4332(Show your work.) Suppose the irreducible polynomial of GF (24) isP(x) = x² + x + 1. Find x³· (x³ + x² + 1) inGF (24)A) XB) x 1c) x 6 + x 5 + x³D) x + x

Step 1: Step 2: Step 3: Step 4:

Answered: 4 3 3 2 (Show your work.) Suppose the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Q.1.(a) (i) Use Karnaugh map to minimize the following SOP expression and also implement the simplified expression. 04 Y = A'BC + A’B'C' + ABC' + AB'C'
5. For function f(x) = 6 – x² on R, find: a) f(-5) b) f(3 – h) – f(8)
5. Prove that H(X,Y)=H(X/Y)+H(Y) =H(Y/X) +H(X)
GF(8) is defined like GF(256) except the polynomials all have degree less than 3 and the modulus is + x + 1. Which of the following is the multiplicative inverse of O10 in GF(8)? 001 011 110 100 None of these
(3a2 +2)(5a+4) 5ar3 +1 E O(x"). Indicate the least integer n for which
2- y = e(x+1)
Problem_#04] Use a Karnaugh map to find the simplified SOP expression for: (a) ABC + ABC + ABC (b) АC(В + C) (c) A(BC + BC) + A(BC + BC) (d) АВС + AВС + АВС + АВС
HW3_3 Using built-in functions a) Use the built-in function roots to find all the roots of the polynomial g(x) = x¹+65x³ + 86x + 128. Print your results. b) Given f(x) = x³ – 5x + 10 and g(x) = 4 sin(3x) + 6 Graph these two functions (using different colors for the lines) such that all intersection points are shown. Solve for the intersection points and plot them on the graph with red stars. Use the built-in function brentq. Note: Import appropriate libraries.
2. (a) Compute and simplify f = b'c(a + b)'(ab'c + a)'(a'c + b) (b) Prove or disprove that in any Boolean algebra, B: [xa=ya and xa'=ya'] imply x = Y, Va, x,y e B
1- Simplify this (A+B) (A+C) 2- Prove that (X + Y) (X+Y)= X
(2n)! 2n=0 4n(n!)² (2n+1) x2n+1 use the same Q4: Exploit the questions above to compute arcsin(x) = Eo function to compute the factorial and the termination condition is that the value of nth term is less than 0.001.
(b) Let x = 1e16 (a very large number). How big is the "gap" nextfloat(x)-x? (c) The "gap" at 1.0 is like 1e-16, a small number. How small is the gap at 0.0. Answer with just the exponent (which would be -16 were we talking about 1.0).

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4 3 3 2 (Show your work.) Suppose the irreducible polynomial of GF (24) is P(x) = x² + x + 1. Find x³· (x³ + x² + 1) in GF (24) A) X B) x 1 c) x 6 + x 5 + x³ D) x + x