Chapter 10
10.1. In the modified shift register the order of the multiplexers that perform the load and enable operations are reversed from the order in Figure 10.4. Bit zero of the modified register is show below.
R0 L E
1
w Clock
0
1 0
D
Q Q
Q0
10.2. (a

Homework #2 (Due: Feb. 1)
T otal 30 points
Please write the name s , ISU ne t-IDs , lab s e ctions and e ffort pe rce ntage s of both group members on your
homework.
Please staple your homework into a single copy.
Important: I will stop collecting homewor

HW#10 Solutions
Lecture 29
1. A 32-bit register consists of 32 D flip-flops = 64 D latches and 32 NOT gates.
(a) The D latch design consists of 2 AND gates, 2 NOR gates and 1 NOT gate.
So total # of transistors in one D-latch = 2x6 + 2x4 + 1x2 = 22
Total

CPRE 281 - Practice questions for exam #1
9/24/07
1. Give a truth table for each of the following logic expressions: (a) (X+Y)(X'+Y) (b) XY'+YZ'+ZX' 2. For each of the expression in question 1, draw the circuit using the logic gate symbols. 3. For

Homework 10 (Due: Apr. 19)
T otal 50 points
Please write on your homework the name s and e ffort pe rce ntage s of both group members and the group ID.
Please staple your homework into a single copy.
Important: I will stop collecting homeworks 5 minutes a

Physics 221
Homework 8
Spring 2014
Name:
08.1 An earring is cut from a circular plate of radius
10 cm with uniform thickness and density. A circle
of radius 9.0 cm has been cut out, where the edges
of the two circles meet at the top (see diagram). The
cen

Lecture Outline
Ch. 2.8
Five design examples:
Three-way light control
Multiplexer
Decoder for 7-segment display
Circuit implementation using NAND
Circuit implementation using NOR
Generalized DeMorgans Theorem
Generalized XOR Function
CprE 281
Lec 7
1

Application of Multiplexer: 4-bit rotator circuit
Inputs are i3 i2 i1 i0; Outputs are o3 o2 o1 o0
Output is the input rotated by 0, 1, 2 or 3 bit positions
Rotation is to the left
X Y determines # of positions rotated to the left:
If X Y = 0 0 (left rota

Reminder
Midterm Exam #1
When and where: Mar. 2 (Mon) in class
What: Lec. 1-14 (Chapter 1, Chapter 2, part of
Appendixes A & B)
No book and notes
No calculator or cell phone
Please practise a lot to improve your speed
Review during 2/27 (Fri) lectu

Lecture Outline
Fixed-point numbers (Ch. 3.7.1)
Floating-point numbers (Ch. 3.7.2)
ASCII code
CprE 281
Lec 19
1
Fixed-Point Numbers
A fixed-point number consists of integer and
fractional parts
B = bn-1bn-2 b1b0 b-1b-2 b-k
n 1
V ( B) bi 2i
The value

What is the Meaning of Digital?
CprE 281 Digital Logic
Digital:
Information is represented as discrete symbols
Webster dictionary: (electronics) of a circuit or device that
represents magnitudes in digits
Analog:
Information is represented as contin

Lecture Outline
Three Representations of Logic Functions
Logic expression
Truth table
Circuit Diagram / Schematic
Conversion between Representations
Circuit Diagram to Logic Expression / Truth Table
Logic Expression to Circuit Diagram / Truth Table

Lecture Outline
Ch. 2.6
Synthesis Using AND, OR and NOT gates
Canonical Sum-of-Products form
Min term / Product term
Canonical Product-of-Sums form
Max term / Sum term
Cost of a circuit
Logic Expression
Truth Table
CprE 281
Lec 5
Circuit Diagram
1
The

Which Truth Tables Are the Same?
1)
B
0
0
1
1
A
0
1
0
1
2)
F
0
0
1
0
3)
CprE 281
B
1
1
0
0
A
1
0
1
0
Lec 4
A
0
0
1
1
B
0
1
0
1
F
0
0
1
0
F
0
1
0
0
1
Lecture Outline
Ch. 2.5
Boolean algebra
Axioms
Theorems / Properties
Principle of Duality
CprE 281
Le

Reminder
Midterm Exam #1
When and where: Mar. 2 (Mon) in class
What: Lec. 1-14 (Chapter 1, Chapter 2, part of Appendixes A
& B)
No book and notes
No calculator or cell phone
Please practice a lot to improve your speed
CprE 281
Review for Lec 1 - 14

Moores Law
Gordon Moore (co-founder of Intel) predicted in 1965
that the transistor density of semiconductor chips
would double roughly every 18 months to 2 years.
Moore's Law isn't a law - it's a prediction about what
device physicists and process engi

Ch. 2.11-2.12: Karnaugh map
Karnaugh map (K-map) allows viewing the function in a
picture form
Containing the same information as a truth table
But terms are arranged such that two neighbors differ in
only one variable
It is easy to identify which ter

Lecture Outline
K-Map for functions with 5 or 6 variables
Incompletely Specified Functions (Ch. 2.14)
Dont care conditions
CprE 281
Lec 13
1
Karnaugh maps with up to 4 variables
Example: 1, 2, 3, and 4 variables maps are
shown below
A
0 0
1 1
A
B 0 1

Physics 221
Homework 6
Name:
06.1 A system of two paint buckets connected by a
lightweight rope (see diagram) is released from rest with
the 6.0-kg bucket 2.00 m above the floor. Find the speed of
buckets when the 6.0-kg bucket hits the ground. You can
as

Cpr E 281 HW07
ELECTRICAL AND COMPUTER
ENGINEERING
IOWA STATE UNIVERSITY
Arithmetic Circuits and
Combinational-Circuit Building Blocks
Assigned Date: Ninth Week
Due Date: Wednesday, Mar. 23, 2016
P1. (10 points) Consider constructing a 2nx1 multiplexer us

Cpr E 281 HW06
ELECTRICAL AND COMPUTER
ENGINEERING
IOWA STATE UNIVERSITY
Binary Number Representation and
Arithmetic
Assigned Date: Seventh Week
Due Date: Wednesday, March. 2, 2016
P1. (6 points) How many bits are required to represent each of the followi

Cpr E 281 HW 09
ELECTRICAL AND COMPUTER
ENGINEERING
IOWA STATE UNIVERSITY
Latches and Flip-flops
Assigned Date: Eleventh Week
Due Date: Wednesday, April. 6, 2016
P1. (5 points) In the figure given below, a clock (CLK) and the input signal D are shown. Dra

Cpr E 281 HW05
ELECTRICAL AND COMPUTER
ENGINEERING
IOWA STATE UNIVERSITY
Karnaugh Maps
Assigned Date: Fifth Week
Due Date: Wednesday, Feb. 24, 2016
P1. (25 points)Find the simplified Boolean expression for the following functions using
K-map
a. F(A, B, C)