We need to know about logic statements to solve this problem. The solution of the logic statements are 0 and 1 respectively.
Logical operators are used to form logical statements, logical operators compute result based on boolean values true and false or binary 1 and 0. The common logical operators are AND and OR. AND is represented by ^ symbol and OR is represented by v symbol, ' means negation of the value, which means that true becomes false and vice versa. For AND operator, it works like multiplication, 0 and 1 yield 0, 1 and 1 yields 1 and 0 and 0 yields 0. For OR operator it works like addition, 0 and 1 yields 1, 1 and 1 yields 1 and 0 and 0 yields 0. For the logical statements given in the question we need to first compute the logical statement inside the bracket and then compare the inner result with the outer value.
(1'^0)^1 =(0^0)^1=0^1=0
(1v0')^(0v1)=(1v1)^(0v1)=1^1=1
Therefore we found the values of the logical statements to be 0 and 1 respectively.
Learn more about logical operators here:
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