Homework 2 Solutions, EENG 311, Spring 2016
1. Tom (who is a boy) has two siblings, one older and one younger. We will assume that the
their genders were determined by the equivalent of a fair coin flip, and that their genders
are independent of one anoth

MATH332
Fall, 2014
Homework 3. Due September 24
1. Provide an example of a 23 matrix whose columns span R2 but are not linearly independent.
2. Let A be the 4 4 matrix
1 1 1 1
0 1 2 3
A=
0 0 1 1 .
0 0 0 1
(a) Find A1 using elementary row operations.
(b) F

MATH332
Fall, 2014
Homework 5. Due October 27
1. For the matrix
1 1 1 2
A = 0 1 1 4 ,
3 0 6 7
(a) Find a basis for its nullspace, its column-space, and its row-space
(b) Determine dim null(A), dim col(A) and dim row(A)
(c) Determine rank(A) and rank(A )
2

MATH332
Fall, 2014
Homework 1. Due September 1
1. Respond true or false. Justify your answer.
(a) A 3 2 matrix has a total of 6 rows
(b) There is a unique echelon form for each matrix
(c) If the reduced-echelon form of the augmented matrix of a system con

MATH332
Fall, 2014
Homework 4. Due October 13
1. In each case, determine if W is a subspace of the vectors space V
(a) V = P (i.e., the vector space of all polynomials in x),
W = set of polynomials p(x) such that p(0) = 0.
(b) V = R3 and
a+b
W = c b : a,

MATH332
Fall, 2014
Homework 2. Due September 12
1. Let x, a1 , a2 and a3 be given by
0 1
0 1
0 1
0 1
2
1
1
1
@ 1A , a1 = @1A , a2 = @ 1A , a3 = @0A .
x=
1
0
0
1
(a) Let A be the matrix whose columns are a1 , a2 and a3 , and let
0
1
1 0
B = @ 1 2A .
2 1
Fi

Why Study Digital Design
Binary Number System
EENG 284 Digital Logic Design
Vibhuti Dave
Introduction
Implementation basis for all modern computing
devices
Design your own digital system
Principles and Practices
Principles: Dont change frequently
Pra

HW 11
Due November 21st 2014 by 10 AM
Please refer to Digital Design With an Introduction to the Verilog HDL by Mano and
Ciletti (5th edition) for the following problem set
1) For the schematic shown in Figure 1, assume the following timing characteristic

HW 9
Due November 10th 2014 by 10 AM
Clearly shown state table, state diagrams, state equations and output equations wherever
applicable.
Please refer to Digital Design With an Introduction to the Verilog HDL by Mano and
Ciletti (5th edition) for the foll

HW 8
Due October 24th 2014 by 10 AM
1) Determine the propagation and contamination delay for the circuit shown in Figure 1
n1
n3
n5
n2
n4
Figure 1
Refer to the following table for gate delays
tcd(ps)
tpd (ps)
15
10
20
15
30
25
30
25
45
35
30
25
40
30
40
3

HW 3
Due September 12th 2014 by 10AM
Please refer to Digital Design With an Introduction to the Verilog HDL by Mano and
Ciletti (5th edition) for the following problem set
3.2 (a, c, e), 3.3(a, d), 3.5(a, c), 3.6(b, d), 3.12 (Provide simplified expression

MATH332
Fall, 2014
Homework 6. Due November 17
1. Find all the real eigenvalues and corresponding eigenvectors of the matrix
4 3
3
A = 2 3 2 ,
1 0 2
2. Prove that the following matrix is not diagonalizable:
A=
1 1
.
1 1
3. Suppose (xn ) is a sequence of 2

HW 4
Due September 22nd 2014 by 10 AM
Please refer to Digital Design With an Introduction to the Verilog HDL by Mano and
Ciletti (5th edition) for the following problem set
4.4 (include schematic), 4.5 (include schematic), 4.7 (the binary output should be

EENG 383
Microcomputer Architecture and Interfacing
Spring 2015
Homework 4 SOLUTIONS
Due Wednesday, February 4, 2015
Note: Homework is due at the beginning of class. Not all problems may be graded.
1. (Short answers) Do problems E5.1 through E5.5 in the H

EENG 383
Microcomputer Architecture and Interfacing
Spring 2015
Homework 3 - SOLUTIONS
Due Wednesday, January 28, 2015
Note: Homework is due at the beginning of class. Not all problems may be graded.
1) The WS28121 is a smart color LED. Red, green and blu

EENG 383
Microcomputer Architecture and Interfacing
Spring 2015
Homework 1 - SOLUTIONS
Due Wednesday, January 14, 2015
Note: Homework is due at the beginning of class. Not all problems may be graded.
1. This is a review of two's complement numbers. For ea

EENG 383
Microcomputer Architecture and Interfacing
Spring 2015
Homework 2 SOLUTIONS
Due Wednesday, January 21, 2015
Note: Homework is due at the beginning of class. Not all problems may be graded.
1. Read Chapter 1 of the book, Introduction to Embedded S

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0
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COLORADO SCHOOL OF MINES
ELECTRICAL ENGINEERING & COMPUTER SCIENCE DEPARTNIENT
EENG 389 — Fundamentals of Electric Machines
Spring 2016
Exam #1 Review
Multiple-Choice Section: Please choose the best answer for each question.
Question 1. Determin

r ‘2
3‘
COLORADO SCHOOL OF MINES
ELECTRICAL ENGINEERING 8: COMPUTER SCIENCE DEPARTMENT
EENG 389
Fundamentals of Electric Machines
Exam #1
February 10, 2016
Name. KEY
Directions:
You may use one formula sheet with formulas, notes, etc. No other materials a

Homework 1 Solutions, EENG 311, Spring 2015
1. The following problems involve applying Kolmogorovs axioms for probability laws, and
properties that follow from Kolmogorovs axioms.
(a) Out of the students in this class, 60% can attend my office hours if I

HW 5
Due October 3rd by 10 A.M
1) Using half adders and/or full adders as building blocks, design
a) A 4-bit incrementer (a circuit that adds one to a 4-bit number)
b) A 4-bit decrementer (a circuit that subtracts 1 from a 4-bit number)
2) Design a full-s

HW 7
Due October 17th 2014 by 10 AM
1) Design a 4-bit saturation adder. A saturation adder is a circuit whose output saturates
at a certain maximum value. Design a saturation adder that performs normal 4-bit
addition when the resulting sum is less than 15

HW 6
Due October 10th by 10 AM
For the following design problems, use circuits discussed and designed in class as
building blocks. You do not need to show the internal organization of these building
blocks. Label all inputs and outputs with appropriate na

HW 1
Due August 29th 2014 by 10 A.M
Please refer to Digital Design With an Introduction to the Verilog HDL by Mano and
Ciletti (5th edition) for the following problem set
1.2, 1.3 (b and d), 1.4, 1.9
6. Convert the following twos complement binary numbers

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