To calculate resistance by colour code, you decode the painted bands using the globally recognized IEC 60062 standard. There is no regional variation for through-hole resistor bands; a brown-black-red-gold resistor reads as 1kΩ whether you are in London, Tokyo, or Chicago. Below is the master reference chart to decode any 4-band or 5-band component on your bench.

The IEC 60062 Resistor Colour Code Reference Table

Read this table left-to-right for 4-band resistors (Digit 1, Digit 2, Multiplier, Tolerance). For 5-band precision resistors (1% or better), read Digit 1, Digit 2, Digit 3, Multiplier, Tolerance.

Colour Significant Digit (1st/2nd/3rd Band) Multiplier (Value × 10^n) Tolerance (Final Band) Temp. Coeff. (6th Band)
Black0×1 (10^0)250 ppm/°C
Brown1×10 (10^1)±1% (F)100 ppm/°C
Red2×100 (10^2)±2% (G)50 ppm/°C
Orange3×1k (10^3)15 ppm/°C
Yellow4×10k (10^4)25 ppm/°C
Green5×100k (10^5)±0.5% (D)
Blue6×1M (10^6)±0.25% (C)10 ppm/°C
Violet7×10M (10^7)±0.1% (B)5 ppm/°C
Grey8±0.05% (A)
White9
Gold×0.1 (10^-1)±5% (J)
Silver×0.01 (10^-2)±10% (K)

Rows and Bands People Get Wrong

Even experienced makers misread specific edge cases on the IEC 60062 chart. Watch for these common traps:

Warning: The Black Multiplier Trap
When black appears as the multiplier band (the third band on a 4-band resistor), it means 10^0, which equals 1. A brown-black-black-gold resistor is 10 × 1 = 10Ω, not 0Ω. (A true 0Ω jumper resistor typically has a single black band in the center of the body).
  • Gold and Silver Multipliers: These are used for values under 10Ω. A red-red-gold-gold resistor is 22 × 0.1 = 2.2Ω (±5%). A green-blue-silver-gold is 56 × 0.01 = 0.56Ω.
  • Reading Direction: Always start from the end closest to a band. The tolerance band (usually gold or silver) is often spaced slightly further apart from the significant digits. If spacing is ambiguous, look for the tolerance color: gold and silver are never used as significant digits, so they must be the final band.
  • Temperature Coefficient (6th Band): Found only on high-precision 5-band resistors. A brown 6th band means 100 ppm/°C. This tells you how much the resistance drifts per degree Celsius of temperature change, critical for precision analog front-ends and current shunts.

Standard Variants: Component Codes vs. Wiring Codes

A critical bench hazard occurs when makers confuse IEC 60062 component bands with regional mains wiring codes. While resistor bands are universally IEC 60062, wire insulation colors vary wildly by region.

Colour IEC 60062 (Resistors - Global) IEC 60446 (EU/UK/AU Wiring) NEC (US/Canada Wiring) Old UK BS 7671 (Pre-2004)
Green / Yellow 5 / 4 (Digits) Protective Earth (Ground) Equipment Ground Protective Earth
Brown 1 (Digit) / ±1% (Tol) Line (Live / Hot) Hot (in some 277/480V) Line (Live)
Blue 6 (Digit) / ±0.25% (Tol) Neutral Neutral (in DC systems) Neutral
Black 0 (Digit) / ×1 (Mult) Line (Phase 2 in 3-phase) Hot (120V/240V Standard) Neutral (Old 2-wire)
SMD Variant (EIA-96): If you are working with surface-mount 1% resistors, IEC 60062 colour bands do not apply. Look for the EIA-96 3-character code (e.g., '01A'). The first two digits are a lookup code (01 = 100), and the letter is the multiplier (A = ×1, B = ×10, C = ×100). '01A' = 100Ω.

Decision Path: Faded, Missing, or Ambiguous Markings

Never guess a resistor value if the paint is degraded, burnt, or ambiguous. Guessing a bias resistor value in a tube amplifier or a current-limiting resistor in an LED driver can result in catastrophic component failure. Use this decision tree to determine your next step.

Symptom / Condition Action Required Final Tool / Concrete Pick
Bands are crisp, intact, and spaced clearly Read visually using the IEC 60062 chart above. Visual decode (No tool needed)
Bands are faded, scratched, or ambiguous Desolder one leg to isolate from the circuit, then measure. Digital Multimeter (e.g., Fluke 117) on lowest Ω range
Resistor is soldered in-circuit and you cannot desolder Measure in-circuit, but only accept the reading if it matches a standard E24/E96 value. If it reads lower, parallel paths are skewing the result. DMM (Note: In-circuit reading is a maximum bound)
Body is blistered, blackened, or smells burnt Do not measure. The carbon film or metal oxide layer has likely fractured or carbonized, altering the value permanently. Discard and replace (Check schematic for original value)

Worked Calculation and Bench Verification

Let's run through two concrete examples to solidify the math, followed by the correct bench procedure for verifying them with a multimeter.

Example 1: 4-Band Standard Tolerance

Bands: Yellow - Violet - Orange - Gold

  • Digit 1 (Yellow): 4
  • Digit 2 (Violet): 7
  • Multiplier (Orange): ×1,000 (10^3)
  • Tolerance (Gold): ±5%
  • Calculation: 47 × 1,000 = 47,000Ω = 47kΩ.
  • Acceptable Range: 44.65kΩ to 49.35kΩ.

Example 2: 5-Band Precision

Bands: Red - Red - Black - Brown - Brown

  • Digit 1 (Red): 2
  • Digit 2 (Red): 2
  • Digit 3 (Black): 0
  • Multiplier (Brown): ×10 (10^1)
  • Tolerance (Brown): ±1%
  • Calculation: 220 × 10 = 2,200Ω = 2.2kΩ.
  • Acceptable Range: 2.178kΩ to 2.222kΩ.

Bench Verification Protocol

When verifying these values on the bench with a digital multimeter, follow this sequence to ensure accuracy:

  1. Zero the leads: Touch the probes together. Note the lead resistance (usually 0.1Ω to 0.3Ω). Subtract this from your final reading if measuring resistors under 10Ω.
  2. Isolate the component: If measuring in-circuit, ensure all power is off and large capacitors are discharged. Be aware that semiconductor junctions and parallel resistors will yield a falsely low reading.
  3. Select the correct range: If your DMM is not auto-ranging, select the range just above the expected value (e.g., use the 20kΩ range for a 4.7kΩ resistor) to maximize ADC resolution.
  4. Avoid skin contact: Do not pinch the metal probe tips and the resistor leads with your bare fingers simultaneously. Your body's resistance (typically 10kΩ to 100kΩ depending on skin moisture) will form a parallel circuit, skewing high-value resistor measurements.

For a comprehensive interactive breakdown of edge cases and SMD codes, the All About Circuits resistor calculator remains an excellent bench reference to cross-check your manual IEC 60062 math before soldering.