Representation of Information
Binary and hexadecimal representation of information
2s complement representation and arithmetic
Binary representation of real numbers
Codes, code distance
Error detection an
4.1 Electric Flux . 4-2
4.2 Gausss Law . 4-3
Infinitely Long Rod of Uniform Charge Density . 4-8
Infinite Plane of Charge. 4-9
Spherical Shell . 4-12
Non-Conducting Solid Sphere . 4-
Physics 114 Exam 3 Spring 2013
For grading purposes (do not write here):
Question 1 (10 points). Determine the initial direction of the deflection of charged particles as
they enter the magnetic fields shown i
The Important Stu
This chapter concerns an important mathematical result which relates the electric eld in
a certain region of space with the electric charges found in that same region. It is useful
Homework 1: Solutions
1. Consider how the de Broglies suggestion might explain some properties of the hydrogen atom. a. Show that the assumption h p = m = and the quantization condiction that the length of a circular orbit be an integer multiple of the le
Problem # 1:
(a) Show that the minimum conductivity of a semiconductor sample occurs when n0 = ni
(b) What is the expression for the minimum conductivity?
(c) Calculate the minimum conductivity for Si
MIDTERM EXAM 2 - SOLUTIONS
July 21, 2008
8:00 a.m. 9:00 a.m.
Instructions: Write your name, and NetID where indicated. You are allowed to use one formula
sheet (81/2 11) and a calculator. This examination consists of 2 problem
Lecture 9, p 1
Introduction to QM:
Review and Examples
Lecture 9, p 2
KEmax = e Vstop = hf
The work function:
is the minimum energy needed to strip
an electron from the metal.
Waves Review, Crystallography,
Lecture 6, p. 1
Single-Slit Diffraction (from L4)
Slit of width a. Where are the minima?
Use Huygens principle: treat each point
across the opening of the slit as a wave
The first min
University of Illinois at
Analog Signal Processing
Allen, Jones, Levinson
Thursday, October 21, 2010 - 7:00-8:15 P.M.
E CE 2101211 University o f Illinois
Analog Signal Processing
Trick, Basar, Franke
Thursday, September 25, 2008 -7:00~8:15 P M
Section: (circle one) Class: (circle one)
Please clearly PRINT your name
Problem 1.24 The plot in Fig. P1.24 displays the cumulative charge q(t ) that has
entered a certain device up to time t . Sketch a plot of the corresponding current i(t ).
Figure P1.24: q(t ) for Problem 1.24.
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Homework 1 Solutions
Using Dirac delta functions in the appropriate coordinates, express the folowing charge distributions as
three-dimensional charge densities (x).
The equations to use in solving this problem are
Sequential Circuit Design
This section deals with the design of sequential circuits including the following: A discussion of the construction of state/output tables or diagrams from a word description or flow chart specification of sequential b
Digital Circuit Engineering
Product State Graphs
Seq3ProdFSM_C.fmI p. 1
Revised; April 8, 2009
Special State Graphs
Checking for Dual Sequences
1101 or 1011 Mealy Detection
Boolean algebra identities and Boolean proofs
Principle of duality
M. Morris Mano, Charles R. Kime, Logic and Computer Design Fundamentals, 4th edition,
Combinational logic analysis and design
K-maps and function minimization
NAND, NOR, XOR, XNOR functions
Analysis of combinational networks
Design of combinational networks
M. Morris Mano, Charles R. Kime, Logic a
In this problem you will design a Full Subtractor (FS) cell. As shown below, this cell has inputs
xi and yi and a borrow input bi. There are two outputs: difference di and borrow-out bi+1. The cell
should be des
(a) Shown below is the logic diagram of a D latch. It consists of 4 NAND gates and an inverter.
It has 2 inputs: D and C.
Express Q+ as a function of C, D, and Q.
Complete the next-state table for th
Consider a 128M x 32 RAM
a. How many address lines and data lines would this RAM need?
b. How many bytes does this RAM hold?
c. How many 4K x 4 RAMs would you need to make a 128M x 32 RAM? What size
LC-3 microarchitecture and I/O
Y. N. Patt and S. J. Patel, Introduction to Computing Systems: from bits & gates to C & beyond, 2nd
Homework 6 Solution
Homework #6 Solutions
(a) Q+ = (Qbar (CD)')' = (Q (CD')')' + CD = CD + QC' + QD = CD + C'Q.
When C=1, the inputs to the second stage (which is similar to an unclocked
SR latch, but with
Consider a 3-bit twisted ring counter consisting of 3 D flip-flops (labeled A, B, C from left-toright) and an inverter, connected such that DB = QA, DC = QB, and DA = QC.
a. Starting with state QAQBQC = 000, giv
Homework 7 Solution
Homework #7 Solutions
a. 000 -> 100 -> 110 -> 111 -> 011 -> 001 -> 000 -> .
b. 010 and 101 are illegal states. If the counter starts in one of these states, it will be stuck in the
loop 010 -> 101 -> 010 -> 101 -> .