Calculate the following values of a 4-bit ADC with Vin = 0.6v and Vr = 1.2v. %3D • Determine the state and resolution. • Determine Initial MSB. • Determine the comparison of voltage references to voltage input. • Determine the digital value by lining-up all the MSB after comparison. • Find the voltage value using all MSB computed.
Calculate the following values of a 4-bit ADC with Vin = 0.6v and Vr = 1.2v. %3D • Determine the state and resolution. • Determine Initial MSB. • Determine the comparison of voltage references to voltage input. • Determine the digital value by lining-up all the MSB after comparison. • Find the voltage value using all MSB computed.
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Instructions: To answer the given bullet. The Example #1 is the guide to follow how to solve
![Example: Calculate the digital and voltage value of a 4-bit ADC with Vin = 0.6v and VR = 1v.
Step 1: Determine the state and resolution.
Step 2: Set each MSB by dividing V, ÷ 2 until the value
reaches to resolution as the last MSB or MSB(0).
1v
= 0.5v
2
MSB(3)
N = 2"
N = 24 = 16
MSB(3)
MSB(2)
0.25v
VR
Res =
N
Res = 0.0625
1v
2
MSB(2)
16
MSB(1) =
2
MSB(1)
= 0.125v
MSB(0)
= 0.0625
2
Step 3: Comparison of voltage references to voltage input.
First Bit
Succeeding Bit
• Compute VR as:
Divide VR by 2
Compare VR with Vin
If Vin > VR then MSB is 1
If Vin < VR then MSB is 0
VR = 1st MSB + current MSB
• Compare the recent VR with Vin
Follow comparison as of First Bit.
MSB(3):
MSB(2):
MSB(1):
MSB(0):
Vin = 0.6v
VR = 1v ÷ 2
VR = 0.5v
Vin = 0.6v
VR = MSB(3) + MSB(1)
VR = 0.5 + 0.125
= 0.625
Vin = 0.6v
VR = MSB(3) + MSB (0)
Vp = 0.5 + 0.0625
= 0.5625
Vin = 0.6v
VR = MSB (3) + MSB(2)
VR
= 0.5 + 0.25
VR = 0.75
VR
VR
Vin > VR
Vin < VR
Vin < VR
Vin > VR
: MSB(3) = 1
.: MSB(2) = 0
.: MSB(1) = 0
.: MSB(0) = 1
Step 4: Lineup the all MSB from greatest to least to get the digital value.
1
1
MSB(3)
MSB(2)
MSB(1)
MSB(0)
Step 5: Add-up all MSB, which value is 1 to find for the voltage value.
Vp = {[MSB(3) × 1] + [MSB(2) × 0] + [MSB(1) × 0] + [MSB(0) × 1]}v
Vp = [0.5 + 0 + 0 + 0.0625]v
VD = 0.5625v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80bbe560-ddea-42a6-a561-20c5b1857e4c%2Fc85af7be-d530-4f5a-8dd1-7d8fec362b4b%2Ft4i6sop_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Example: Calculate the digital and voltage value of a 4-bit ADC with Vin = 0.6v and VR = 1v.
Step 1: Determine the state and resolution.
Step 2: Set each MSB by dividing V, ÷ 2 until the value
reaches to resolution as the last MSB or MSB(0).
1v
= 0.5v
2
MSB(3)
N = 2"
N = 24 = 16
MSB(3)
MSB(2)
0.25v
VR
Res =
N
Res = 0.0625
1v
2
MSB(2)
16
MSB(1) =
2
MSB(1)
= 0.125v
MSB(0)
= 0.0625
2
Step 3: Comparison of voltage references to voltage input.
First Bit
Succeeding Bit
• Compute VR as:
Divide VR by 2
Compare VR with Vin
If Vin > VR then MSB is 1
If Vin < VR then MSB is 0
VR = 1st MSB + current MSB
• Compare the recent VR with Vin
Follow comparison as of First Bit.
MSB(3):
MSB(2):
MSB(1):
MSB(0):
Vin = 0.6v
VR = 1v ÷ 2
VR = 0.5v
Vin = 0.6v
VR = MSB(3) + MSB(1)
VR = 0.5 + 0.125
= 0.625
Vin = 0.6v
VR = MSB(3) + MSB (0)
Vp = 0.5 + 0.0625
= 0.5625
Vin = 0.6v
VR = MSB (3) + MSB(2)
VR
= 0.5 + 0.25
VR = 0.75
VR
VR
Vin > VR
Vin < VR
Vin < VR
Vin > VR
: MSB(3) = 1
.: MSB(2) = 0
.: MSB(1) = 0
.: MSB(0) = 1
Step 4: Lineup the all MSB from greatest to least to get the digital value.
1
1
MSB(3)
MSB(2)
MSB(1)
MSB(0)
Step 5: Add-up all MSB, which value is 1 to find for the voltage value.
Vp = {[MSB(3) × 1] + [MSB(2) × 0] + [MSB(1) × 0] + [MSB(0) × 1]}v
Vp = [0.5 + 0 + 0 + 0.0625]v
VD = 0.5625v
Transcribed Image Text:Calculate the following values of a 4-bit ADC with Vin = 0.6v and Vr
= 1.2v.
%3D
• Determine the state and resolution.
• Determine Initial MSB.
• Determine the comparison of voltage references to voltage
input.
• Determine the digital value by lining-up all the MSB after
comparison.
• Find the voltage value using all MSB computed.
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