Figure P1.37 shows the circuit of an N-bit

Chapter 1, Problem 1.37

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Figure P1.37 shows the circuit of an N-bit digital-toanalog converter (DAC). Each of the N bits of the digital word to be converted controls one of the switches. When the bit is 0, the switch is in the position labeled 0; when the bit is 1, the switch is in the position labeled 1. The analog output is the current iO. Vref is a constant reference voltage. (a) Show that (b) Which bit is the LSB? Which is the MSB? (c) For Vref = 10 V, R = 5 k, and N = 6, find the maximum value of iO obtained. What is the change in iO resulting from the LSB changing from 0 to 1?

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