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...of University California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz Homework Quiz (HW #6) November 21, 2001 CS152 Computer Architecture and Engineering This quiz combines two of the problems from homework #6. Good Luck! Your Name: SID Number: Discussion Section: Total: 1 [ This page intentionally left blank ] 2 Memory Heirarchy This problem combines elements from chapter 7 and 8 problems. You have a 500 MHz processor with...
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...University of California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz
Homework Quiz (HW #6)
November 21, 2001 CS152 Computer Architecture and Engineering
This quiz combines two of the problems from hom...
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This problem combines elements from chapter 7 and 8 problems. You have a 500 MHz processor with 2-levels of cache, 1 level of DRAM, and a DISK for virtual memory. Assume that it has a Harvard architecture (separate instru...
...University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2001 John Kubiatowicz
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April 17, 2001 CS152 Computer Architecture and Engineering
This quiz combines two of the problems from home...
...University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz
Homework Quiz (HW #6)
November 10, 1999 CS152 Computer Architecture and Engineering
This quiz combines two of the problems from hom...
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of University California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz Homework Quiz (HW #6) November 21, 2001 CS152 Computer Architecture and Engineering This quiz combines two of the problems from homework #6. Good Luck! Your Name: SID Number: Discussion Section: Total: 1 [ This page intentionally left blank ] 2 Memory Heirarchy This problem combines elements from chapter 7 and 8 problems. You have a 500 MHz processor with 2-levels of cache, 1 level of DRAM, and a DISK for virtual memory. Assume that it has a Harvard architecture (separate instruction and data cache at level 1). Assume that the memory system has the following parameters: Component First-Level Cache Second-Level Cache DRAM TLB Hit Time 1 cycle 20 cycles + 1 cycle/64bits 100ns+ 25ns/8 bytes 1 cycle Miss Rate 4% Data 1% Instructions 2% 1% 0.1% Block Size 64 bytes 128 bytes 16K bytes 16K bytes Finally, assume that TLB the has a fill penalty of 40 cycles. Question 1: Assume that the DRAM miss rate refers to a page fault. The DISK parameters are: Drive rotates at 12000RPM, transfer rate 32 MB/second, 10ms average seek time. What is the "Miss Penalty" for filling a DRAM page? You can treat MB=106 bytes and KB=103 bytes. Miss penalty = seek time + rotational delay + transfer time = 10ms + 0.5 60 16 x10 3 + = 13 ms 12000 32 x10 6 Question 2: Write an equation for AMATdata as seen by the processor. You do not have to generate an actual number. This equation should evaluate to a time in "ns", so make sure to check units. Hint: using a set of equations with symbolic values is probably the simplest thing to do. AMATdata=L1 hit time+L1 miss rate*(L2 hit time+L2 miss rate*(DRAM hit time+DRAM miss rate*DRAM miss penalty)) + TLB miss rate*TLB miss penalty =2ns + 0.04*(20cycles*2ns/cycle+128/8*2ns/cycle+0.01*(100ns+25ns/8bytes*16KB+0.001*13ms))+0.001*40ns =30.16ns 3
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Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Prerequisite Quiz February 3, 2003 CS152 Computer Architecture and Engineering This prerequisite quiz will be used in determining...
UCSB >> CS >> 40 (Fall, 2004)
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Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #2) SOLUTIONS February 12, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problem...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #3) SOLUTIONS March 5, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems fr...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz Homework Quiz (HW #4) October 17th, 2001 CS152 Computer Architecture and Engineering This quiz covers one of the problems from home...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 2001 John Kubiatowicz Homework Quiz (HW #5) November 7, 2001 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewo...
UCSB >> CS >> 40 (Fall, 2004)
!\"#$% $! # ,. 100 ! ! % 3) 4 5 9! % % 46 4# \" \" % 2 ! 2 0; ( ! < ! \' 75 % 48 2 *# + > \' : 9! ) \' = ! 0 0 0 0 7 0 4 ! ! ! 22 ? ! 1 *\"! 0!* 2 2 0 ! !2 ! @ ! ! \" ! @ !* % 2 ! 2 ! *8 < ! 0< 2 ! ...
Berkeley >> CS >> 152 (Spring, 2003)
CS152 Spring `03 Midterm II Page 1 University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Midterm II SOLUTIONS May 7th, 2003 CS152 Computer Architecture and Engineering Your Name: S...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Midterm I March 12, 2003 CS152 Computer Architecture and Engineering Your Name: SID Number: Discussion Section: Problem 1 2 3 4 ...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #6) April 23, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewo...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #5) April 9, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewor...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #2) February 12, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems from hom...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #3) March 5, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewor...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Homework Quiz (HW #4) SOLUTIONS March 19th, 2003 CS152 Computer Architecture and Engineering This quiz covers one of the problems...
Berkeley >> CS >> 152 (Spring, 2003)
CS152 Spring `03 Midterm II Page 1 University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Midterm II May 7th, 2003 CS152 Computer Architecture and Engineering Your Name: SID Number:...
Berkeley >> CS >> 152 (Spring, 2003)
University of California, Berkeley College of Engineering Computer Science Division EECS Spring 2003 John Kubiatowicz Midterm I March 12, 2003 CS152 Computer Architecture and Engineering Your Name: SID Number: Discussion Section: Problem 1 2 3 4 ...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Midterm I SOLUTIONS October 6, 1999 CS152 Computer Architecture and Engineering Your Name: SID Number: Discussion Section: Proble...
Berkeley >> CS >> 152 (Fall, 1999)
CS152 Fall \'99 Midterm II Page 1 University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Midterm II SOLUTIONS November 17, 1999 CS152 Computer Architecture and Engineering Your Name: S...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Prerequisite Quiz SOLUTIONS September 1, 1999 CS152 Computer Architecture and Engineering This prerequisite quiz will be used in de...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #6) SOLUTIONS November 10, 1999 CS152 Computer Architecture and Engineering This quiz combines two of the proble...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #5) SOLUTIONS October 27, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems f...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #4) SOLUTIONS October 13, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems f...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #3) September 29, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from home...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #2) September 15, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from home...
Stanford >> CS >> 256 (Winter, 2007)
CS256 Winter 2007 Facts sheet Instructor: Zohar Manna Office: Gates 481 Email: zm@theory.stanford.edu Office hours: By appointment. Teaching Assistant: Matteo Slanina Office: Gates 460 Email: matteo@cs.stanford.edu Office Hours: Tuesday & Thursday...
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Formal Methods for Concurrent and Reactive Systems CS256, Winter 2007, Stanford University Latest News Logistics Documents Latest News Grades have been posted on Axess. You can pick up your graded finals and sample solutions from Wendy. Good job eve...
Berkeley >> CS >> 152 (Fall, 1999)
CS152 Fall \'99 Midterm II Page 1 University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Midterm II November 17, 1999 CS152 Computer Architecture and Engineering Your Name: SID Number:...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Prerequisite Quiz September 1, 1999 CS152 Computer Architecture and Engineering This prerequisite quiz will be used in determining ...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #5) October 27, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewo...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #6) November 10, 1999 CS152 Computer Architecture and Engineering This quiz combines two of the problems from hom...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Midterm I October 6, 1999 CS152 Computer Architecture and Engineering Your Name: SID Number: Discussion Section: Problem 1 2 3 4 T...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #2) September 15, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from home...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #3) September 29, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from home...
Berkeley >> CS >> 152 (Fall, 1999)
University of California, Berkeley College of Engineering Computer Science Division EECS Fall 1999 John Kubiatowicz Homework Quiz (HW #4) October 13, 1999 CS152 Computer Architecture and Engineering This quiz covers one of the problems from homewo...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 10 Dielectric Sphere: The solution outside will be of the form out (r, ) = -E0 rP1 (cos ) + = while, inside in (r, ) = A1 rP1 (cos ). These terms have been selected to match the asymptotically uniform electric field at infin...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 7 1) Critical mass: We expand n(x, t) = and also = m=1 am (t) sin mx , L mx 4 sin , m L m,odd 0 < x < L. Substituting in the given equation, and using the linear independence of the sine functions, then gives Dm2 2 4 ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 8 1) Pantograph Drag: The cable supports waves with dispersion equation 2 = 2 + c2 k 2 . Here c2 = T /. The phase velocity /k is always > c, while the group velocity /k = c2 k/ is always < c. a) We seek a solution of the for...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 9 1) Conducting strip: + a A(k) = - V (x)e-ikx dx = V0 -a e-ikx dx = 2V0 sin ka k From this we have V (x, 0, y) = 2V0 - dk sin(ka) ikx -|k|y| e e . 2 k 0 (Ey |y=+ Taking the y gradients to get Ey , and then getting ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 6 1) Flexible rod again: This is a somewhat tedious, but ultimately rewarding exercise. a) Look back at your solution for homework set 4, where you showed that 1 0 u v (4) dx = [u v (3) - (u ) v + (u ) v - (u(3) ) v]1 + 0 ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 4 1) Linear Differential operators: a) Integrating by parts gives us b u|Lv w = a wu i d v dx b dx w i d wu v dx w dx L u|v w . = [iwu v]b + a a Therefore the formal adjoint is L = and the boundary term is [Q]b a ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 5 1) Missing state: The continuum eigenfunctions are are k = (-ik + tanh x)eikx , so k (x) = (k - i)eikx /i x (k + i)e-ikx /i x 0, 0. It now helps to draw a phasor diagram Im i k Re from which we see that (k) = tan-1 ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 2 1) Bent bars: First some elementary calculus: the curvature , and the radius R of the osculating circle, at a point (x, y) on a curve y(x) are given by 1 d tan-1 y d 1 y = = = = . 2 R ds dx (1 + y 2 )3/2 1+y Here the arc ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Do question one, and then as many other questions as you can. Try to answer entire questions. Little, if any, credit will be given for fragmentary answers. 1) Green Function: Consider the boundary value problem -y = f (x), y (0) = y(1) = 0. a) Const...
UIllinois >> PHYS >> 598 (Fall, 2007)
Do question one, and then any two of the other three questions. Try to answer entire questions. Little, if any, credit will be given for fragmentary answers. 1) Green Function: Consider the homogeneous boundary value problem -y = f (x), y(0) = y (1) ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 0 Differential calculus: The point of the exercise was to make sure that you know how to differentiate integrals with respect to their limits: d da and in general d dt b(t) b f (x) dx = -f (a), a d db b f (x) dx = f (b),...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 1 1) Snellius\' law: Parts a) and b) are trivial, so I will not write out the solutions. Part c) has two sub-parts: i) Setting the variation of F1 [y] to zero gives d y n(x) dx 1+y2 = 0. Now elementary calculus tells us tha...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Dielectric Sphere: Consider a solid dielectric sphere of radius a and permittivity . The sphere is placed in a electric field which is takes the constant value E = E0 ^ a long distance z from the sphere. Recall that Maxwell\'s equations require tha...
UIllinois >> PHYS >> 598 (Fall, 2007)
Here are some optional problems on integral equations. They are taken verbatim from Paul Goldbart\'s homework sets. 1) Integral equations: a) Solve the inhomogeneous type II Fredholm integral equation 1 u(x) = ex + 0 b) Solve the homogeneous type I...
UIllinois >> PHYS >> 598 (Fall, 2007)
Mathematics for Physics I A set of lecture notes by Michael Stone PIMANDER-CASAUBON Alexandria Florence London ii Copyright c 2001,2002 M. Stone. All rights reserved. No part of this material can be reproduced, stored or transmitted without the ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Physics 498/MMA Handout 9 Oct 10th 2002 Mathematical Methods in Physics I http:/w3.physics.uiuc.edu/m-stone5 Homework 9 Prof. M. Stone 2117 ESB University of Illinois 1) Conducting Strip: A thin insulated conducting strip of width 2a extends infi...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Critical Mass: An infinite slab of fissile material has thickness L. The neutron density n(r) in the material obeys the equation n = D 2 n + n + , t where n is zero at the surface of the slab at x = 0, L. Here D is the neutron diffusion constant, ...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Linear differential operators: ^ a) Consider the differential operator L = id/dx. Find the formal adjoint of L with respect to the inner product u|v = wu v dx, and find the corresponding surface term Q[u, v]. b) Now do the same for the operator M ...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Missing State: In Homework Set 4 you found that the Schrdinger equation o - has eigensolutions k (x) = eikx (-ik + tanh x) with eigenvalue E = k 2 . For x large and positive k (x) A eikx ei(k) , while for x large and negative k (x) A eikx e-i(k...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Flexible rod again: A flexible rod is supported near its ends by means of knife edges that constrain its position, but not its slope or curvature. It is acted on by by a force F (x). y x x=0 F(x) Simply supported rod. The deflection of the rod i...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Elastic Rods. The elastic energy per unit length of a bent steel rod is given by 1 Y I/R2 . 2 Here R is the radius of curvature due to the bending, Y is the Young\'s modulus of the steel and I = y 2 dxdy is the moment of inertia of the rod\'s cross ...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Test functions and distributions: Read the sections on distributions in chapter two of the lecture notes, then do the following problems: a) Let f (x) be a smooth function. i) Show that f (x)(x) = f (0)(x). Deduce that d [f (x)(x)] = f (0) (x). dx...
UIllinois >> PHYS >> 598 (Fall, 2007)
Revision and Warm-up exercises These problems are designed to exercise your basic mathematical skills. They are not designed to be easy! Each one has some twist that is designed to catch you out if you merely manipulate symbols without thinking. Diff...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Fermat\'s principle: According to Fermat\'s principle, the path taken by a ray of light between any two points makes stationary the travel time between those points. A medium is characterised optically by its refractive index n, such that the speed ...
UIllinois >> PHYS >> 598 (Fall, 2007)
Solutions to Homework Set 3 Test functions and distributions: For part a) we take any test function (x) and look at (, f + f ) - (x) {f (x) (x) + f (x)(x)} dx {[- (x)f (x) - (x)f (x)](x) + (x)f (x)(x)} dx - = = - (0)f (0), and compare it with...
UIllinois >> PHYS >> 598 (Fall, 2007)
1) Pantograph Drag: A high-speed train picks up its electrical power via a pantograph from an overhead line. The locomotive travels at speed U and the pantograph exerts a constant vertical force F on the power line. A high-speed train. We make the u...
UIllinois >> PHYS >> 598 (Fall, 2007)
This exam has four pages and six problems. Answer question one, and then any other three questions. Do not hand in solutions to more than this number of problems! Try to answer entire questions. Little, if any, credit will be given for fragmentary an...
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