Question

(A&B) &C=A&(B&C) Постройте таблицу истинности

Answer 1

Объяснение:

& не стоит у меня, но выполняет свои действия, у себя его ставьте!

= – это ~

Answer 2

To build the truth table for the logical expression "(A&B)&C = A&(B&C)," we need to evaluate the expression for all possible combinations of truth values for the variables A, B, and C. There are 2^3 = 8 possible combinations since each variable can take two truth values (True or False). Let's create the truth table:

A	B	C	(A&B)&C	A&(B&C)
T	T	T	T	T
T	T	F	F	F
T	F	T	F	F
T	F	F	F	F
F	T	T	F	F
F	T	F	F	F
F	F	T	F	F
F	F	F	F	F

In this truth table, "T" represents True, and "F" represents False. As you can see, the expressions "(A&B)&C" and "A&(B&C)" have the same truth values for all possible combinations of A, B, and C. Hence, the logical expression "(A&B)&C" is equivalent to "A&(B&C)."