1. (15 points) Below are some circuit elements from a simple digital system. V A R B V B 1.3V
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1 Problem Set #1 RealDigital 1. (15 points) elow are some circuit elements from a simple digital system. 3.3V SW1 R 1Kohm V 1.3V R V 20m V C SW2 R C 1K R D When the pushbutton SW1 is not pressed, what is the voltage at V? When the SW1 is pressed, what is the voltage at V? When the SW1 is pressed, what current flows in the 1K resistor R? When SW1 is pressed, what power is dissipated in R? In the LED circuit, 1.3V is required at V to forward-bias the LED and cause current to flow. Given there is a 1.3V drop across the LED, what resistance R is required for 20m to flow through the LED? What power is dissipated in the LED? In the circuit on the far right, if R C dissipates 25mW, what is V C? Using the V C voltage you calculated, if R C is changed to 100Ohms, how much power would it dissipate? Using the V C voltage you calculated and a 1K R C, if pressing SW2 causes the total circuit power to increase to 75mW, what value must R D be? (3pt)
2 2. (22 points) The example circuit below asserts its output as a logic 0 when both switches are closed. ased on your reasoning for how this example circuit works, sketch a different circuit that asserts logic 1 when both switches are closed. Label the switches 1 and 2, and complete the truth table for your circuit. Then circle the correct term (high or low, and open or closed) to complete the following sentences describing the ND and OR relationships for your circuit: ND Relationship: The output is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. SW1 SW2 SW1 SW2 GND The example circuit below asserts its output as a logic 1 when either switch is closed. Sketch a new circuit that asserts logic 0 whenever one or both switches are closed. Label the switches 1 and 2, and complete the truth table below. Circle the correct term (high or low, and open or closed) to complete the following sentences describing the ND and OR relationships for your circuit: ND Relationship: The output is [high / low] when SW1 is [open / closed], and SW2 is [open / closed]. OR Relationship: The output is [high / low] when SW1 is [open / closed], or SW2 is [open / closed]. SW1 SW2 SW1 SW2 GND 3. (4 points) Complete the following. pet turns [ ON / O ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket). n net turns [ ON / O ] with LLV and conducts [ LHV / LLV ] well (circle one in each bracket).
3 4. (20 points) Complete the truth tables below (enter on or off under each transistor entry, and 1 or 0 for output ), and enter the gate name and schematic shapes in the tables. ND shape ND shape Q5 Q6 ND shape Q5 Q6 ND shape
4 5. (10 points) Complete the truth table below (enter on or off under each transistor entry, and 1 or 0 for output ). Then, provide a logic equation for the circuit in the box below. C Q5 Q6 C Q5 Q = 6. (12 points) ased on your knowledge of what a two-input NND circuit and a two-input NOR circuit built from pets and nets look like, sketch a three-input NND and four-input NOR circuit.
5 7. (8 points) The picture below shows a representation of a logic gate built from ETs as it might appear to a chip designer in a CD/layout tool. The reddish polysilicon areas labeled and are conductive materials that form the circuit inputs, and the yellow and green areas are diffusion areas that have been implanted (or doped) with materials to make them more positive or more negative than the surrounding silicon. ased on your knowledge of CMOS gate structures, answer the following. Which number points to the positive diffusion area? Which number points to the negative diffusion area? The dotted-line box pointed to by #3 represents what type of ET? What number points to the circuit output? What type of logic gate is this? Gnd Polysilicon (conductor) Metal (conductor) Diffusion area Diffusion area Via (a connection between structures)
6 8. (20 points) Complete the truth tables below. INV ND OR XOR 9. (8 points) Sketch non-minimized SOP and POS circuits for the truth table below. C
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