Circuit Analysis and Design Homework 4, Assignments of Digital Systems Design

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.

Typology: Assignments

Pre 2010

Uploaded on 08/13/2009

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Homework 4
Problem 1
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.)
Problem 2
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.
Problem 3
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
AA
B
C
A
A
B
C
C
C
m1
m2
m3
m4m5
m6m7
m8
m9
m10
XAB+()CD AB+=
pf2

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Homework 4

Problem 1

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.)

Problem 2

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.

Problem 3

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

B

C

A

A

B

C

C

C

m (^1) m (^2) m (^3)

m 4 m (^5)

m 6 m (^7)

m 8

m (^9)

m (^10)

X =( A + B ) CD + AB

(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

A = 1

B = 1

C

A = 1

B = 1

C

A = 1

B = 1

C

Vo

Vo (i)

(ii)

(iii)

1k Ω

1k Ω