Consider the following expression where (Boolean expression) represents any valid Boolean expression: True and (Boolean expression) and True This evaluates to ?
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- : Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and / (XOR), and a desired boolean result value result, create a function that counts the number of ways the expression may be parenthesized such that it evaluates to result. The expression should be completely parenthesized (for example, (0) A(1)) but not excessively (for example, (((0)) / (1))).EXAMPLE \scountEval("l/01011", false) yields 2 counts."0&0&0&1All0", true) = 10Let x and y be two Boolean variables and F(x, y) be a Boolean function defined as: ?(?,?) = ??+? Write ?(?, ?) as a sum of products.Simplify the following Boolean expression: ? = ??′? + ??′?
- 1 Simplify the following expressions. Here, b is a variable of type booleaWrite recursive functions for the following equations:a. Harmonic number is defined by the equationb. Fibonacci numbers are defined by the formula:FN = FN-2 + FN-1, for N ≥ 2 with F0 = 0 and F1 = 1(a) A student is given 3 tests, each marked out of 100. The student passes if his average mark is greater than or equal to 50 and fails if his average mark is less than 50. Prompt for the 3 marks and print pass if the student passes and fail otherwise. Write a program in C language to solve this.