Answered: H.ws Find L.Ti- -3+ e Sin (21) t

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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1:10 1 Logic ..Desi تصمیم منطقي طالبات218 ( 1. Convert the following Boolean function from a sum-of-products form to a simplified product-of-sums form. F(x, y, z) = E (0, 1, 2, 5, 8, 10, 13) 2. Simplify the following Boolean function F, together with the don't-care conditions d, and then express the simplified function in sum-of-minterms form: a) F(x y z) Σ(0, 1,4,5, 6) d (x y, z) Σ(2,3, 7) b) F (A, B, C, D) = Σ(5,6, 7, 12, 14, 15,) d(A, B, C, D) = 2(3,9, 11, 15) By Ag B2 A2 В, A, Bo C2 FA FA FA FA Go Sz D
Using the following variable bindings: (setq x ‘(a b c d)) (setq y ‘(1 2 3 4)) Using only variables x and y, car, cdr, and cons, provide Lisp S-expression to generate: (a 1) (b 2) (c 3) (d 4))
THEORY OF COMPUTATION(OTOMATA THEORY)
1- Express the following function as a sum of products and as a product of sums. F(w, x, y, z) = yw+xw+z'w' 2- Convert each of the following to the other canonical form a. F(x,y,z) = {(1,2,6) b. F(w, x, y, z) = (2,4,8,9)
Fully β-reduce the following expressions, show β reduction steps 2. (λ a . λ i . a i) (λ a . i a)
Convert each of the following to the other canonical form: F ( A , B , C , D ) = Π ( 3 , 5 , 8 , 11 )
, dinu Part III 20) Make the truth table for P+Q*R → P'+Q+R' and state if it a tautology
Source:https://www.mog.dog/files/SP2019/Sipser_Introduction.to.the.Theory.of.Computation.3E.pdf
3. Based on the definitions of big-Oh and 2, derive the upper and lower bounds for the following expressions: (а) сn (b) czn3 + c3 (c) can log n+ C5n (d) c62" + c7n6
13. Convert the standard sum of product form to canonical sum of product form forthe following Boolean function:F = CD + DE
Using the following variable bindings: (setq x ‘(a b c d)) (setq y ‘(1 2 3 4)) Using only variables x and y, car, cdr, and cons, show Lisp S-expressions to generate:
Use only the variables x and y and functions car, cdr and cons, provide Lisp S-expressions for generating the following: (d c b a) (4 c (b 2)) ((a b c d) . 1) (((a c) (1 2)) . a) ((a 1) (b 2) (c 3) (d 4))

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