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Resistor Color Code Calculator

Decode 4-band resistor color codes into Ohms with tolerance range.

Resistor Color Code Decoder (4-Band)

Resistance:
1 kΩ
Tolerance: ±5%
Range: 950 Ω – 1.05 kΩ

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Calculation Guide & Reference

Resistor Color Code Decoding Mathematics

Resistor color code calculator decodes 4-band resistor color bands into Ohms with tolerance range.

Standardized Mathematical Formula
Resistance = (10 × Band1 + Band2) × 10^Multiplier

The first two color bands each represent a digit (0-9); the third band is a power-of-10 multiplier applied to those two digits combined. The fourth band indicates the tolerance (± percentage) of the stated value.

Variables:
Band 1, 2:First and second significant digits
Band 3:Multiplier (power of 10)
Band 4:Tolerance percentage
How It Works (Step-by-Step)
  • 1Select the color of each of the 4 resistor bands.
  • 2View the decoded resistance in Ohms, tolerance, and min/max value range.
Real-World Numerical Example
Brown-Black-Red-Gold Bands

A resistor has bands: Brown (1), Black (0), Red (×100), Gold (±5%).

Digits: 1, 0 → 10.
Multiplier: ×100 (Red = 10²).
Resistance: 10 × 100 = 1,000 Ω (1 kΩ).
Result: The resistor is 1 kΩ ± 5%, ranging from 950 Ω to 1,050 Ω.

Frequently Asked Questions (FAQ)

As a multiplier (3rd band), gold means ×0.1 and silver means ×0.01 — used for resistors under 10 Ω.

A 5-band resistor uses three significant-digit bands instead of two (for higher precision), followed by a multiplier and tolerance band — common on precision resistors with tighter tolerances like ±1%.

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