Over 10 years we helping companies reach their financial and branding goals. Onum is a values-driven SEO agency dedicated.

CONTACTS

Why This Topic Is Important for ECET 2026

ADC (Analog to Digital Converter) and DAC (Digital to Analog Converter) are the bridge between real-world signals and digital systems.
In ECET 2026, questions come from:

  • Resolution
  • Step size
  • Conversion time
  • Quantization error
  • Weighted resistor & R-2R DAC
  • SAR, Flash ADC
    All these give easy, formula-based scoring questions.

📘 Concept Notes

1. What is an ADC?

An ADC converts analog voltage into a digital code.
Example: Mike voltage 0–5V converted into 8-bit number 0–255.

Important ADC Types

a) Flash ADC (Parallel ADC)

  • Fastest ADC
  • Uses comparator array
  • For n-bit ADC → requires 2ⁿ − 1 comparators
  • Used in high-speed systems (radar, video)

b) SAR ADC (Successive Approximation ADC)

  • Most commonly used
  • Medium speed, good accuracy
  • Uses a successive approximation register

c) Dual Slope ADC

  • Very accurate
  • Used in digital multimeters
  • Slow but noise-free

2. ADC Terms

Resolution

Number of bits of output.
More bits → smaller step size → better accuracy.

Step Size

Difference in analog voltage between two digital levels.
Formula:

\text{Step Size}=\frac{V_{ref}}{2^n}

Example:
8-bit, 5V →

\text{Step Size}=\frac{5}{256}=0.0195V

Quantization Error

Maximum error = ± half step.

\text{Quantization Error}=\pm\frac{\text{Step Size}}{2}

Total Levels

\text{Levels}=2^n


3. DAC (Digital to Analog Converter)

DAC converts digital numberanalog voltage.

DAC Types

a) Weighted Resistor DAC

Each bit uses a weighted resistor (R, 2R, 4R, 8R…)

Output voltage:

V_o=\sum \left(b_i\frac{V_{ref}}{2^{i+1}}\right)

b) R-2R Ladder DAC

  • Uses only R and 2R resistors
  • Most stable and commonly used

Output voltage formula:
V_o=\frac{D}{2^n}V_{ref}
where D = decimal equivalent of binary input.


⚙️ Formulas (QuickLaTeX Only)

\text{Step Size}=\frac{V_{ref}}{2^n}

\text{Quantization Error}=\pm\frac{\text{Step Size}}{2}

\text{Levels}=2^n

V_o=\frac{D}{2^n}V_{ref}

N=\log_2(\text{Levels})

t_{conv}=n \times T_{clock} \quad (\text{for SAR ADC})

\text{Flash ADC Comparators}=2^n - 1


🔟 10 MCQs (Concept + Numeric)

Q1. A 3-bit ADC has reference voltage 8V. What is the step size?

Q2. Number of comparators required for a 4-bit Flash ADC:
a) 4
b) 8
c) 15
d) 16

Q3. The quantization error of a 10-bit ADC with 5V reference is:

Q4. For SAR ADC, conversion time depends on:
a) Clock cycles
b) Number of bits
c) Both a and b
d) None

Q5. Resolution of 12-bit ADC:
a) 1/4096
b) 1/2048
c) 1/1024
d) 1/256

Q6. A weighted resistor DAC with input 1100 (4-bit) and Vref = 8V gives output:

Q7. Step size of 8-bit ADC (Vref = 10V):
a) 39 mV
b) 78 mV
c) 10 mV
d) 0.1 mV

Q8. R-2R DAC formula for output is:
a) Linear
b) Logarithmic
c) Exponential
d) Sinusoidal

Q9. A 6-bit ADC can represent how many levels?

Q10. In a DAC, if digital input increases, analog output:
a) Decreases
b) Increases
c) Remains same
d) Becomes zero


Answer Key (Copy–Paste Table)

Q NoAnswer
Q11V
Q2c
Q3±0.00244V
Q4c
Q5a
Q66V
Q739 mV
Q8a
Q964
Q10b

🧠 Explanations

Q1:
Step size = \frac{8}{2^3}=1V

Q2:
Flash ADC comparators = 2^n - 1 = 15

Q3:
Step = \frac{5}{1024}=0.00488V
Error = ± half step = \pm0.00244V

Q4:
SAR uses n comparison cycles → both bits & clock → (c).

Q5:
Resolution = 1/2^{12}=1/4096

Q6:
Binary 1100 = decimal 12.
Output = \frac{12}{16}\times 8 = 6V

Q7:
Step = \frac{10}{256}=0.039V = 39mV

Q8:
DAC output equation is linear → (a).

Q9:
Levels = 2^6=64

Q10:
Digital ↑ → analog ↑ → (b).


🎯 Motivation for ECET 2026

ADC/DAC is one of the highest scoring chapters:

  • All problems are formula-based
  • Easily solvable under 30 seconds
  • Often 1–2 questions appear every year
    Mastering these gives your total score a straight boost.

📲 CTA

👉 Join our WHATSAPP group for ECET 2026 updates & discussions:
https://chat.whatsapp.com/GniYuv3CYVDKjPWEN086X9

Leave a comment

Your email address will not be published. Required fields are marked *