The circuit shown in Fig. 19-95 is a primitive 4-bit digital-to-analog converter (DAC). In this circuit, to represent each digit (2n) of a binary number, a "1" has the nth switch closed whereas zero ("0") has the switch open. For example, 0010 is represented by closing switch n = 1, while all other switches are open. Show that the voltage V across the 1.0-Ω resistor for the binary numbers 0001, 0010, 0100, and 1001 (which in decimal represent 1, 2, 4, 9) follows the pattern that you expect for a 4-bit DAC. (Section 17-10 may help.)

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16.0 k2 ww 8.0 k2 n = 1 "16 V =2 n = 3 4.0 k2 2.0 k2 1.0 2 ww-