Explain the colour code used to determine the value of carbon film resistors.

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(N/A) The colour code for determining the resistance value of a carbon film resistor is provided in the table below:
ColourNumberMultiplierTolerance $(\%)$
Black$0$$10^{0}$-
Brown$1$$10^{1}$-
Red$2$$10^{2}$-
Orange$3$$10^{3}$-
Yellow$4$$10^{4}$-
Green$5$$10^{5}$-
Blue$6$$10^{6}$-
Violet$7$$10^{7}$-
Gray$8$$10^{8}$-
White$9$$10^{9}$-
Gold-$10^{-1}$$5\%$
Silver-$10^{-2}$$10\%$
No Colour--$20\%$

To remember this code, use the mnemonic: "$B$ $B$ $ROY$ Great Britain Very Good Wife".
$1$. The first and second bands represent the first two significant digits of the resistance value.
$2$. The third band represents the decimal multiplier $(10^{n})$.
$3$. The fourth band represents the tolerance. If only three bands are present, the tolerance is $20\%$.
Example: For a resistor with Orange, Blue, Yellow, and Gold bands:
- Orange $= 3$, Blue $= 6$, Yellow $= 10^{4}$, Gold $= 5\%$.
- Resistance $= 36 \times 10^{4} \Omega \pm 5\%$.

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