Write out a truth table (including all four cases) for the following expressions. Here, p,q and r represent simple statements that can be true or false. a) ~p . q . ~r
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Write out a truth table (including all four cases) for the following expressions. Here, p,q and r represent simple statements that can be true or false.
a) ~p . q . ~r
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- Suppose the value of b is false and the value of x is 0. What is the value of each of the following expressions?Which of the following statements is/are correct? I. The language L accepts all the strings of a's and b’s where the third symbol from left end is b. The regular expression for L is (a + b)² b(a+b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab*ab*)* . III. The regular expression R =(a+b)" . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (С) II and III (D) All are correctWhich of the following statements is/are correct? I. The language L accepts all the strings of a's and b's where the third symbol from left end is b. The regular expression for L is (a + b) b(a + b)*. II. The language L accepts all the strings of a's and b's where the number of a's in a string is divisible by 3. The regular expression for L is (b* ab* ab* ab* )*. III. The regular expression R=(a+b)“ . The number of states required to construct the minimal DFA for the regular expression R is n+2. (A) I and II (B) I and III (C) II and III (D) All are correct
- Scenario As you surely know, due to some astronomical reasons, years may be leap or common. The former are 366 days long, while the latter are 365 days long. Since the introduction of the Gregorian calendar (in 1582), the following rule is used to determine the kind of year: if the year number isn't divisible by four, it's a common year, otherwise, if the year number isn't divisible by 100, it's a leap year. otherwise, if the year number isn't divisible by 400, it's a common year. otherwise, it's a leap year. none of the above year int(input("enter the year")) if (year%4 1-0) and (year%400 -0) or (year % 1000): print (year is common year") else: print(year, is leap year") year= int(input ("enter the year")) if (years !-0) or (year480 1-0) and (year % 1001-0): print(year is common year") else: print(year, "is leap year") D year= int(input("enter the year"))Write a function product or sum(num1, num2) that takes two int parameters and returns either their sum or their product, whichever is larger. In the first example below, the sum (17+ 1) is greater than the product (171), so the sum is returned. In the second example, the product (211) is greater than the sum (2+11), so the product is returned For example: Test Result print (product or sum(17, 1)) 18 print (product or sum(2, 11)) 226- Write a program to read three numbers A,B,C then find whether A,B,C can form the sides of a triangle, if yes compute the parameter of the triangle, if no print the massage ( not a triangle), then determine whether A,B.C form the side of an (a)) equilateral triangle b) isosceles triangle ,c)) right angle triangle Hint: (A,B,C can form a triangle if each side is less than the sum of the other two sides)
- Write a program to check the divisibility of two numbers. Use the concept of default argument here. If the number is not divisible, check whether the first number is a prime or not, using the previously defined divisibility check function.What is the value of each of the following Boolean expressions? 54 3=3 2+45 6==7 2+4=6 3+4==4+3 1!=2 2!=2 5==72 3+9=0Modify the extended BNF (EBNF) in the answer box below to include: 1. if-then-else-end statements (in addition to the if-then statements it already includes) 2. read statements of the form read į that reads a value and stores it in the variable with identifier i 3. write statements of the form write e that print the value of the expression e Notes: ● ● Tokens must be written in lowercase letters, e.g. if, identifier. (The provided EBNF shows terminals in a monospaced font, but you do not need to worry about monospacing for your answers.) Non-terminals must start with a capital letter, e.g. If, Expression. (The provided EBNF shows non-terminals in italics, but you do not need to worry about italics for your answers.) Program = Statements Statements = Statement (; Statement)* Statement = If | While | Assignment If = if Comparison then Statements |--Choose-- While = while Comparison do Statements end Assignment = identifier := Expression Read = Write = Comparison = Expression Relation…
- Write the following function to draw a regular polygon:def drawPolygon(x = 0, y = 0, radius = 50, numberOfSides = 3):The polygon is centered at (x, y) with a specified radius for the bounding circle for the polygon and the number of sides. Write a test program that displays a triangle, square, pentagon, hexagon, heptagon, and octagon, as shown in Figure 6.12a.Let p be the statement "I celebrate" and q be the statement "Bangladesh wins". [Hint: The following statements express p→q:“if p, then q”, “p implies q”, “if p, q”, “p only if q”, “only if q, p”, “p is sufficient for q”, “a sufficient condition for q is p”, “q if p”, “q whenever p”, “q when p”, “q is necessary for p”, “a necessary condition for p is q”, “q follows from p”, “q unless ¬p”] c). Which of the following expresses contrapositive of p→q?. 1. I am sad whenever Bangladesh loses. 2. Only if Bangladesh loses, I am sad. 3. I am sad only if Bangladesh loses. 5. A necessary condition for me to be sad is Bangladesh's loss.Let p be the statement "I celebrate" and q be the statement "Bangladesh wins". [Hint: The following statements express p→q:“if p, then q”, “p implies q”, “if p, q”, “p only if q”, “only if q, p”, “p is sufficient for q”, “a sufficient condition for q is p”, “q if p”, “q whenever p”, “q when p”, “q is necessary for p”, “a necessary condition for p is q”, “q follows from p”, “q unless ¬p”] d)Which of the following expresses inverse of p→q?. 1. Bangladesh loses whenever I am sad. 2. Only if I am sad, Bangladesh loses. 3. Bangladesh loses only if I am sad. 4. A necessary condition for Bangladesh to lose is my sadness.