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# ps15 - UNIVERSITY OF CALIFORNIA College of Engineering...

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1 UNIVERSITY OF CALIFORNI A College of Engineerin g Department of Electrical Engineerin g and Computer Science s Homework 12 (Optional) EECS 42/100 B. E. BOSER Due Friday, 12/7/2007 FALL 2007 Solving this homework is optional but recommended. Students who missed more than one problem set can use this to make up. Please come to office hours if you have questions about the problems. 1. Shown is a schematic diagram for a 3-bit resistor string DAC. It is controlled by a 3-bit word of binary signals b 0 , b 1 , b 2 . Each signal is either 0 or 1 and b 0 is the LSB (least significant bit). All the resistors have the same value R. a. Mark the control signal (b 0 , b 1 , b 2 ) for each switch. b. What is the step size V of the converter as a function of V ref ? c. Each resistor has the same value R. Write an expression of the output voltage as a function of V ref and b 0 , b 1 , b 2 . d. What is the value of V out for V ref =1V and b 0 =0, b 1 =1, b 2 =1? e. Now the output of the converter is loaded with a resistor R L to ground. Plot the value of the output

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ps15 - UNIVERSITY OF CALIFORNIA College of Engineering...

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