Minimize the following Boolean function using algebraic manipulation: F=ABC'D'+ABC'D+AB'C'D+ABCD+AB'CD+ABCD'+AB'CD'
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- Tofħinte:tis a) Express the Boolean function F =C+A'B as a sum of minterms. The function has three variables: A, B, and C.Minimize the following functions using Boolean algebra: a) F = A'.B.C.D' +A'.B.C.D+A'.B.C.D' + A.B.C.D' + A.B.C.D' + A.B.C.D' + A' B'.C'.D b) F = A'B'C' + A'B+ABC' + AC here' means inversion of the variable.Java function to Find whether a given number is a power of 4 or not Example : powerOfFourOrNot(2) -> false powerOfFourOrNot(16) -> true
- (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 expression using tabulation method ONLY: F(A,B,C) = A'BC + AB'C' + AB'C + ABC' + ABCx=0:pi/10:2*pi; y1=sin (x); xlabel ('x (rad)') ylabel ('sin (x)') title ('sine function') * plot(x,y1,'r:+') ste function 06 04 02 02 06 08 -1 Option 1 O ste function 08 06 02 02 04 06
- Minimize the following Boolean expressions: 1. [(ab' + a' b' ) + ((a + c' ) (b' + ac)) + (a'b'c')] + b' cF(x, y, z) = xyz + x(yz)' + x'(y + z) + (xyz)'floor(x) function can round the numbers to * the nearest integer towards infinity towards minus infinity O none of the above The inverse trigonometric of (tan x) function for angle in radians can be written in Matlab as: O tan(x) atand(x) tand(x) none of the above
- Define the following and give at least an example for each or use oneexample for that can explain each one of them :Substitution variableRecord variable4. Convert the following Boolean expression to the sum of minterms form. f(a, b, c) = a'b' + bc + ac' 5. Convert the following Boolean expression to the product of maxterms form. f(a, b, c) = a + bc5) yーky= 0, y(0) = 2, y'(0) = k .