Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
5th Edition
ISBN: 9780124077263
Author: David A. Patterson, John L. Hennessy
Publisher: Elsevier Science
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Question
Chapter 4, Problem 4.14.5E
Program Plan Intro
Pipelined control:
- An instruction gets executed through 5 stages in the instruction pipeline.
- The 5 stages of executing the instruction are:
- Instruction Fetch(IF):
- The values that are stored in the program counter are read through the address of the instructions.
- Instruction Decode(ID):
- The instructions that are given get decoded to access the required values that are stored at the registers specified in the instruction.
- Instruction Execute or address calculation(EX):
- The required arithmetic and logic operation gets performed.
- The address that utilizes the values are also gets calculated.
- Memory access(MEM):
- The operands that are stored in the memory are read and written based on the instruction that is given.
- Write back(WB):
- The values that are obtained and fetched are being written back to the required instruction.
- Instruction Fetch(IF):
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For a hierarchical carry look-ahead adder, GO can be written like below. Find the gate delay needed to obtain GO without fan-in and with a fan-in of 3 inputs.
GO=g7+p7g6+p7p6g5+p7p6p5g4+p7p6p5p4g3+p7p6p5p4p3g2+p7p6p5p4p3p2g1+p7p6p
5p4p3p2p1g0
Select one:
a.
O b.
GOO
B
B
GO without fan-in limitation will require 3 gate delays
GO with fan-in limitation of 3 will require 5 gate delays
GO without fan-in limitation will require 4 gate delays
• GO with fan-in of 3 will require 3 gate delays
C.
• GO without fan-in limitation will require 5 gate delays
GO with fan-in limitation of 3 will require 3 gate delays
O d.
GO without fan-in limitation will require 2 gate delays
GO with fan-in limitation of 3 will require 4 gate delays
1. Show that S₁ = S2 if and only if S₁ U S2 = S₁n S2.
2. Show that if S1 and S2 are finite sets with |S₁ = n and |S₂| = m, then
S₁ U S2 ≤n+m.
3. If language L is regular and is given by L ={awa : w = {a, b} *}
Then show that L² is regular.
Problem 3: Consider the two-link planar elbow manipulator shown below with link information: a₁ = 3,
a₂ = 3.
a2
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3/0
Link | a | ai | di
ai
| di | 0i |
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02
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02.
12
01
0 0 01
02
0
0
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01
To
(a) Find the location of the end-effector P° if the joint angles are:
0₁ = 140°, 0₂ = 30°
(b) Find the values of joint variables 01, 02 if the robotic manipulator is commanded to reach the desired
location of Pº = [4.5, 3,0]. Notice there are possibly two sets of solutions.
(c) Also sketch the two poses of the robot for the computed joint variables.
Page 5 of 7
Chapter 4 Solutions
Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
Ch. 4 - Prob. 4.1.1ECh. 4 - Prob. 4.1.2ECh. 4 - Prob. 4.1.3ECh. 4 - Prob. 4.2.1ECh. 4 - Prob. 4.2.2ECh. 4 - Prob. 4.2.3ECh. 4 - Prob. 4.3.1ECh. 4 - Prob. 4.3.2ECh. 4 - Prob. 4.3.3ECh. 4 - Prob. 4.4.1E
Ch. 4 - Prob. 4.4.2ECh. 4 - Prob. 4.4.3ECh. 4 - Prob. 4.4.4ECh. 4 - Prob. 4.4.5ECh. 4 - Prob. 4.4.6ECh. 4 - Prob. 4.5.1ECh. 4 - Prob. 4.5.2ECh. 4 - Prob. 4.6.1ECh. 4 - Prob. 4.6.2ECh. 4 - Prob. 4.6.3ECh. 4 - Prob. 4.6.4ECh. 4 - Prob. 4.6.5ECh. 4 - Prob. 4.7.1ECh. 4 - Prob. 4.7.2ECh. 4 - Prob. 4.7.3ECh. 4 - Prob. 4.7.4ECh. 4 - Prob. 4.7.5ECh. 4 - Prob. 4.7.6ECh. 4 - Prob. 4.8.1ECh. 4 - Prob. 4.8.2ECh. 4 - Prob. 4.8.3ECh. 4 - Prob. 4.8.4ECh. 4 - Prob. 4.8.5ECh. 4 - Prob. 4.8.6ECh. 4 - Prob. 4.9.1ECh. 4 - Prob. 4.9.2ECh. 4 - Prob. 4.9.3ECh. 4 - Prob. 4.9.4ECh. 4 - Prob. 4.9.5ECh. 4 - Prob. 4.9.6ECh. 4 - Prob. 4.10.1ECh. 4 - Prob. 4.10.2ECh. 4 - Prob. 4.10.3ECh. 4 - Prob. 4.10.4ECh. 4 - Prob. 4.10.5ECh. 4 - Prob. 4.10.6ECh. 4 - Prob. 4.11.1ECh. 4 - Prob. 4.11.2ECh. 4 - Prob. 4.12.1ECh. 4 - Prob. 4.12.2ECh. 4 - Prob. 4.12.3ECh. 4 - Prob. 4.12.4ECh. 4 - Prob. 4.12.5ECh. 4 - Prob. 4.12.6ECh. 4 - Prob. 4.13.1ECh. 4 - Prob. 4.13.2ECh. 4 - Prob. 4.13.3ECh. 4 - Prob. 4.13.4ECh. 4 - Prob. 4.13.5ECh. 4 - Prob. 4.13.6ECh. 4 - Prob. 4.14.1ECh. 4 - Prob. 4.14.2ECh. 4 - Prob. 4.14.3ECh. 4 - Prob. 4.14.4ECh. 4 - Prob. 4.14.5ECh. 4 - Prob. 4.14.6ECh. 4 - Prob. 4.15.1ECh. 4 - Prob. 4.15.2ECh. 4 - Prob. 4.15.3ECh. 4 - Prob. 4.15.4ECh. 4 - Prob. 4.15.5ECh. 4 - Prob. 4.15.6ECh. 4 - Prob. 4.16.1ECh. 4 - Prob. 4.16.2ECh. 4 - Prob. 4.16.3ECh. 4 - Prob. 4.16.4ECh. 4 - Prob. 4.16.5ECh. 4 - Prob. 4.16.6ECh. 4 - Prob. 4.17.1ECh. 4 - Prob. 4.17.2ECh. 4 - Prob. 4.17.3ECh. 4 - Prob. 4.17.4ECh. 4 - Prob. 4.17.5ECh. 4 - Prob. 4.18.1ECh. 4 - Prob. 4.18.2ECh. 4 - Prob. 4.18.3ECh. 4 - Prob. 4.18.4ECh. 4 - Prob. 4.18.5ECh. 4 - Prob. 4.18.6ECh. 4 - Prob. 4.19.1ECh. 4 - Prob. 4.19.2ECh. 4 - Prob. 4.19.3ECh. 4 - Prob. 4.19.4ECh. 4 - Prob. 4.19.5ECh. 4 - Prob. 4.19.6E
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