ECE 2030 Test 1 - Fall 2000, Exams of Electrical and Electronics Engineering

A closed book, closed notes test for ece 2030 students in the fall of 2000. The test includes five problems covering topics such as digital logic, switch level circuits, and karnaugh maps. Students are required to show their work and adhere to the georgia tech academic honor code.

Typology: Exams

Pre 2010

Uploaded on 08/04/2009

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ECE 2030 Test 1
Fall 2000
Dr. Heck
This is a closed book, closed notes test. No calculators are allowed.
You have 50 minutes to complete the test.
Please show all of your work.
Please abide by the Georgia Tech academic honor code. Violations will be handled in the
appropriate manner.
Solutions
pf3
pf4
pf5

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ECE 2030 Test 1

Fall 2000

Dr. Heck

  • This is a closed book, closed notes test. No calculators are allowed.
  • You have 50 minutes to complete the test.
  • Please show all of your work.
  • Please abide by the Georgia Tech academic honor code. Violations will be handled in the appropriate manner.

Solutions

Write concise, clear answers.

a) Why do we use both n-type and p-type transistors when building circuits to implement digital logic?

n-type and p-type transistors are not ideal switches. n-type is good at pulling low while p-type is good at pulling high. Using both compensates for the nonideal behavior.

b) What is the purpose of using Karnaugh maps?

It helps to simplify expressions so that we implement the expressions with fewer transistors.

Suppose F = ( A + D ) C + B ,

a) Create a switch level implementation for F using n-type and p-type transistors. Assume that both the inputs and their complements are available. Your design should contain no shorts and no floats.

b) Use mixed logic to create a gate level implementation for F using only NOR gates and inverters. Your design should include the complements of the inputs if they are needed. Determine the number of transistors needed for the design.

Number of transistors for part b) 3 × 4 + 4 × 2 = 20

+V

D

C

A

B

A C D

F

B

A

D

C

B F

Problem 4 (35 points)

a) Draw the Karnaugh map for F =(B+C)A+AB

b) A truth table is given below. From the truth table, write the SOP and the POS expressions. Then, using a Karnaugh map, express the simplified SOP expression.

SOP = ABCD + ABCD + ABCD + ABCD + ABCD + ABCD + ABC D

A B C D A B C D A B C D A B C D

POS A B C D A B C D A B C D A B C D A B C D

Simplified 

ABD

BCD

SOP AC ACD use either

BC

A 01

C

B

ABCD OUT 11

AB

CD

A

C

D

B