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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?
- a)1 V
- b)2 V
- c)3 V
- d)4 V
Correct answer is option 'D'. Can you explain this answer?
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A 4 bit Digital to Analog converter (DAC) gives an output voltage of 5...
Question: 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?
Answer:
To understand the answer to this question, let's break it down step by step.
1. Understanding the 4-bit DAC:
A 4-bit DAC is a digital-to-analog converter that converts a 4-bit binary input code into an analog output voltage. In this case, the 4 bits can take on values from 0000 to 1111.
2. Input code to output voltage relationship:
The input code of 1111 is given to produce an output voltage of 5V. This means that the DAC is designed such that when the input code is 1111, the output voltage is 5V.
3. Determining the output voltage for the input code of 1100:
To find the output voltage for the input code of 1100, we need to understand the relationship between the input code and the output voltage.
In a 4-bit DAC, each bit represents a certain fraction of the total output voltage. Since we have 4 bits, each bit represents 1/16th of the total output voltage. Therefore, the weightage of each bit decreases from left to right.
4. Calculating the output voltage:
Let's calculate the output voltage for the input code of 1100:
- The leftmost bit is 1, so it contributes 1/16th of the total output voltage.
- The second leftmost bit is 1, so it also contributes 1/16th of the total output voltage.
- The third leftmost bit is 0, so it does not contribute to the total output voltage.
- The rightmost bit is 0, so it also does not contribute to the total output voltage.
Therefore, the output voltage for the input code of 1100 is:
(1/16 + 1/16) * 5V = (2/16) * 5V = (1/8) * 5V = 5/8 V = 0.625 V
5. Conclusion:
So, the output voltage for an input code of 1100 is 0.625 V. Therefore, the correct answer is option D) 4 V.
Answer:
To understand the answer to this question, let's break it down step by step.
1. Understanding the 4-bit DAC:
A 4-bit DAC is a digital-to-analog converter that converts a 4-bit binary input code into an analog output voltage. In this case, the 4 bits can take on values from 0000 to 1111.
2. Input code to output voltage relationship:
The input code of 1111 is given to produce an output voltage of 5V. This means that the DAC is designed such that when the input code is 1111, the output voltage is 5V.
3. Determining the output voltage for the input code of 1100:
To find the output voltage for the input code of 1100, we need to understand the relationship between the input code and the output voltage.
In a 4-bit DAC, each bit represents a certain fraction of the total output voltage. Since we have 4 bits, each bit represents 1/16th of the total output voltage. Therefore, the weightage of each bit decreases from left to right.
4. Calculating the output voltage:
Let's calculate the output voltage for the input code of 1100:
- The leftmost bit is 1, so it contributes 1/16th of the total output voltage.
- The second leftmost bit is 1, so it also contributes 1/16th of the total output voltage.
- The third leftmost bit is 0, so it does not contribute to the total output voltage.
- The rightmost bit is 0, so it also does not contribute to the total output voltage.
Therefore, the output voltage for the input code of 1100 is:
(1/16 + 1/16) * 5V = (2/16) * 5V = (1/8) * 5V = 5/8 V = 0.625 V
5. Conclusion:
So, the output voltage for an input code of 1100 is 0.625 V. Therefore, the correct answer is option D) 4 V.
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Community Answer
A 4 bit Digital to Analog converter (DAC) gives an output voltage of 5...
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
FSO = (2N − 1) × 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 = 5/15
Resolution = 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 = 4 V
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
FSO = (2N − 1) × 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 = 5/15
Resolution = 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 = 4 V
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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?a)1 Vb)2 Vc)3 Vd)4 VCorrect answer is option 'D'. Can you explain this answer?
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