6.096 Lab 1
Due: 7 January 12:30:00
September 20, 2011
1
Additional Material
1.1
Constants
A constant is an expressions with a xed value. Kinds of constants:
Literals: used to express particular values within the source code; can be integers (ex:
1, 0, 
The Max Flow Problem
G
xij
uij
s
t
=
=
=
=
=
(N,A)
flow on arc (i,j)
capacity of flow in arc (i,j)
source node
sink node
Maximize
v
Subject to
j xij
j xsj

k xki
= 0
for each i s,t
= v
0 xij uij for all (i,j) A.
2
Maximum Flows
We refer to a flow x as ma
Frequency Synthesizer Noise in Wireless Systems
Zin
From Antenna
and Bandpass
Filter
PC board
trace
Zo
Package
Interface
RF in
Mixer
IF out
To Filter
LNA
LO signal
VCO
Reference
Frequency
Frequency
Synthesizer
Phase
Noise
fo
f
Synthesizer noise has a nega
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6 826 Principles of Computer Systems
PROBLEM SET 2 SOLUTIONS
Problem 1. Encrypted File System
a
ABSTRACTION FUNCTION File.d = \ pn 
CipherFile.d(pn) * decode
6.111 Spring 2006 Problem Set 2
1
Massachusetts Institute of Technology
Department of Electrical Engineering and Computer Science
6.111  Introductory Digital Systems Laboratory
Problem Set 2 Solutions
rd
Issued: March 3 , 2006
Problem 1: Counters
a)
74LS
Outline of PLL Lectures
IntegerN Synthesizers
 Basic blocks, modeling, and design
 Frequency detection, PLL Type
Noise in IntegerN and FractionalN Synthesizers
 Noise analysis of integerN structure
 SigmaDelta modulators applied to fractionalN
s
VCO Noise in Wireless Systems
Zin
From Antenna
and Bandpass
Filter
PC board
trace
Zo
RF in
Package
Interface
Mixer
IF out
To Filter
LNA
LO signal
VCO
Reference
Frequency
Frequency
Synthesizer
Phase
Noise
fo
f
VCO noise has a negative impact on system perf
Overview of the Lecture
A generic algorithm for solving shortest path
problems
negative costs permitted
but no negative cost cycle (at least for now)
The use of reduced costs
All pair shortest path problem
INPUT G = (N, A) with costs c
Node 1 is the sourc
Overview of lecture
Proof techniques
Proof by contradiction
Mathematical Induction
Smallest counterexample
Algorithm Analysis
Quick review of proving correctness
Euclids algorithm for computing gcd
Proof that bfs gives shortest distances
3
What is a
a datatype revisited
using sets
recall computing set of vars appearing in a formula
declare function
vars: F > Set<Var>
declare datatype
F = Var(name:String) + Or(left:F,right:F) + And(left:F,right:F) + Not(formula:F)
dene function over variants
vars (Va
Homework 8 Solution
1.264, Fall 2013
XML and Web services
A. Assignment
Steps 15: See zip file with the XML, DTD, aspx and asmx files
6. List the Web services you would include in your aircraft parts Web site. These
would be registered (as you did for yo
3/7/2012
1. Control and Scope
1. Data types
Promotion and casting
2. Operators
Opera ors
Precedence
Numerical problems
3. Control structures
Branching (if/else)
Iteration (while/do while/for)
4. Methods
Argument passing
Variable scope
1. Control an
Resistor Loaded Class A Amplifier
In a Class A amplifier, the active device conducts current
100% of time
For maximum output swing (and thus output power), the
quiescent output voltage is set at Vdd/2, and bias current at
Vdd/2RL
Max. power delivered to l