Converters General

Unit converter

1 m = 3.2808 ft
Every unit at once
Local · exact definitions; US spoons and cups

Pick one of eleven categories — length, weight, temperature, volume, area, speed, energy, power, pressure, data or time — type a number, and every unit in that category is converted at once. That is deliberately more than you asked for. The second question is usually another unit in the same family, and the arithmetic is already done.

How to convert units

1 Choose the category; length, weight, temperature, pressure, data and so on.
2 Type your number and pick the unit it is in.
3 Read the pair at the top, or tap any row in the table to make that the headline result.
4 Swap the two units if you had them the wrong way round.

The factors here are the exact legal definitions and not rounded approximations, which matters more than it sounds for anything that compounds. The inch has been exactly 25.4 millimetres since the international agreement of 1959, and the pound exactly 0.45359237 kilograms, so a chain of conversions through several units does not accumulate error along the way.

Temperature is the one that needs an offset

It is the only category here whose scales do not share a zero point. Celsius to Fahrenheit is a multiplication by 9/5 followed by an addition of 32, and a converter built on factors alone gets it silently and badly wrong. The two scales cross at exactly −40, the single temperature at which both read the same number. A temperature difference is a separate case again and takes the factor with no offset, so a rise of 10 °C is a rise of 18 °F. Kelvin and Rankine both count from absolute zero, the first in Celsius-sized degrees and the second in Fahrenheit-sized ones; kelvin carries no degree symbol and no capital, having been redefined that way in 1967.

Every other category has its own trap

Each one is a separate row here, so the choice stays with you instead of being made on your behalf.

Data carries two whole systems. The gigabyte a drive manufacturer sells is 10⁹ bytes; the gibibyte Windows counts while still writing "GB" is 2³⁰, about 7.4 per cent more. Binary sizes exist because memory addressing is binary, which makes powers of two the natural quantities, and "kilo" was borrowed loosely for 1,024 until the habit stuck. macOS has used the SI meaning since 10.6, so the same drive honestly reports two different sizes on the two systems.

Power carries two horsepowers. Mechanical horsepower was defined as 550 ft·lbf/s and works out at about 745.7 W; metric horsepower was defined as 75 kgf·m/s, comes to about 735.5 W and is sold as PS. Neither convention gave way, so a PS figure is roughly 1.4 per cent smaller than the same number written as bhp. Energy carries the BTU, which has several definitions; the international table BTU of about 1,055 joules is the one used here. An air conditioner labelled 12,000 BTU means BTU per hour, a power rating of about 3.5 kW, or one ton of cooling.

Volume has two gallons about twenty per cent apart, and a cup that means three different things: a US cup is about 237 ml, a metric cup exactly 250 and a Japanese cup 200, and a recipe rarely says which it meant. The rows here are the US customary ones — for the cup and for the spoons alike — because a recipe written in cups is almost always American; for a metric or Japanese cup, work from millilitres. The fluid ounce is the trap inside that trap, because it differs in the opposite direction to the gallon: an imperial fluid ounce is slightly smaller than a US one, about 28.4 ml against 29.6, and yet an imperial pint is the larger of the two, because it holds twenty of them against the US sixteen. Speed carries the knot, one nautical mile per hour, about 1.15 mph or 1.85 km/h; it survives because a nautical mile is one minute of latitude, so a speed in knots maps straight onto a chart. Pressure carries mmHg, a survival of the mercury manometer that medicine never gave up, and the gap between gauge and absolute readings. Area is where the arithmetic itself surprises people: the factor is squared, so a foot of 0.3048 m becomes a square foot of 0.0929 m². The acre stays awkward for a different reason, having begun as the area a yoke of oxen could plough in a day before settling at 4,840 square yards, which fits nothing metric.

What people use it for

  • Converting Celsius to Fahrenheit for a recipe or a forecast
  • Turning litres into US or imperial gallons
  • Reading a floor plan in square feet as square metres
  • Checking a car’s kW figure against its horsepower
  • Converting tyre pressure between bar and psi
  • Reading a speed limit in km/h as mph
  • Comparing an electricity bill in kWh against joules or BTU
  • Working out why a 1 TB drive shows as 931 GB

Questions

Minus forty. It is the only point where the two scales cross, which makes it the one reading that needs no conversion at all.

NIST: guide for the use of the International System of UnitsBIPM; the International System of Units (SI)NIST; prefixes for binary multiples
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