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Resistor Color Code Calculator

Decode resistor color bands to resistance value and tolerance. Supports 4-band, 5-band, and 6-band resistors. Instant color band to ohms conversion.

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Formula

R = (10 \cdot d_1 + d_2) \times 10^n

d₁,d₂First and second digit bands
nMultiplier exponent

How It Works

The resistor color code is a standardized method of encoding electrical resistance values using colored bands on resistor bodies. Developed in the mid-20th century, this system allows quick identification of resistance, tolerance, and reliability without requiring direct measurement. Each color represents a specific numerical value or multiplier, with the first two bands indicating the significant digits and the third band determining the decimal placement. Colors are arranged in a precise sequence: brown, red, orange, yellow, green, blue, violet, gray, white, and black, corresponding to digits 0-9. The code enables engineers and technicians to rapidly identify component specifications in complex electronic assemblies, supporting rapid prototyping and troubleshooting in both analog and digital circuits.

Worked Example

Consider a resistor with color bands: Brown-Black-Red-Gold. Decoding this: Brown (1) and Black (0) represent the first two digits as 10. Red indicates a multiplier of 10^2 (100). Gold indicates ±5% tolerance. Calculating the value: (1×10 + 0) × 100 = 1000 Ω or 1 kΩ, with a tolerance of ±5%. In a practical circuit like an LED current-limiting resistor, this 1 kΩ resistor would allow precise current control while maintaining a tight manufacturing tolerance.

Practical Tips

  • Always verify color bands under good lighting
  • Use a magnifying glass for precise color identification
  • Cross-reference with a reliable color code chart

Common Mistakes

  • Misreading band sequence leading to incorrect resistance calculation
  • Confusing tolerance bands with multiplier bands
  • Not accounting for temperature coefficient in precision applications

Frequently Asked Questions

How many bands are typically used?

Standard resistors use 4-5 color bands. Four-band resistors have two significant digits, a multiplier, and a tolerance. Five-band resistors add an additional significant digit.

What does a gold tolerance band mean?

A gold tolerance band indicates ±5% variation from the nominal resistance value, which is suitable for many general electronic applications.

Can I determine resistance without a color code calculator?

Experienced engineers can memorize color codes, but a calculator or reference chart is recommended for accuracy, especially with complex multi-band resistors.

Do all resistors use color coding?

Surface-mount resistors typically use numerical codes instead of color bands. Through-hole resistors most commonly use the color code system.

How precise are resistor color codes?

Tolerance ranges from ±1% (precision) to ±20% (general purpose), depending on the color bands and manufacturing process.

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