. Hexadecimal (base-16) and Octal (base-8) offer compact ways for programmers and engineers to represent raw binary byte streams. All four fields above are live at once: type into any one of them and the other three rewrite themselves, so you can work in whichever direction the problem arrives in.

Hexadecimal earns its place because the arithmetic lines up exactly. One hex digit covers four bits, so two digits describe one byte with nothing left over — which is why colours are written #FF8800, memory addresses appear as 0x7FFE, and a byte is read as a tidy pair rather than eight loose ones and zeros. Octal packs three bits per digit and now survives mainly in Unix file permissions, where 755 is really three sets of read, write and execute bits.

Conversion here runs on arbitrary-precision integers, so values far beyond the range of ordinary JavaScript numbers convert exactly — 64-bit identifiers, hashes and large bitmasks keep every digit instead of silently rounding once they pass about 9 quadrillion. Whole numbers only, positive or negative; fractional values and floating-point bit patterns are outside what this converter handles.

Cryptocurrency Conversion Guide

Cryptocurrency prices fluctuate in real-time based on supply, demand, and exchange liquidity. This converter utilizes the CoinConvert API to fetch live aggregated ticker updates from Binance, Bitfinex, Coinbase, and Kraken. Operations run strictly client-side over secure HTTPS tunnels.

Minecraft Color Codes Reference

About Runic Systems

Runes are characters belonging to alphabets used to write Germanic languages before the adoption of the Latin alphabet. The oldest version is the Elder Futhark (2nd to 8th centuries), containing 24 runes. During the Viking Age, this contracted into the 16 runes of the Younger Futhark, while Anglo-Saxon culture expanded it into 29+ runes of the Futhorc.

Choosing The Right QR Code Type

A QR code is only encoded text. What makes a phone offer to join a network, save a contact or open a message draft is the prefix that text carries, and that is what the type selector controls. Choose Wi-Fi Network Setup and the code carries a WIFI record a camera reads as credentials; choose Full Contact Details and it carries a vCard the phone offers to add to the address book. Encode the same information as plain text and the phone will simply show it as a string.

The practical difference between the two contact options is density. A full vCard holds name, organisation, title, phone, email, address and website, which produces a busy code that needs a clean print and a steady camera. The partial version keeps only the essentials, giving a sparser pattern that scans reliably at business-card size or from a screen across a desk. The same trade-off applies to the inventory and share-list types, which grow quickly as you add rows.

Three habits make the difference between a code that works and one that frustrates people. Keep the encoded content short, since every extra character adds modules and shrinks each one at a fixed print size — shorten a long URL before encoding it. Leave a clear quiet zone of empty space around the finished pattern, because readers use it to find the code's edges. Preserve strong dark-on-light contrast and avoid inverting the colours, which defeats many scanners outright. Print at roughly 2 cm across or larger for anything handheld, and test on more than one phone before committing a code to a label run.