Design Question Vref Rref RG RM Al VOUT Digital Input, DIN DAC1 n VDAC Figure 1 Figure 1 shows the circuit used to condition the output of the n - bit Digital to Analog Converter "DAC1" having a digital input value of Din. DAC1 may be assumed to have a voltage output with zero source resistance coded in “straight binary" such that For a binary input of Din= 000...000 the output voltage VDAC is OV For a binary input of Din= 111...111 the output voltage VDAC is Vref Where Vref is a positive voltage reference. (c) Hence show that the error in vout due to opamp DC input current and voltage errors including both bias and offset currents is given by: Voute = 2Vos + Ig|2RM – Rres|+ los(2Rm)

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Design Question
Vref
Rref
RG
RM
A1
VOUT
Digital
DAC1
Input, DIN H
n
VDAC
Figure 1
Figure 1 shows the circuit used to condition the output of the n – bit Digital to Analog
Converter “DAC1" having a digital input value of Din. DAC1 may be assumed to have a
voltage output with zero source resistance coded in “straight binary" such that
For a binary input of DIN = 000...000 the output voltage VDAC is 0V
For a binary input of Din= 111...111 the output voltage vDAC is Vref
Where Vref is a positive voltage reference.
(c) Hence show that the error in vour due to opamp DC input current and voltage errors
including both bias and offset currents is given by:
voute = 2Vos + IB|2RM – Rref|+Ios(2RM)
%3D
Transcribed Image Text:Design Question Vref Rref RG RM A1 VOUT Digital DAC1 Input, DIN H n VDAC Figure 1 Figure 1 shows the circuit used to condition the output of the n – bit Digital to Analog Converter “DAC1" having a digital input value of Din. DAC1 may be assumed to have a voltage output with zero source resistance coded in “straight binary" such that For a binary input of DIN = 000...000 the output voltage VDAC is 0V For a binary input of Din= 111...111 the output voltage vDAC is Vref Where Vref is a positive voltage reference. (c) Hence show that the error in vour due to opamp DC input current and voltage errors including both bias and offset currents is given by: voute = 2Vos + IB|2RM – Rref|+Ios(2RM) %3D
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