Question 8.2.3: The stable reading of the LED displays is (a) 06 (b) 07 (c) ...

The stable reading of the LED displays is

(a) 06                                              (b) 07

(c) 12                                                (d) 13

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V_{D A C}=\sum_{n=0}^{3} 2^{n-1} b_{n}

 

b_{3}= MSB

 

b_{0}= LSB                          Counter is cleared initially

*Counter will count, till clk (V_{\text {in }} AND comp. output) is high, i.e.,

V_{ DAC }<V_{+}

(V – 1) (62)

\begin{array}{ccccc}b_{3} & b_{2} & b_{1} & b_{0} & V_{\text {DAC }} \\0 & 0 & 0 & 0 & 0 \\0 & 0 & 0 & 1 & 0.5 \\0 & 0 & 1 & 0 & 1.5 \\0 & 0 & 1 & 1 & \\0 & 1 & 0 & 0 & \\1 & 1 & 0 & 1 & 6.5 \\1 & 1 & 1 & 0 & 7\end{array}

At this point, V_{ DAC }>V_{+} \Rightarrow counter stops
Corresponding stable reading is 6.5 \times t_{c}

= 6.5 × 2
= 13.

Hence, the correct option is (d).

8.3

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