Simplify these Boolean expressions as much as possible: a) ((A+D)(C'+B')'+C) b) A'B+CA'D+B'+D' c) (A+(AB)'+C(AB)')(A+BA'+B')
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- PaoBLEM# 39 I Simplify the following expressions using Boolean algebra. Cite the laws and therorems used. • AB + A(CD + CD') • (BC' + A'D) (AB' + CD')(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.: Simplify the following Boolean expressions to a minimum * :number of literals F = abc + (a + c) + ābc
- (a) If r and s are regular expressions, explain why (r+s)* + r* + s* . (b) Also carefully explain why (r*s*)* = (r + s)* .: Reduce the following Boolean expressions to their simplest form *: F = abc + (a + c) + bc (number of literals)bläi 10 Let the boolean expression :: F= (X + Y)(XZ + XZ) + XY + Y ((do the following)) 1- Implement the expression before and after simplified. 2- simplify using boolean algebra * Jaws
- Solve the postfix expressions using appropriate data structures. 1. 456-*4/5 +b) What is the difference between (x+H), (x+-), and (--x). c) Write the purpose for the use of the following: =, |I, //int f(int &k){k++;return k * 2;}int main(){int i = 1, j = -1;int a, b, c;a = f(i) + i/2;b = j + f(j) + f(j);c = 2 * f(j);return 0;} What are the values of a, b and c id the operands in the expressions are evaluated from left to right and then what are the values when its evaluated right to left?
- 6. Find the errors from the following code. a. T=[a,b,c] printlh (T) b. for i in 1 to 100 : print (1) c. i=10 while [ib) print (a): else if (aWrite the following expressions in C language using functions from the math library: 1. e-10r 2. In(y) 3. arcsin(.5) 4. cos(30°), 5. (a-b) 6. VA 7. cos (x² + y*), TR 8. V =- 3 tan e R -(R-y tan 6)*| tan e 3(1) (a) Let r, 1, and r, be regular expression. Find all the regular ones from the following expression s: 2, r'-0. ((r')). r), n -n +½. (b) Given a regular expression 7; = a(ab)* +b°a*, r, = (b + a)* +a*, find L(;) and L(r,), the languages associated with i and r3, respective ly. (c) Find a regular expression r such that L(r) is the same as L = {b"ab",(ba)* : n, m2 0,h2 1}. %3DSEE MORE QUESTIONS