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).

Secure Image Transcoding & Conversion

Convert modern and standard image formats including HEIC to JPG/PNG and PNG/JPG to WebP. Standard web image formats (PNG, JPG, WebP) are processed 100% locally in your browser for absolute privacy and zero upload lag.

High-Performance Media Transcoding

Convert and extract streams from video containers. Supports converting MP4 to MP3 audio, WebM to MP4, and MOV to MP4. Powered by robust FFmpeg-based transcoding protocols to ensure high-fidelity output streams.

Professional Document Translations

Convert business and data documents. Translate PDF to Word (DOCX) using structural flow extraction, or convert CSV to JSON natively in the browser. Absolute data privacy is guaranteed for all local conversions.

Ebook Compatibility & Reader Conversions

Prepare ebooks for your digital reader devices. Easily convert EPUB files to MOBI for Kindle compatibility or export to standard PDF formats for simple desktop reading.

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.

Currency Conversion & Multiple APIs

This currency converter integrates keyless Multiple APIs to retrieve reference exchange rates sourced from the European Central Bank (ECB) and other major financial institutions. For reliability and offline PWA capability, UnitSwitch caches fetched rates and runs on local baseline configurations if network connectivity is unavailable.

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.

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%). CMYK represents print subtractive inks: Cyan, Magenta, Yellow, and Key (Black).

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.

Client-Side PDF Document Processing

UnitsSwitch uses the robust pdf-lib package loaded locally in your browser to perform actual PDF merge and splitting tasks. All assembly, parsing, and serialization run strictly on your CPU cores, ensuring full confidentiality and enabling execution when completely offline.

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.

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.