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Resistor Calculator

The Resistor Calculator is a free online tool that decodes resistor colour bands into a resistance value with tolerance, and works out the combined resistance of resistors wired in series or parallel. It shows the colour code chart and the nearest standard E-series value. No sign-up needed.

Colour Code to Resistance

Choose the bands as they appear on the resistor, left to right.

bands:

Series and Parallel Resistors

Enter resistances in ohms, separated by commas.

wired

Related: Ohms Law Calculator | Voltage Drop Calculator

Reading the Colour Code

Resistors are too small to print a number on reliably, so their value is encoded in coloured bands. Read them with the tolerance band — usually gold or silver, and set slightly apart — on the right.

BandsMeaning
4 bandDigit, digit, multiplier, tolerance
5 bandDigit, digit, digit, multiplier, tolerance
6 bandAs 5 band, plus a temperature coefficient

A four-band resistor coloured brown-black-red-gold reads 1, 0, ×100, ±5% — that is 1,000 Ω, or 1 kΩ, with a tolerance of 5%.

The Colour Chart

ColourDigitMultiplierTolerance
Black0×1
Brown1×10±1%
Red2×100±2%
Orange3×1 k
Yellow4×10 k
Green5×100 k±0.5%
Blue6×1 M±0.25%
Violet7×10 M±0.1%
Grey8×100 M±0.05%
White9×1 G
Gold×0.1±5%
Silver×0.01±10%
None±20%

Which End to Start From

Getting the direction wrong is the classic mistake — brown-black-red is 1 kΩ, but read backwards, red-black-brown is 200 Ω. Three clues resolve it:

  • The tolerance band is gold or silver on most resistors, and those colours never appear as the first digit.
  • The tolerance band usually sits with a wider gap before it.
  • A resistor never starts with black — a leading zero would be meaningless.

Series and Parallel

Series: Rtotal = R1 + R2 + R3 + …
Parallel: 1 ÷ Rtotal = 1/R1 + 1/R2 + 1/R3 + …

Series always increases total resistance; parallel always decreases it, and the total is always lower than the smallest resistor in the group. Two equal resistors in parallel give exactly half the value — a useful trick when you need a value you do not have.

CombinationSeriesParallel
Two 100 Ω200 Ω50 Ω
Two 1 kΩ2 kΩ500 Ω
100 Ω and 200 Ω300 Ω66.7 Ω
Three 330 Ω990 Ω110 Ω

Standard Values: the E Series

Resistors are not made in every value. They follow logarithmic series chosen so that, at a given tolerance, every possible value falls within one part's range.

SeriesValues per decadeTolerance
E66±20%
E1212±10%
E2424±5%
E9696±1%

The E24 series runs 1.0, 1.1, 1.2, 1.3, 1.5, 1.6, 1.8, 2.0, 2.2, 2.4, 2.7, 3.0, 3.3, 3.6, 3.9, 4.3, 4.7, 5.1, 5.6, 6.2, 6.8, 7.5, 8.2, 9.1 — which is why 4.7 kΩ and 2.2 kΩ appear everywhere while 5 kΩ is unusual.

Power Rating

Colour bands encode resistance, not power. Power capacity is set by physical size, and exceeding it burns the part.

RatingTypical body lengthCommon use
1/8 W3 mmDense signal circuits
1/4 W6 mmThe general-purpose default
1/2 W9 mmModerate loads
1 W12 mmPower supplies
5 W and aboveCeramic bodiedCurrent sensing, dummy loads

Check with P = I2R, and derate: run a resistor at no more than about half its rating for reliability, and less still in an enclosed or hot space.

Frequently Asked Questions

What does a resistor with no fourth band mean?

±20% tolerance. These are rare in modern equipment; almost everything is now 5% or 1%.

Why is the body of some resistors blue rather than beige?

Blue usually indicates a metal film type, typically 1% tolerance and five bands. Beige or tan is normally carbon film at 5% with four bands.

How do I get a value I do not have?

Combine what you have. Two 1 kΩ in series give 2 kΩ; two in parallel give 500 Ω. Check the power rating of the combination as well as the value.

Do SMD resistors use colour codes?

No, they use printed numbers. A three-digit code such as 472 means 47 × 102 = 4.7 kΩ; four digits work the same way with three significant figures.