Worked color calculations

Decode and encode without rounding

Two complete examples decode 4.7 kΩ ±5% from four colors and encode exact 10 kΩ ±1% into five colors, with both tolerance ranges shown.

Four-band decode5 min read

Yellow–violet–red–gold: 4.7 kΩ ±5%

Decode yellow, violet, red, and gold to exactly 4700 Ω ±5%, with a nominal tolerance range of 4465–4935 Ω.

Five-band encode5 min read

Encode exactly 10000 Ω ±1% as brown, black, black, red, brown and calculate the nominal 9900–10100 Ω range.