Question 8.2.2: Consider a four bit D to A converter. The analog value corre...

Consider a four bit D to A converter. The analog value corresponding to digital signals of values 0000 and 0001 are 0 V and 0.0625 V respectively. The analog value (in Volts) corresponding to the digital signal 1111 is _____.

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4-bit A/D converter
For input 0000
output Voltage = 0 V
For input 0001
output Voltage = 0.0625 V
V_{0}= K(input in decimal)
0.0625
= K(1) K = 0.0625
For input 1111
= (15)_{10}

 

V_{0}= 0.0625 × 15 = 0.9375
Hence, the correct Answer is (0.93 to 0.94).

Common Data for Questions 1 and 2
In the following circuit, the comparator output is logic ‘1’ if V_{1}>V_{2} and is logic ‘0’ otherwise. The D/A conversion is done as per the relation

V_{D A C}=\sum_{n=0}^{3} 2^{n-1} b_{n} \text { volts, where } b_{3} \text { (MSB), } b_{2}, b_{1} \text { and } b_{0}

(LSB) are the counter outputs.
The counter starts from the clear state

8.2

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