Here is an example that shows how the table and resistor shown above can be
used to figure out a resistor value by proving that yellow-violet-brown is
really 470 Ohm:
The first stripe is yellow, which means the leftmost digit is a 4.
The second stripe is violet, which means the next digit is a 7.
The third stripe is red. Since red is 100, it means add three zeros to the right
of the first two digits.
Yellow - Violet - Red = 4 - 7 - 000 = 47000 Ohm.
Although the first two bands are fairly straightforward, the third and fourth
bands might require a bit more explanation.
Multiplier Band
Resistor values can get to be very high in number, and there often is not enough
space to use a band for every digit. To get around this, the third band
indicates that a certain number of zeros should be added after the first two
digits to make up the full resistor value. In the example above, the third
stripe is brown, indicating that a single zero should be added to the right of
the first two digits.
If you want to go deeper into the math, this third band is officially referred
to as a multiplier. The color of the band determines the power of 10 you need to
multiply the first two resistor digits by. For example an orange third band with
a digit value of 3 would indicate a multiplier of 103, though you can also just
think of this as telling you to stick 3 zeros on the end.
Example:
Brown - black - orange resistor.
Brown = 1, black = 0, orange multiplier = 103
10 x 103 = 10000, which is the same as 10 + three zeros = 10000.
Notice that however you decide to think about it, the result ends up being the
same.
Tolerance Band
The fourth color band indicates the resistors tolerance. Tolerance is the
percentage of error in the resistors resistance, or how much more or less you
can expect a resistors actual measured resistance to be from its stated
resistance. A gold tolerance band is 5% tolerance, silver is 10%, and no band at
all would mean a 20% tolerance.
For example:
A 220 Ohm resistor has a silver tolerance band.
Tolerance = value of resistor x value of tolerance band = 220 Ohm x 10% = 22 Ohm
220 Ohm stated resistance +/- 22 Ohm tolerance means that the resistor could range
in actual value from as much as 242 Ohm to as little as 198 Ohm.
Some projects require your measurements to be more precise than others, and for
this reason the tolerance band is useful in identifying which resistor will give
you a more accurate resistance reading. The smaller the tolerance percentage is,
the higher the precision in your measurements.