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Resistor colour code calculator, reading and lookup

A 4 or 5 band code to its value, or the bands of a wanted value, projected onto the normalised E24 or E96 series.

Parameters

In ohms: 4700 for 4.7 kΩ. From 0.1 Ω to 9.99 GΩ.

Result

Bands to look for

Yellow – Violet – Red – Gold

Normalised value
4.7 kΩ
Guaranteed real value
between 4.465 kΩ and 4.935 kΩ
reading direction47×100± 5%= 4.7 kΩ
Note

Look for Yellow – Violet – Red – Gold: that is a 4.7 kΩ.

Calculation, assumptions and sources

OverviewThe colour code both ways round: from the bands of a resistor to its value and tolerance interval, or from a wanted value to the bands to look for in the drawer.

The colour code both ways round: from the bands of a resistor to its value and tolerance interval, or from a wanted value to the bands to look for in the drawer. The requested value is projected onto the normalised series of its tolerance (E24 for 5%, E96 for 1%): for 5,000 Ω, the value proposed is 5.1 kΩ, with the gap. When both reading directions are plausible, the ambiguity is flagged.

Method & formulas4 bands: digit, digit, multiplier, tolerance
4 bands: digit, digit, multiplier, tolerance5 bands: digit, digit, digit, multiplier, tolerancevalue = digits × 10^multipliergold = ±5%, brown = ±1%, silver = ±10%

Each colour carries a digit from 0 (black) to 9 (white); the second-to-last band is a power of ten, the last one the tolerance. Gold and silver carry no digit: they only occupy the multiplier (dividing by 10 or 100) or the tolerance, never the first position.

Tolerance
the gap the manufacturer guarantees: a 1 kΩ at 5% really sits between 950 and 1,050 Ω.
E24 series
24 normalised values per decade (1.0, 1.1, 1.2… 9.1), about 10% apart, those of 5% resistors.
E96 series
96 values per decade, three significant figures, about 2.4% apart, those of the 1%.
Decade
a factor of 10: the series repeat identically from 1 Ω to 10 Ω, 10 to 100, and so on.
Validity domainThe code covers through-hole resistors with 4 and 5 bands per IEC 60062, from 0.1 Ω to 9.99 GΩ.

The code covers through-hole resistors with 4 and 5 bands per IEC 60062, from 0.1 Ω to 9.99 GΩ. Six-band codes add a temperature coefficient, not handled; surface-mount parts carry numeric marking. The tolerance band is read on the right. When both directions each give a plausible value, both are shown; the value outside the normalised series is almost always the backwards reading.

Reading the resultThe IEC 60063 series are geometric: the tolerance intervals of two neighbouring values just overlap.

The IEC 60063 series are geometric: the tolerance intervals of two neighbouring values just overlap. A requested value outside the series is brought to the closest one in relative terms.