This question was previously asked in

UPRVUNL AE EC 2016 Official Paper

Option 2 : 1.72 V

Hindi Subject Test 1

4714

10 Questions
10 Marks
10 Mins

__Concept__:

The resolution of DAC is a change in analog voltage corresponding to LSB bit increment at the input.

The resolution (R) is calculated as:

\( R= \frac{{{V_{FS}}}}{{{2^n} - 1}}\)

No. of levels = 2n – 1

V_{FS} is reference voltage 'or' Full-scale voltage

The output of a DAC with a given resolution is calculated as:

Vout = R × (D)10 ---(2)

D = Representation of the digital input in decimal

Using Equation (1) and (2), we can write:

\(V_{out}= \frac{{{V_{FS}}}}{{{2^n} - 1}}×(D)_{10}\) ---(3)

**Calculation:**

Given:

Digital input = 010110

Decimal equivalent of given input (D) = (22)10

n = 6 Bits and V_{FS} = 5 V

From equation (3), we can write:

\(V_{out}= \frac{{{V_{FS}}}}{{{2^n} - 1}}×(D)_{10}\)

\(V_{out}= \frac{{{5}}}{{{2^6} - 1}}×(22)_{10}\)

V_{out }= 1.74 V