Formula 4-band and 5 band resistor colour codeing

Four vs. Five Bands

Two different coding-schemes exist; one with 4 bands, and one with 5 bands. Although the meaning of the colours is the same in each of these schemes, the meaning of the bands is slightly different in each.
In general, the first two or three bands encode a two- or three-digit number, and the following bands encode a multiplier (i.e. how many zeroes) and a tolerance value.
The encoding with four coloured bands:
band

1. 1st digit of value
2. 2nd digit of value
3. multiplier
4. tolerance

The encoding with five coloured bands:
band

1. 1st digit of value
2. 2nd digit of value
3. 3rd digit of value
4. multiplier
5. tolerance

FOR 4 BAND 
AB*10^c  +_T%
Where, A=band 1
             B=band 2
             C=band 3
             T=band 4(called as tolerance)
look below example 1st band is yellow,violet,red,brown
As we know from 1st fig:
band 1=yellow=4
band 2(violet)=7
band 3(red) =2
band 4(brown)=1%
As we have relation,
AB*10^c  +_T%
So, 47*10^2  +-1%
4700(+_)47
Resistance range lies somewhere between (4700+47,4700-47)=(4747,4653)