Find propositional logic formulas expressing the following statements:

Q: subject : theory of computer science    The regular expression (a+b)*a(a+b)*a(a+b)* will always…

A: The above question is solved in step 2:-

Q: Regular Expression

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A: The above problem is on discrete mathematics.

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Q: Verify statement using laws of logic.  (∼p v ∼q v r) v (∼p v q v ∼s) v (p v q v r) ᴧ (p v ∼q v ∼s)…

A: The following is the solution

Q: Explain what the following conditional expression does. (int) (Math.random() * 2) 0 ? -1 : 1;

A: Given: explain what the following conditional expression does.(int)(Math.random()*2)==0?-1:1;

Q: w is in {a,b} * /

A: Solution - In the given question, we have to Construct a regular expression for L = { w is in {a,b}…

Q: a'bc + abc' + abc + a'bc'

A: a'bc + abc' + abc + a'bc' Take common a'b from given equation   = a'b ( c + c ' ) + abc' + abc  Take…

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Q: 1) Define function for "Conjunction" "Disjunction" "Conditional" "Biconditional 2) Print the truth…

A: Conjunctions : When two statements are connected with an 'and,' you have a conjunction. For…

Q: Write an example using proof by induction

A:

Q: Liam is planning out his route for an upcoming nature hike. Unfortunately, the region that he plans…

A: Solution::

Q: Write an expression in C that is true if and only if but 5 of the integer variable “x” is a 1.

A: Her our task is to develop a C program that accepts a 5 integer array x as input which has to return…

Q: Construct a regular expression for L = { w is in {a,b} * / |w| is divisible by 4 }

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Q: Simplify this boolean expression: AB(AB+E) (don't leave blank spaces in your answer) In each term,…

A: Let's simplify the Boolean expression step by step:

Q: Suppose n e Z. (That is, throughout this question, n is an arbitrary integer; you cannot pick a…

A: Given: P: If 7n+5 is odd, then n is even. Requirement: Find contrapositive of P

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Q: A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket…

A: Here is the matlab program of the above problem. See below steps for code.

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A: We need to write a program to find the velocity of mars, earth, mars. See below steps for code.

Q: Q5\A) The Amplitude Modulation (AM) is a technique used in communication for transmitting…

A: Fs = 800e3;   dt = 1/Fs;   t =  (0:dt:0.002-dt)';    Fm = 5000;   y = cos(2*pi*Fm*t);    figure;…

Q: example for each logical operators -negation -conjuction -disjunction -conditional…

A: here have to determine  example for each given logical operators.

Q: c) Create a truth table for the Boolean function Y = – (A A B).

A: In the given question we have to create a table for the boolean function:…

Q: Wirte a matlab code to plot the 3D image of a helix:  Use the following parameters and equations…

A: This MATLAB code aims to generate a 3D representation of a helix. The helix is defined…

Q: Simplify the following Boolean expressions to a minimum number of literals:  (e) (a + b + c')(a' b'…

A: (e) Given Boolean expression is, (a + b + c')(a' b' + c) It can simplified as:…

Q: Simplify the following Boolean equations using Boolean theorems: Y = (A + B)(Ā + B)

A: According to the Question below the Solution: