COMPUTER ORGANIZATION+DESIGN >I<
COMPUTER ORGANIZATION+DESIGN >I<
5th Edition
ISBN: 9781541868397
Author: Patterson
Publisher: ZYBOOKS (CC)
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Chapter 3, Problem 3.36E
Program Plan Intro

Given numbers: 3.41796875×103, 6.34765625×103 and 1.05625×102.

Binary Multiplication:

Binary multiplication follows the following rules:

0 x 0 = 00 x 1 = 01 x 0 = 01 x 1 = 1

Given Information:

A, B and C are stored in 16-bit half precision format.

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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 S 3/0 Link | a | ai | di ai | di | 0i | มา 02 21 02. 12 01 0 0 01 02 0 0 02 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
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