Question
Download Solution PDFA 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Resolution
It is the minimum change at the DAC output.
Resolution = Step size
\(\% Resolution = \frac{{Step\;size}}{{Full\;Scale\;Output}} \times 100\)
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
\(FSO = \left( {{2^N} - 1} \right) \times step\;size\)
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
\(Resolution = \frac{5}{{15}}\)
\(Resolution = \frac{1}{3}\)
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
\(output = 12 \times \frac{1}{3}\)
Output = 4 V
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