. Let F(X, Y, Z)=(X + Y + Z)(X + Y + Z)(X + Y + Z)(X + Y + Z). Use a 3-variable K-Map to find the minimized SOP form of this fun
ction. Hint: When you go to fill in the K-Map, you may have trouble figuring out where to put the 0s and 1s because F is specified in POS form. Your first impulse may be to try to multiply out these terms to convert it into SOP form, and then use that to fill in the K-Map. This would be logically correct but a ton of work. Instead you can use the POS form to determine where to place the 0s in the K-Map. For example, the first term (X+Y +Z) implies that you should put a zero in the square that corresponds to (X + Y + Z¯). Now use DeMorgan’s to see that (X + Y + Z¯) = X ·Y ·Z and place a 0 in the corresponding square. Repeat this for all the product terms; then you can fill in 1s in the squares without 0s.
1 answer:
Answer:
Kindly see explaination
Explanation:
The k-map van be defined as a map that provides a pictorial method of grouping together expressions with common factors and therefore eliminating unwanted variables. The Karnaugh map can also be described as a special arrangement of a truth table.
Please kindly check attachment for the 3-variable K-Map to find the minimized SOP form of the function in the question.
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Answer:
import random
def ran(lower_bound, upper_bound):
return random.randrange(lower_bound, upper_bound)
print(ran(3, 8))
Explanation:
The programming language used is python.
Modules are imported using the import keyword. In the first line the random module is imported.
A function ran is defined and it has two parameters, lower and upper bound that wll be passed to the function from random module.
The random module is a module that is used to generate random numbers, it is a very common module in programming, some of the popular functions in the module are random.randint and random.randrange. There are several other functions but these are the most common. the randint(a, b) takes two arguments and returns a random integer between the two arguments.
randrange(start, stop, step); It can take up to three arguments but has only compulsory argument that must be given for it not to generate an error and that is the stop.
when only the stop is defined, it assumes the start as zero and creates a range from 0 - stop and returns a random number within that range.
When start and stop arguments are given, it returns a number within the range of start - stop.
Start and stop must be given for there to be a step, if the step is given, it means the array containing the range of numbers will skip a step after each number.
The program makes use of the random.randrange(start, stop) and the upper and lower bounds are passed as its arguments.
Finally, the function is called and its return value is printed to the screen.
