Question

Определить значения логических выражений при заданных значениях переменных a и b.

a = TRUE

b = TRUE

a AND b AND NOT a OR a OR NOT b

NOT a AND (b AND a) OR (a OR NOT b)

NOT ((a AND b) AND a) OR a OR NOT b

Answer 1

a=TRUE, b=TRUE, (NOT a) = FALSE, (NOT b) = FALSE
1) a AND b AND (NOT a) OR a OR (NOT b) =
= TRUE AND TRUE AND FALSE OR TRUE OR FALSE =
= FALSE OR TRUE OR FALSE = TRUE
2) (NOT a) AND (b AND a) OR (a OR (NOT b)) =
= FALSE AND (TRUE AND TRUE) OR (TRUE OR FALSE) =
= FALSE OR TRUE = TRUE
3) NOT ((a AND b) AND a) OR a OR (NOT b) =
= NOT ((TRUE AND TRUE) AND TRUE) OR TRUE OR FALSE =
= NOT (TRUE) OR TRUE = TRUE