Digital-Analogic conversion help

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The discussion centers on finding the expression for current I2 in a digital-analog converter circuit after successfully determining I1 as I1=(Vin)/2R. The user is seeking guidance on calculating the voltage at point A, which is essential for applying the equation V=RxI. There are noted connection errors in the simulation schematic, particularly regarding the grounding of the input networks. Additionally, the concept of R:2R ladders is introduced, emphasizing the voltage divider characteristics that are crucial for DAC functionality. Clarification on these points is requested to aid in solving the circuit equations.
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I'm trying to work out an equation for the circuit below,but unfortunately I'm not having success.I've managed to get the expression for I1 which is:

I1=(Vin)/2R

How do I find now the expression for I2?Following the equation V=RxI where V is the difference at both terminals of the resistance I need to find the value tension at point A.How do I find that value?I've found the parallel resistance between the resistances that correspond to currents I3 and I4 which is R by I don't know how to work it from that!:confused:
Any help is really appreciated!Thanks in advance!

http://i75.photobucket.com/albums/i281/esmeco/digitalanalogicconverter.jpg
 
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Two things. First, the simulation schematic looks like it has a couple connection errors in it. The bottom of the + input network is not connected to the - input network side or to a "ground" symbol as far as I can see. Is something missing?

Second, the trick with R:2R ladders is to see that in a ladder, the R is in series with a 2R in parallel with a net 2R. That gives you a consistent voltage divider characteristic that you can use in a DAC ladder. You might see if wikipedia or your textbook describes the R 2R ladder to get a better explanation. Hope that helps some.
 

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