How to Calculate the Value of a Resistor Using Colour Band Codes (4, 5, 6 bands)

Resistors are among the most fundamental components in electronics. Whether you are designing a circuit, troubleshooting a PCB, or teaching students about Ohm’s law, resistors are everywhere. But unlike capacitors or ICs that often have their values printed directly on them, resistors are usually marked with colour bands. These bands encode the resistance value, tolerance, and sometimes reliability or temperature coefficient.

Understanding resistor colour codes is essential for anyone working with electronics. In this blog, we’ll dive deep into how to calculate resistor values using 4-band, 5-band, and other variations, ensuring you don’t miss a single detail.

 

The Basics of Resistor Colour Codes

Resistor colour codes follow a standardized system. Each colour corresponds to a number, multiplier, or tolerance.

Here’s the master colour chart:

Colour

Digit Value

Multiplier

Tolerance

Black

0

×10⁰ (1)

Brown

1

×10¹ (10)

±1%

Red

2

×10² (100)

±2%

Orange

3

×10³ (1k)

Yellow

4

×10⁴ (10k)

Green

5

×10⁵ (100k)

±0.5%

Blue

6

×10⁶ (1M)

±0.25%

Violet

7

×10⁷ (10M)

±0.1%

Grey

8

×10⁸

±0.05%

White

9

×10⁹

Gold

×10¹ (0.1)

±5%

Silver

×10² (0.01)

±10%

None

±20%

 

 

How to Read Resistor Colour Bands

Resistors typically have 4, 5, or 6 bands. The number of bands determines how precise the resistor value is and how much information is encoded.

1. 4-Band Resistors (Most Common)

  • Band 1: First digit
  • Band 2: Second digit
  • Band 3: Multiplier
  • Band 4: Tolerance

 

Example: Colour bands: Red (2), Violet (7), Yellow (×10⁴), Gold (±5%)

Calculation:

27×10^4 = 270,000Ω = 270kΩ

Tolerance: ±5% → Actual value can range between 256.5kΩ and 283.5kΩ.

 

2. 5-Band Resistors (Precision Resistors)

  • Band 1: First digit
  • Band 2: Second digit
  • Band 3: Third digit
  • Band 4: Multiplier
  • Band 5: Tolerance

 

Example: Colour bands: Brown (1), Black (0), Black (0), Red (×10²), Brown (±1%) Calculation:

100 × 10^2 = 10,000Ω = 10kΩ

Tolerance: ±1% → Actual value between 9.9kΩ and 10.1kΩ.

 

3. 6-Band Resistors (High Precision + Temperature Coefficient)

  • Band 1: First digit
  • Band 2: Second digit
  • Band 3: Third digit
  • Band 4: Multiplier
  • Band 5: Tolerance
  • Band 6: Temperature coefficient (ppm/°C)

 

Temperature coefficient indicates how much the resistance changes with temperature. For example, Blue (10 ppm/°C) means resistance changes by 10 parts per million per degree Celsius.

 

Step-by-Step Method to Calculate Resistor Value

  1. Identify the number of bands (4, 5, or 6).
  2. Read from left to right (the tolerance band is usually spaced farther apart or metallic like gold/silver).
  3. Convert colours to digits using the chart.
  4. Apply the multiplier.
  5. Note the tolerance (and temperature coefficient if present).

 

Practical Examples

Example 1: 4-Band Resistor

Bands: Green, Blue, Red, Gold

  • Digits: 5 (Green), 6 (Blue) → 56
  • Multiplier: Red = ×100 → 5600Ω
  • Tolerance: Gold = ±5%

Final Value: 5.6kΩ ±5%

 

Example 2: 5-Band Resistor

Bands: Orange, Orange, Black, Brown, Brown

  • Digits: 3 (Orange), 3 (Orange), 0 (Black) → 330
  • Multiplier: Brown = ×10 → 3300Ω
  • Tolerance: Brown = ±1%

Final Value: 3.3kΩ ±1%

 

Example 3: 6-Band Resistor

Bands: Blue, Grey, Black, Red, Brown, Blue

  • Digits: 6 (Blue), 8 (Grey), 0 (Black) → 680
  • Multiplier: Red = ×100 → 68,000Ω
  • Tolerance: Brown = ±1%
  • Temp Coefficient: Blue = 10 ppm/°C

Final Value: 68kΩ ±1%, 10 ppm/°C

 

Special Cases

  • Zero Ohm Resistors: These are essentially wire links, often marked with a single black band.
  • High Precision Resistors: Often use 5 or 6 bands with tighter tolerances (±0.1%, ±0.05%).
  • Surface-Mount Resistors (SMD): These don’t use colour codes; instead, they have numerical codes like “472” (47 × 10² = 4700Ω).

 

Tips for Reading Resistor Codes

  • Orientation matters: The tolerance band (gold/silver) is usually spaced apart. Start reading from the opposite end.
  • Lighting helps: Colours can fade or look similar (red vs. orange, blue vs. violet). Use good lighting or a magnifier.
  • Double-check with a multimeter: Always verify resistor values with a digital multimeter, especially if colours are unclear.
  • Practice makes perfect: The more you decode, the faster you’ll recognize values instantly.

 

Why Different Band Systems Exist

  • 4-Band: Standard resistors with moderate tolerance (±5%, ±10%).
  • 5-Band: Precision resistors with tighter tolerance (±1%, ±0.5%).
  • 6-Band: High-precision resistors used in sensitive applications like instrumentation, where temperature stability matters.

 

Real-World Applications

  • Electronics Education: Teaching resistor codes is a staple in beginner electronics courses.
  • PCB Troubleshooting: Identifying burnt, or mismatched resistors quickly saves repair time.
  • Design & Prototyping: Choosing resistors with correct tolerance ensures circuit stability.
  • Industrial Automation: Precision resistors are critical in sensors, measurement devices, and control systems.

 

Mnemonics for Remembering Colour Codes

A popular mnemonic for digits 0–9:

 “BB ROY of Great Britain had a Very Good Wife”

  • Black (0), Brown (1), Red (2), Orange (3), Yellow (4), Green (5), Blue (6), Violet (7), Grey (8), White (9).

 

For tolerance:

  • Gold = ±5%, Silver = ±10%, None = ±20%.

 

Conclusion

Resistor colour codes may look intimidating at first, but once you understand the system, they become second nature. By mastering 4-band, 5-band, and 6-band resistor codes, you can quickly calculate resistance values, tolerances, and even temperature coefficients.

Whether you’re a student learning electronics, an engineer designing circuits, or a hobbyist tinkering with Arduino projects, knowing how to decode resistor colour bands is a skill you’ll use constantly. And remember — when in doubt, verify with a multimeter!