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The formula

Axial through-hole resistors encode value with colored bands (IEC 60062). Digits form a significand; the next band is a decade multiplier; a following band is tolerance; an optional sixth band is the temperature coefficient in ppm/K. Read bands starting at the end opposite the tolerance (or TCR) mark.

R = (digit significand) × (multiplier) · tolerance ±% · TCR ppm/K

Worked example

  1. 4-band: brown, black, red, gold
  2. Digits 1 and 0 → 10; red multiplier ×100 → 1,000 Ω
  3. Gold tolerance → ±5% (950 Ω – 1,050 Ω)

Result: 1 kΩ ±5%

How resistor color codes are decoded

Choose 4, 5, or 6 bands, set each color, and we apply the standard digit, multiplier, tolerance, and TCR tables. Results use engineering prefixes (Ω, kΩ, MΩ, GΩ) for readability.

Four-, five-, and six-band layouts

Four bands: two digits, multiplier, tolerance (common carbon-film parts, often ±5% gold). Five bands: three digits, multiplier, tolerance (typical metal-film ±1% or better). Six bands add a TCR band after tolerance for precision resistors.

Digit, multiplier, and tolerance colors

Digits run black=0 through white=9. Multipliers reuse those colors as powers of ten, plus gold×0.1 and silver×0.01. Common tolerances include brown ±1%, red ±2%, green ±0.5%, blue ±0.25%, violet ±0.1%, gold ±5%, silver ±10%, and no band ±20%.

Reading direction

Start at the end with bands packed closer to the lead, away from a wider gap before the tolerance (and TCR) band. Gold or silver near one end almost always marks tolerance or a fractional multiplier — never a first digit.

What we do not model

No power rating, body size, failure modes, or non-IEC specialty markings (military three-digit codes, SMD numeric codes). Always confirm critical values with a multimeter.

Interesting facts

IEC 60062 is the reference

The International Electrotechnical Commission standard IEC 60062 defines letter/digit and color marking for resistors and capacitors. Color-band calculators map that table into ohms and percent tolerance.

E-series preferred values

Manufacturers stock values from E6, E12, E24, E96 (and denser) preferred-number series so a decoded “47 kΩ” matches a real catalog part rather than an arbitrary number.

Why gold and silver appear

Gold and silver are reserved for multipliers and tolerances — they are not digit colors — which is why a gold band near the end is read as ±5% (or ×0.1 when it is the multiplier on a four-band part).

TCR in ppm per kelvin

A sixth band states how much resistance drifts with temperature (e.g. brown = 100 ppm/K). That matters in precision analog circuits more than in ordinary LED current-limiting.

Frequently asked questions

Read two digit bands, then the multiplier, then tolerance. Example: brown-black-red-gold → 10 × 100 = 1,000 Ω with ±5% tolerance.

Five-band parts add a third significant digit for finer values (often E96), then multiplier and tolerance. Four-band parts use only two significant digits.

As the last (tolerance) band it means ±5%. As the multiplier on a four-band resistor it means ×0.1. Gold is never a digit color.

Begin at the end where colored bands sit closer together. The tolerance band (often gold or silver) is separated by a wider gap and sits nearer the other lead.

It is the temperature coefficient of resistance (TCR) in ppm/K — how much the value changes per degree. Select “6 bands” in this calculator to include it.

No. Chip resistors use numeric or EIA-96 codes printed on the body, not axial color bands. Use a dedicated SMD decoder or the datasheet marking guide.

Tolerance allows a spread around nominal, aging and heat shift real parts, and misreading band order is common. Trust a calibrated meter for circuit troubleshooting.

Black (0) is unusual as a leading digit on real parts; brown through white (1–9) are typical. This tool still accepts black so you can explore the full table.

References

  1. IEC 60062 — Marking codes for resistors and capacitors — International Electrotechnical Commission (IEC) International standard that defines resistor color and letter/digit marking.
  2. NIST Guide to the SI — National Institute of Standards and Technology (NIST) SI treatment of the ohm and related electrical units.
  3. OpenStax College Physics — Resistance and resistors — OpenStax / Rice University Introductory physics chapter on resistance and Ohm’s law context.

Educational decoding aid aligned with common IEC 60062 color tables — verify critical components by measurement and manufacturer datasheets.

Last reviewed: 2026-09-12 — Reviewed by: Editorial Team

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