vord azažajªŋ, where ao, a₁, a2, and az take the values of 0 or 1, and it provides an analog output voltage v proportional to the value of the digital input. Each of the bits of the input word controls the correspondingly numbered switch. For instance, if a2 is 0 then switch S₂ connects the 20- k2 resistor to ground, while if a2 is 1 then 2 connects the 20- k2 resistor to the +5-V power supply. Show that vo is given by R % = a+2¹a₁ +2²₂ +2²a₂] 16 where Ryis in kilohms. Find the value of Rf so that vo ranges from 0 to -5 volts. +5 V 10 ΚΩ www 20 ΚΩ www 40 k www 80 kn www

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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*2.44 Figure P2.44 shows a circuit for a digital-to-analog converter (DAC). The circuit accepts a 4-bit input binary
word azazajao, where ao, a1, a2, and az take the values of 0 or 1, and it provides an analog output voltage vo
proportional to the value of the digital input. Each of the bits of the input word controls the correspondingly
numbered switch. For instance, if a2 is 0 then switch S₂ connects the 20- k resistor to ground, while if a2 is 1 then
S₂ connects the 20- k resistor to the +5-V power supply. Show that vo is given by
12°a, +2¹a₁ +2²₂ +2²a₂]
16
where Rf is in kilohms. Find the value of Rf so that vo ranges from 0 to -5 volts.
+5 V
10 ΚΩ
www
20 k
www
www
To|11
40 kn
www
80 kn
www
9 + 91/11
Figure P2.44
Transcribed Image Text:*2.44 Figure P2.44 shows a circuit for a digital-to-analog converter (DAC). The circuit accepts a 4-bit input binary word azazajao, where ao, a1, a2, and az take the values of 0 or 1, and it provides an analog output voltage vo proportional to the value of the digital input. Each of the bits of the input word controls the correspondingly numbered switch. For instance, if a2 is 0 then switch S₂ connects the 20- k resistor to ground, while if a2 is 1 then S₂ connects the 20- k resistor to the +5-V power supply. Show that vo is given by 12°a, +2¹a₁ +2²₂ +2²a₂] 16 where Rf is in kilohms. Find the value of Rf so that vo ranges from 0 to -5 volts. +5 V 10 ΚΩ www 20 k www www To|11 40 kn www 80 kn www 9 + 91/11 Figure P2.44
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