Consider the following two assertions. Assume x is a specific but unknown real number.a. x < 2 or it is false that 1 < x < 3.b. x≤ 1 or either x < 2 or x≥ 3.Define statement letters for each of the individual statements (e.g., x < 2 is a statement). Hint: three statement letters will suffice. Using those statement letters, rewrite a and b as two logical expressions. Construct a truth table to show that a and b are logically equivalent.

1. Consider the following statements: DATAENDFLAG is off; ERROR equals 0; and SUM is less than 1024. Express the following sentences in symbolic notation: (i) DATAENDFLAG is off, ERROR equals 0, and SUM is less than 1024. (ii) (iii) (iv) DATAENDFLAG is off but ERROR is not equal to 0. DATAENDFLAG is off; however, ERROR is not 0 or SUM is greater than or equal to 1024. Either DATAENDFLAG is on or it is not the case that both ERROR equals 0 and SUM is less than 1024. (v) If DATAENDFLAG is off and SUM is less than 1024, then ERROR equals 0.

Write a logical proof to prove that the following argument is valid. (¬t A s) → ¬r (¬q v p) → s .. ¬r V u There are two ways to submit answers to this question: 1) Enter in essay box directly. Note that logical expressions must be entered in Math mode, which begins with \(, and end with \). Below is a list of LaTex code for each logical operator. V \vee A \wedge - \neg → \to + \leftrightarrow

For each of the following statements, determine whether they are true or false. If false, write their logical negation (distributing the ¬ across any expressions as necessary) and explain how this negation is true. In each of these, x and y are assumed to be integers. (a) (∀x)(∀y)((y > x) ⇒ (x = 0)) (b) (∃x)(∀y)((y > x) ⇒ (x = 0)) (c) (∀x)(∃y)((y > x) ⇒ (x = 0)) (d) (∀x)(((∀y)(y > x)) ⇒ (x = 0))

8. Verilog.(a) What does statement "always @ (sel or b or c)" mean?(b) Give any two Verilog statements which can be synthesized. And give any two different statements which cannot be synthesized.(c) What is the difference between blocking statements and non-blocking statements? Give an example of each.

Simplify The Following Expression To A Minimum Number of Literals: ab'cd'e+e'h'+abcd'e+acd+ acf'gh' + acde'   Note :- Do not quote a question solve that has already been solved because it is wrong.  Do not answer a question if you are not 100% sure.

Provide a real-world example of when you would use each by creating a pseudocode representation of the programming problem.For example: if it is raining then             take an umbrella endif if it is raining then           take an umbrella else          bring sunscreen endif Also, answer the following: What does the "then" in the clause stand for? What does the "else" stand for?

1. Consider the following statements: P(x, y) ="Er R such that Vy ER, x+y=0" Ry R such that 2+y=0" Q(x, y) = "Vr Explain the difference between what these two statements are claiming. Which of them is true and which of them is false?

2. Let A(x) be the statement "x has apples," C(x) be the statement "x has cherries," and B(x, y) be the statement "x is better than y," where the domain of x and y consists of all pies. Which logical expression corresponds to the following statement? "There is some pie that has apples that is better than every pie that has cherries." a. 3xVy(A(x) ^ (C(y) → B (x, y))) b. xvy(A(x)^C(y) ^ B (x, y)) c. xvy((A(x) ^ C(y)) → B (x, y)) d. 3xVy(A(x) → (C(y) ^ B (x, y)))