A 4 bit Digital to Analog converter (DAC) gives an output voltage of 5 V for an input code of 1111. What is the output voltage for an input code of 1100?

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  1. 1 V
  2. 2 V
  3. 3 V
  4. 4 V

Answer (Detailed Solution Below)

Option 4 : 4 V
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Detailed Solution

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Concept:

Resolution

It is the minimum change at the DAC output.

Resolution = Step size

Full-Scale Output

It is the total voltage level given to the DAC or in simple terms, it is calculated as:

FSO = Total steps × Step size

Calculation:

Given output voltages are 5 V and input (1111)2

Converting 1111 into decimal form we get

(1111)2 = 1 × 23 + 1 × 22 + 1 × 21 + 1 × 20

(1111)2 = 8 + 4 + 2 + 1

(1111)2 = (15)10

New input given is (1100)2

Converting (1100)2 into decimal

(1100)2 = 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20

(1100)2 = 8 + 4 + 0 + 0

(1100)2 = (12)10

Now the output will be

Output = 4 V

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