How to Calculate Resistor Color Code — Step-by-Step Guide

Calculating Resistor Color Code is straightforward when you know the formula. This page walks through each step, shows a worked example, and lets you verify your own numbers with our calculator.

Inputs

Results

Nominal Resistance
100.00Ω
Minimum Resistance
95.00Ω
Maximum Resistance
105.00Ω

Tolerance Window

Resistance (Ω)

Understanding Resistor Color Codes: Reading Resistor Values

Resistor color codes are a standardized system for marking the resistance value and tolerance of resistors using colored bands. Each color represents a digit or multiplier, allowing the resistance to be read visually without measurement. Standard resistors use 4 bands; precision resistors use 5 or 6 bands. Understanding resistor color codes is essential for electronics work, circuit building, and troubleshooting. Whether you're building circuits, repairing electronics, or studying electrical engineering, mastering resistor color codes helps you quickly identify component values and select the right resistors for your projects.

Examples

Reading Resistor Color Codes

Resistor color codes let you read resistance values visually. Each colored band represents a digit or multiplier. The standard color sequence is: Black=0, Brown=1, Red=2, Orange=3, Yellow=4, Green=5, Blue=6, Violet=7, Gray=8, White=9.

For a 4-band resistor, read from the end where bands are closer together. Example: Brown-Black-Red-Gold. Brown=1, Black=0, so the digits are '10'. Red multiplier means ×100. Gold tolerance means ±5%. Result: 10 × 100 = 1000Ω = 1kΩ ± 5%.

5-band precision resistors add a third digit. Example: Brown-Black-Black-Brown-Brown. First three bands: 1-0-0 = '100'. Brown multiplier = ×10. Brown tolerance = ±1%. Result: 100 × 10 = 1000Ω ± 1%. Same resistance, higher precision.

The tolerance tells you the actual range. A 1kΩ ± 5% resistor can actually be 950Ω to 1050Ω. For precision circuits, use ±1% or better tolerance. Temperature coefficient (6-band resistors) matters when resistance must stay stable across temperature changes.

Color codes remain useful despite digital multimeters. They let you quickly grab the right resistor from a bin without measuring each one. The mnemonic 'Better Be Right Or Your Great Big Venture Goes Wrong' helps remember the color sequence.

Key properties

Color-to-Number Mapping

Each color represents a digit 0-9: Black=0, Brown=1, Red=2, Orange=3, Yellow=4, Green=5, Blue=6, Violet=7, Gray=8, White=9. The mnemonic 'Better Be Right Or Your Great Big Venture Goes Wrong' helps remember the sequence. Understanding this mapping is fundamental to reading resistor values.

4-Band Resistors: Standard Encoding

4-band resistors have two digit bands, one multiplier band, and one tolerance band. Read from the end nearest the first band. For example, Brown-Black-Red-Gold = 10 × 100 = 1000Ω = 1kΩ ± 5%. Understanding 4-band format lets you read most common resistors.

5-Band Resistors: Precision Encoding

5-band resistors have three digit bands, one multiplier, and one tolerance. This allows more precise values like 475Ω. For example, Yellow-Violet-Green-Black-Brown = 475 × 1 = 475Ω ± 1%. Understanding 5-band format lets you read precision resistors.

Multiplier Band: Powers of 10

The multiplier band indicates powers of 10: Black=×1, Brown=×10, Red=×100, Orange=×1k, Yellow=×10k, Green=×100k, Blue=×1M. Gold=×0.1, Silver=×0.01 for sub-ohm values. Understanding multipliers lets you determine the magnitude.

Tolerance Band: Accuracy

Tolerance indicates how much actual resistance may vary from marked value. Brown=±1%, Red=±2%, Gold=±5%, Silver=±10%. Precision applications need tighter tolerances. Understanding tolerance helps you select appropriate resistors.

6-Band Resistors: Temperature Coefficient

6-band resistors add a temperature coefficient band showing how resistance changes with temperature (in ppm/°C). Brown=100ppm/°C, Red=50ppm/°C, Orange=15ppm/°C, Yellow=25ppm/°C. Understanding temperature coefficient matters for precision circuits.

Formulas

4-Band Resistor Value

Resistance = (10×Band1 + Band2) × Multiplier ± Tolerance

First two bands are digits, third is multiplier. Brown-Black-Red-Gold: (10×1 + 0) × 100 = 1000Ω ± 5%.

5-Band Resistor Value

Resistance = (100×Band1 + 10×Band2 + Band3) × Multiplier ± Tolerance

First three bands are digits, fourth is multiplier. Brown-Black-Black-Brown-Brown: (100×1 + 10×0 + 0) × 10 = 1000Ω ± 1%.

Actual Resistance Range

Range = Nominal × (1 ± Tolerance%/100)

For 1000Ω ± 5%: Range = 1000 × (1 ± 0.05) = 950Ω to 1050Ω. The actual resistor may be anywhere in this range.

Resistor Color Codes in Electronics

Resistor color codes are used throughout electronics: hobbyists identify resistors for circuit building, technicians troubleshoot and repair electronics, engineers verify component values in prototypes, educators teach electronics fundamentals, and quality control verifies manufacturing. Understanding color codes is fundamental electronics knowledge. While digital multimeters can measure resistance directly, reading color codes allows quick identification without measurement—useful when selecting from bins or verifying circuit diagrams.

Frequently asked questions

How do I read a 4-band resistor?

First two bands are digits (0-9), third is multiplier (power of 10), fourth is tolerance. Start from the band closest to one end.

What does each color mean?

Black=0, Brown=1, Red=2, Orange=3, Yellow=4, Green=5, Blue=6, Violet=7, Gray=8, White=9. Gold and silver are special.

How do 5-band resistors differ?

5-band resistors have three digit bands instead of two, allowing three significant figures (e.g., 475Ω instead of 47Ω).

What do gold and silver mean?

As multiplier: Gold=×0.1, Silver=×0.01. As tolerance: Gold=±5%, Silver=±10%. No tolerance band means ±20%.

Which end do I start from?

Start from the end with bands closer together, or where the tolerance band (gold/silver) is at the other end.

Can I enter colors to get resistance?

Yes—select the color bands and we calculate the resistance value and tolerance range.

Can I enter resistance to get colors?

Yes—enter a resistance value and we show the corresponding color code for 4-band and 5-band formats.

What is tolerance?

Tolerance is how much the actual resistance may vary from the marked value. ±5% means within 5% of nominal.

What's a temperature coefficient?

On 6-band resistors, the sixth band shows how resistance changes with temperature in parts per million per degree Celsius (ppm/°C).

How do I remember the colors?

Mnemonics help: 'Better Be Right Or Your Great Big Venture Goes Wrong' = Black Brown Red Orange Yellow Green Blue Violet Gray White.

What about SMD resistors?

Surface mount resistors use numeric codes (e.g., 103 = 10×10³ = 10kΩ). We decode these too.

What's the difference between E12 and E24 series?

Standard value series: E12 has 12 values per decade (10% tolerance), E24 has 24 values (5% tolerance). We show available standard values.

Can I calculate series/parallel resistance?

Link to the Ohm's Law calculator for combining resistors in series or parallel configurations.

What if colors are faded?

Use a multimeter to measure actual resistance. We can reverse-calculate the expected color code from measured value.

Can I print a color code chart?

Download a PDF reference chart showing all colors, their values, and example calculations.