📊 Electrical Engineering

Resistor Color Code Calculator

Decode axial leaded resistors with an interactive graphical color band selector. Instant tolerance calculation and minimum/maximum ohm bounds.

🎨 4-Band & 5-Band Color Decoders
Decoded Resistance Standard Value
Nominal Resistance Value
47 kΩ
Raw Resistance in Ohms
47,000 Ω
Tolerance Rating
±5% (Gold)
Minimum Guaranteed
44,650 Ω
Maximum Guaranteed
49,350 Ω
💡 Direct Answer & Quick Summary

The Electronic Industries Alliance (EIA-RS-279) color code indicates resistance and tolerance on leaded axial resistors. In a standard 4-band resistor:

  • Band 1 & 2: Significant digits (0 = Black, 1 = Brown, 2 = Red, 3 = Orange, 4 = Yellow, 5 = Green, 6 = Blue, 7 = Violet, 8 = Gray, 9 = White).
  • Band 3: Decimal multiplier (power of 10).
  • Band 4: Tolerance percentage (Gold = ±5%, Silver = ±10%, Brown = ±1%).
🛡️ Standards & Methodology Verification E-E-A-T Verified: EIA-RS-279 / IEC 60062 Resistor Marking Standards
Standard CodeEIA-RS-279 & IEC 60062 Color Coding Standards
Band Configurations4-Band (General) and 5-Band (Precision ±1%, ±0.5%)
Multiplier Range10⁻² (Silver) up to 10⁹ (White)
Verification MethodCross-checked against Vishay & Bourns standard resistor charts

EIA Standard Color Mnemonic

Electrical engineers and students recall the sequence via the classic mnemonic: "Bad Boys Rip Our Young Girls But Violet Gives Willingly" (Black, Brown, Red, Orange, Yellow, Green, Blue, Violet, Gray, White).

Complete Resistor Color Band Table

ColorDigitMultiplierTolerance
Black0×1 (10⁰),
Brown1×10 (10¹)±1%
Red2×100 (10²)±2%
Orange3×1,000 (10³),
Yellow4×10,000 (10⁴),
Green5×100,000 (10⁵)±0.5%
Blue6×1,000,000 (10⁶)±0.25%
Violet7×10,000,000 (10⁷)±0.1%
Gray8, ±0.05%
White9, ,
Gold, ×0.1±5%
Silver, ×0.01±10%

4-Band vs 5-Band Precision Resistors

Standard carbon-film resistors use 4 bands. Precision metal-film resistors feature 5 bands: 3 significant digits, 1 multiplier band, and 1 tolerance band, allowing 1% and 0.1% precision in audio, medical, and aerospace electronics.

📐 Electronics Prototyping: 5-Band Precision Bias Resistor Decoding

Real-World Engineering Problem
Step 1: Identify Band Sequence for 5-Band Resistor
1st Band: Brown (1) 2nd Band: Green (5) 3rd Band: Black (0) Multiplier: Orange (1,000) Tolerance: Brown (±1%)

A high-precision analog operational amplifier circuit requires decoding a 5-band metal film axial resistor.

Step 2: Read Significant Digits and Multiplier
\[ \text{Digits: 1, 5, 0} \implies 150 \times 10^3\ \Omega = 150{,}000\ \Omega\ (150\text{ k}\Omega) \]

Combining significant digits yields 150. Multiplying by 10³ gives 150,000 Ohms (150 kΩ).

Step 3: Calculate Tolerance Range Boundaries (±1%)
\[ R_{min} = 150\text{ k}\Omega - 1\% = 148.5\text{ k}\Omega,\quad R_{max} = 150\text{ k}\Omega + 1\% = 151.5\text{ k}\Omega \]

The manufactured resistor is certified to measure strictly between 148.5 kΩ and 151.5 kΩ.

Step 4: Check Operational Power Rating and Thermal Dissipation
\[ P = \frac{V^2}{R} = \frac{15^2}{150{,}000} = 0.0015\text{ W}\ (1.5\text{ mW}) \ll 0.25\text{ W} \]

With 15V across the resistor, heat dissipation is 1.5 mW, well below a standard 1/4-Watt resistor limit. Compute circuit voltages and currents with our Ohm's Law Calculator or visit our Electrical Engineering Hub.

✅ Verified Engineering Outcome: Decoded Value: 150 kΩ ±1% | Certified Range: 148.5 kΩ to 151.5 kΩ | Safe for 1/4W Operation.

Standard Color-Code Band Decoding & Standard EIA Decade Values

The electronic resistor color-coding system, standardized under IEC 60062 and EIA-RS-279, provides an unambiguous optical marking scheme to identify the nominal resistance value, manufacturing tolerance, and temperature coefficient of leaded axial passive components without requiring micro-text printing.

Decoding 4-Band, 5-Band, and 6-Band Color Resistors

Axial through-hole resistors employ three standardized band formats:

  • 4-Band Resistors (Standard Tolerance $\pm 5\% - 10\%$):
    • Band 1: First significant digit (0 to 9).
    • Band 2: Second significant digit (0 to 9).
    • Band 3: Multiplier ($10^n$, including Gold = $0.1$ and Silver = $0.01$).
    • Band 4: Tolerance ($\pm\%$, Gold = $5\%$, Silver = $10\%$).
  • 5-Band Resistors (Precision Tolerance $\pm 0.5\% - 2\%$): Three significant digits, followed by multiplier and tolerance bands, yielding higher numerical precision.
  • 6-Band Resistors (High-Stability & Military): Five standard precision bands plus a 6th band indicating the Temperature Coefficient of Resistance (TCR) expressed in parts per million per Kelvin ($ppm/\text{K}$).

Standard EIA Decade Series (E12, E24, E96, E192)

Resistor values are not manufactured at random intervals. Instead, standard component values conform to geometrically spaced logarithmic decades defined by the Renard Series ($R_n = 10^{k/N}$), ensuring that adjacent values within their tolerance envelopes cover the entire spectrum without wasteful overlap:

$$\text{Value Step Multiplier} = \sqrt[N]{10}$$

For the $E12$ series ($10\%$ tolerance), $N = 12$, producing the twelve canonical base values: $10, 12, 15, 18, 22, 27, 33, 39, 47, 56, 68, 82$. The $E96$ series ($1\%$ precision) features $96$ logarithmically spaced base values across each decade.

Color Band Significant Digit Multiplier ($10^n$) Tolerance Band 6th Band TCR (ppm/K)
Black 0 $10^0 = 1\ \Omega$ -- $250\text{ ppm/K}$
Brown 1 $10^1 = 10\ \Omega$ $\pm 1\%$ (F) $100\text{ ppm/K}$
Red 2 $10^2 = 100\ \Omega$ $\pm 2\%$ (G) $50\text{ ppm/K}$
Orange 3 $10^3 = 1\text{ k}\Omega$ $\pm 0.05\%$ $15\text{ ppm/K}$
Yellow 4 $10^4 = 10\text{ k}\Omega$ -- $25\text{ ppm/K}$
Green 5 $10^5 = 100\text{ k}\Omega$ $\pm 0.5\%$ (D) $20\text{ ppm/K}$
Blue 6 $10^6 = 1\text{ M}\Omega$ $\pm 0.25\%$ (C) $10\text{ ppm/K}$
Violet 7 $10^7 = 10\text{ M}\Omega$ $\pm 0.1\%$ (B) $5\text{ ppm/K}$
Gold -- $10^{-1} = 0.1\ \Omega$ $\pm 5\%$ (J) --
Silver -- $10^{-2} = 0.01\ \Omega$ $\pm 10\%$ (K) --

Frequently Asked Questions

How do I tell which end of a resistor to read first?
Look for a wider gap: the tolerance band (gold, silver, or brown) is separated by a noticeably larger spacing from the other bands. Additionally, gold and silver bands rarely appear as first significant digits, indicating they mark the tail end.
What is the difference between 4-band and 5-band resistors?
A 4-band resistor has two significant digits, a multiplier, and a tolerance band (typically ±5% or ±10%). A 5-band resistor provides three significant digits, a multiplier, and a tighter tolerance band (±1% or ±0.5%), offering superior accuracy for precision electronics.
What does the 6th band represent on a 6-band resistor?
The sixth band designates the Temperature Coefficient of Resistance (TCR), expressed in parts per million per Kelvin (ppm/K). It indicates how much the resistance drifts as operating temperature changes (e.g., brown = 100 ppm/K, red = 50 ppm/K).
Why are resistor values standardized into E-series (E12, E24, E96)?
Standard resistors follow logarithmic E-series (IEC 60063). In the E12 series (±10% tolerance), there are 12 values per decade (10, 12, 15, 18, 22...) engineered such that each value's tolerance band overlaps with the next, eliminating manufacturing value gaps.