What's the R2R resistor ladder formula?

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Sputnik

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What is the formula to work out the voltage output from a given value of a R2R resistor ladder?

Ie. If binary value 01100101 is put on R2R ladder, what voltage will be present on output.

Sputnik :idea:
 

r-2r dac

**broken link removed**

In general the output voltage is Z * (Vcc/(Zmax+1)) where Z is the digital number
 

r 2r resistor ladder formula

generously,vout=sigma(di*power(2,-i))*vr, d1 is MSB,dn is LSB,(i=1~n)
 

r2r ladder (derivation of formula)

USE THIS:
 

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