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The questions and solutions for midterm 1 of the eecs 100b course at the university of california, berkeley, held in spring 1982. The exam covers topics such as semiconductor physics, digital logic design, and karnaugh maps.
Typology: Exams
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Problem #
An n-type silicon wafer has 10 15 phosphorous atoms per cubic centimeter. Boron is diffused into the crystal
with the surface concentration of C 0 =10 19 per cubic centimeter. The diffusion constant D is 8 cm 2 per
second. The time of diffusion is only 3.125x10-10^ seconds. The resulting distance constant L is 10 -6^ meters. What is the concentration of p-type boron at the depth of 2.5 micrometers?
Problem #
A DTL NAND gate has all inputs tied together at 5 volts. The resistor to the power supply of 5 volts from the input diode anodes is 5000 ohms, the collector resistor is 2000 ohms. The load capcitance from the collector to ground C (^) L is 50 picofarads (50x10 -12). The capacitance from the input diode anodes to ground C (^) D is 10
picofarads.
(a) Assuming C (^) D is negligible, what is the time constant of the output circuit when the signals to all input
diodes go to zero simultaneously and instantly?
(b) Assuming C (^) L is neglible and all inputs are zero volts, what is the time constant of the voltage at the diode
anodes when the signals to all input diodes go to 5 volts simultaneously and instantly?
Problem #
Draw the circuit for a TTL NAND gate with push-pull output circuit. Show at least two inputs.
Problem #
Construct the truth table for
Problem #
Reduce this to the sum of products form.
Problem #
Draw the Karnaugh map for F in Problem (5).
Problem #
Synthesize F with NAND gates.
Problem #
In this circuit, the input to J is always 1.