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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.

Introductory Circuit Analysis (13th Edition)
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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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: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
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.
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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