2. Given the following 6 bit "R-2R" Digital to Analog (D/A) Converter: R11 www R10 R9 ww R8 w R7 w 10k 10ΚΩ 10ΚΩ 10 ΚΩ 10ΚΩ 5ૐ V1 R12 20kQ R6 20ΚΩ R5 R4 R3 R2 R1 - 20ΚΩ 20ΚΩ 20k 20ΚΩ 20kQ + S5 S4 Key-Space Key Space Determine: ° V2 $3 S2 $1 So 12V Kay-Space Key ace Key - Space KeySpace R13 w 10k (1) resolution (in mV/bit) (2) Vo, if the Digital Input = 1 0 1 1 11 (2) (3) Maximum Vo U1 741-DIV V3 12V Vo 1) Resolution Vrange / 2" (n = # of bits) Since n = 6, Vrange = SV Resolution = 8V / 26 → .125V/bit Resolution = 125mV/bit 2) 101111 (2) → 47 (10) Vout = (Decimal Value of Digital input) * Resolution → Vout = (47)(125mV/bit) Vout = 5.875V Dec Values 47 Digital In 101111 Analog Out 5.875V 3) Dec Values Digital In Analog Out 63 111111 7.875V → 1111112) 63 (10) Vout = (Decimal Value of Digital input) * Resolution →Vout = (63)(125mV/bit) Vout = 7.875V

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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2.
Given the following 6 bit "R-2R" Digital to Analog (D/A) Converter:
R11
www
R10
R9
ww
R8
w
R7
w
10k
10ΚΩ
10ΚΩ
10 ΚΩ
10ΚΩ
5ૐ
V1
R12
20kQ
R6
20ΚΩ
R5
R4
R3
R2
R1
- 20ΚΩ
20ΚΩ
20k
20ΚΩ
20kQ
+
S5
S4
Key-Space
Key Space
Determine:
°
V2
$3
S2
$1
So
12V
Kay-Space
Key ace
Key - Space
KeySpace
R13
w
10k
(1) resolution (in mV/bit)
(2) Vo, if the Digital Input = 1 0 1 1 11 (2)
(3) Maximum Vo
U1
741-DIV
V3
12V
Vo
Transcribed Image Text:2. Given the following 6 bit "R-2R" Digital to Analog (D/A) Converter: R11 www R10 R9 ww R8 w R7 w 10k 10ΚΩ 10ΚΩ 10 ΚΩ 10ΚΩ 5ૐ V1 R12 20kQ R6 20ΚΩ R5 R4 R3 R2 R1 - 20ΚΩ 20ΚΩ 20k 20ΚΩ 20kQ + S5 S4 Key-Space Key Space Determine: ° V2 $3 S2 $1 So 12V Kay-Space Key ace Key - Space KeySpace R13 w 10k (1) resolution (in mV/bit) (2) Vo, if the Digital Input = 1 0 1 1 11 (2) (3) Maximum Vo U1 741-DIV V3 12V Vo
1) Resolution Vrange / 2" (n = # of bits)
Since n = 6, Vrange = SV
Resolution = 8V / 26 → .125V/bit
Resolution = 125mV/bit
2) 101111 (2) → 47 (10)
Vout = (Decimal Value of Digital input) * Resolution → Vout = (47)(125mV/bit)
Vout = 5.875V
Dec Values
47
Digital In
101111
Analog Out
5.875V
3)
Dec Values
Digital In
Analog Out
63
111111
7.875V
→
1111112) 63 (10)
Vout = (Decimal Value of Digital input) * Resolution →Vout = (63)(125mV/bit)
Vout = 7.875V
Transcribed Image Text:1) Resolution Vrange / 2" (n = # of bits) Since n = 6, Vrange = SV Resolution = 8V / 26 → .125V/bit Resolution = 125mV/bit 2) 101111 (2) → 47 (10) Vout = (Decimal Value of Digital input) * Resolution → Vout = (47)(125mV/bit) Vout = 5.875V Dec Values 47 Digital In 101111 Analog Out 5.875V 3) Dec Values Digital In Analog Out 63 111111 7.875V → 1111112) 63 (10) Vout = (Decimal Value of Digital input) * Resolution →Vout = (63)(125mV/bit) Vout = 7.875V
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