Question 18.6: In Fig. 18-25, D0 = 1, D1 = 0, D2 = 0, and D3 = 1. Using a V...

In Fig. 18-25, D_0 = 1, D_1 = 0, D_2 = 0, and D_3 = 1. Using a Vref value of +5 V, determine the decimal equivalent of the binary input (BIN) and the output voltage of the converter.

18-25
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Using Eq. (18-18), the decimal equivalent can be found by:
BIN = (1 × 2^0) + (0 × 2^1) + (0 × 2^2) + (1 × 2^3) = 9

The output voltage of the converter is found by using Eq. (18-19) as:

V_{out}=-\left(\frac{BIN}{2^N}\times 2V_{ref} \right)       (18-19)

V_{out}=-\left(\frac{9}{2^4} \right)\times 2(5 \ V)

V_{out}=-\left(\frac{9}{16} \right)\times (10 \ V) = −5.625 \ V

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