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Homework problems related to digital circuit analysis and design. The tasks include finding the functionality of a given circuit, developing cmos circuits for specific functions, and analyzing the dc characteristics of nand gates with different loads. Students are required to complete truth tables, simplify k-maps, and draw dc characteristics.
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Find the functionality for the following circuit. Complete a truth table (please include which FETs are on or off), then write the final function in sum-of-products format. (if you cannot figure out the funciton by looking at the circuit, place the truth table in a K-Map. Simplify the K-Map to find the resulting sum-of-products function.)
Develop the CMOS circuit for the following function. Do not simplify the function. Implement it in it’s current form. Make sure that your circuit does not produce a short between VDD and GND or a floating output.
The DC characteristic of a 3-input NAND can be found by assuming that A=B=Vdd and C moves from 0V to Vdd. Vdd=5V for this problem.
Vout A A
m (^1) m (^2) m (^3)
m 4 m (^5)
m 6 m (^7)
m 8
m (^9)
m (^10)
(a) Find VOH (the output voltage for a high) and VOL (the output voltage for a low) for the fol- lowing three loads assuming that R (^) ds=10Ω.
(b) Draw the resulting DC characteristic for each of the 3 loads. Be sure to notate the VOH and VOL levels precisely.
Vo
Vo
Vo (i)
(ii)
(iii)
1k Ω
1k Ω