Homework Assignment 4
Econ 510- Spring 2016
SOLUTION
This assignment covers CH 11, of the textbook, and it has 2 sections: Multiple-Choice and
problem solving. Please write your concise and clear answers in the space provided for each
questions and use yo
ECON510: Intermediate Macroeconomics Homework 3
Due: beginning of class, October 24, 2012
Name: _
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Consumption smoothing refers to
A) the tendency of
ECON510: Intermediate Macroeconomics Homework 2
Due: beginning of class, September 28, 2012
Name: _
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
1) The consumer's work- leisure choice problem focus
ECON510: Intermediate Macroeconomics Homework 1
Due: Beginning of class, September 5, 2012
Name: _
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
1) Suppose we have the following information about a
ECE 15A
Fundamentals of Logic Design
Lecture 8
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Last time: Karnaugh Map Method to find
minimum SOP
Step 1:
Choose an element of ON-set not already covered by an implicant
Step 2:
HW3, ECE 15a
1. Express each of the following functions in disjunctive normal form* (DNF) in the
smallest possible number of variables:
2p (a)
f (a, b, c, d) = (ac0 + c)(a0 bc + d0 ) + (cd0 + b)(cd0 + c) + abd0 + abc0 d
= ac0 d0 + a0 bc + cd0 + cd0 + bc +
Homework #7
due February 29 at noon
ECE 15a
Winter 2016
1. (15p) Design a combinational circuit with four inputs, x,y,w, and z, and four outputs: A, B, C, and
D. When the binary input value in decimal is 1,3,5,7,9,11,13 or 15, the binary output value is o
ECE 15A
Fundamentals of Logic Design
Lecture 13
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Why Programmable Logic?
Facts:
It is most economical to produce an IC in large volumes
Many designs require only small volumes
Homework #6
due February 22 at noon
ECE 15a
Winter 2016
1. Implement f(a,b,c,d) =
m(0,1,2,5,7,8,9, 10,12, 14,15) as a 2-level gate circuit, using minimum
number of gates.
(3p) (a) Use AND and NAND gates.
(3p) (b) Use NAND gates only.
2. Convert the circui
Homework #8 Solution
Winter2016
ECE 15a
1. F1 = m(0, 3, 4, 7, 8, 10, 14) , F2 = m(0, 2, 4, 6, 8, 10, 14), F3 = m(2, 3, 6, 7, 8).
The K-maps of the three functions are below.
There are five product terms in total. The following are boolean expressions.
F1
Homework #8
due March 7 at noon
ECE 15a
Winter 2016
(5p) 1. A combinational circuit is defined by the following three Boolean functions:
F1(x,y,w,z) = m(0,3,4,7,8,10,14)
F2(x,y,w,z) = m(0,2,4,6,8,10,14)
F3(x,y,w,z) = m(2,3,6,7,8)
Implement the circuit usi
ECE 15a
Winter 2016
Homework #5
Due Wednesday, February 17 at noon
1. (10p) For this function, find a minimum sum-of-products solution, using the
Quine-McCluskey method:
F(a,b,c,d,e) = m (0,2,3,7, 9,11,16,17,18,20, 23) + d(4,8, 10,15,21,31)
2. (10p) Find
ECE 15A
Fundamentals of Logic Design
Lecture 7
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Last time: Karnaugh map method
K-map is an alternative method of representing the truth table
that helps visualize adjacencies in
ECE 15A
Fundamentals of Logic Design
Lecture 9
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Multi-Level Logic: Advantages
Reduced sum of products form:
A
D
F
A
E
F
B
D
F
B
E
F
C
D
F
C
E
F
G
1
x=ADF + AEF + BDF + BEF + CDF
ECE 15A
Winter 2016
Homework 6 Solution
Problem 1
f(a,b,c,d) = m(0,1,2,5,7,8,9,10,12,14,15)
ab\cd 00 01 11 10
00
1
1
0
1
01
0
1
1
0
11
1
0
1
1
10
1
1
0
1
a) Use AND and NAND gates
ab\cd
00
01
11
10
00
01
11
0
0
10
0
0
0
b'
c
d
b
c'
d'
a
b'
d
a'
b
d'
f
a'
Fundamentals of Logic Design - ECE 15A
Instructor: Malgorzata Marek-Sadowska
Office hours: Monday and Wednesday 3:15-4:30pm in Howard Frank Hall, rm 4111.
Winter 2016
Textbook: C.H.Roth, Fundamentals of Logic Design, 7-th edition (CHR).
Class website is o
ECE 15A Homework 7 Solutions
Question 1:
Design a combinational circuit with four inputs, x,y,w, and z, and four outputs: A, B, C, and D. When the
binary input value in decimal is 1,3,5,7,9,11,13 or 15, the binary output value is one less than the input
v
Homework #4
due February 8 at noon
ECE 15a
Winter 2016
On your homework, please, write your discussion section day and time.
1. Write the following functions using only + (OR), (AND) and (NOT) operations:
(5p) (a) f = (a b)(c d)
(5p) (b) g=
ab' (c d)
Simp
ECE 15A
Fundamentals of Logic Design
Lecture 11
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Half Adder/ Full Adder
Full Adder
Half Adder
x
y
Sum
Carry
0
0
1
1
0
1
0
1
0
1
1
0
0
0
0
1
x
y
Sum
HA
Carry
Carry x
0
0
0
0
1
1
1
ECE 15A
Fundamentals of Logic Design
Lecture 10
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Today
Fan-out
Timing behavior of circuits
Waveforms to visualize what is happening
Momentary change of signals at the outputs:
HW3, ECE 15a
1. Express each of the following functions in disjunctive normal form* (DNF) in the
smallest possible number of variables:
2p (a)
f (a, b, c, d) = (ac0 + c)(a0 bc + d0 ) + (cd0 + b)(cd0 + c) + abd0 + abc0 d
= ac0 d0 + a0 bc + cd0 + cd0 + bc +
ECE 15A
Winter 2017
Review Problems - Week 1
1. A computer has a word length of 8 bits including sign. A = 10011101 and B = 11100101 are
two numbers in 2s complement representation. Show how this computer will perform the
following 2 operations and indica
ECE 15A
Fundamentals of Logic Design
Lecture 12
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Steering Logic
Use of Multiplexer/Demultiplexer in Digital Systems
A
Demultiplexers
Y
Multiplexers
B
Z
So far, we've only seen po
ECE 15A
Fundamentals of Logic Design
Lecture 6
Malgorzata Marek-Sadowska
Electrical and Computer Engineering Department
UCSB
Example 2 level realization
f(a,b,c)=abc+abc+abc+abc+abc
a
f
b
c
Direct representation.
9 gates, 11 nets, 15 literals.
2
1
Simpli
Chapter 11:
Aggregate Demand I:
Building the IS-LM Model
Context
Chapter
10 introduced the model of
aggregate demand and aggregate supply.
Long run:
prices flexible
output determined by factors of
production & technology
unemployment equals its natur
Chapter 8
An Economic Analysis of Financial Structure
1
Learning Objectives
In this chapter we will
Identify some basic facts about the global financial
system
Summarize how transaction cost influence the
structure of the financial system
Summarize how in
Chapter 14
The Money Supply
1
Learning Objectives
2
In this chapter we will discuss
the Feds balance sheet and the monetary
base
the simple deposit multiplier
banks, the nonbank public and the money
multiplier
The Federal Reserves Balance Sheet and
the M
Homework 1
Part A: Thursday, March 31st by 11:55 p.m
Part B: Thursday, March 31st in Class.
Part A
Part A: Multiple Choice (20 points)
There are 20 multiple choice questions on KSOL. You should submit this section through KSOL.
Part B: Short Answers (10po
CHAPTER 12:
Aggregate Demand II:
Applying the IS-LM Model
CONTEXT
Chapter
10 introduced the model of
aggregate demand and supply.
Chapter
11 developed the IS-LM model,
the basis of the aggregate demand curve.
IN THIS CHAPTER, YOU WILL LEARN:
How
to use th
Chapter 13
Central Banks and the Federal Reserve System
1
Learning Objectives
2
In this chapter we will discuss the
Main Goals of Monetary Policy
Origins of the Federal Reserve System (FRS)
Structure of the FRS
Independence of the FED
Main Goals of Moneta
Name & ID#:_
ECON 530
Fall 2016
Class Exercise2: Chapter 8
1. The problem created by asymmetric information before the transaction occurs is called
_, while the problem created after the transaction occurs is called _.
a. free-riding; costly state verific
Chapter 9
Excess Reserves and the Bigger Picture
1
Excess Reserves
Actual Reserve = cash in the Bank + cash held at
the Fed
excess reserves = actual reserves required reserve
ER = AR- RR
One bank can safely make loans or create new
money up to its excess
Name & ID#:_
ECON 530
Fall 2016
Class Exercise1: Chapter 8
1. The current structure of financial markets can be best understood as the result of attempts
by financial market participants to
a. deal with the great number of small firms in the United States