Question

In: Computer Science

Write two simple logical statements in English. Negate your second simple statement. Then write out a...

Write two simple logical statements in English. Negate your second simple

statement. Then write out a compound statement using your first simple statement and the

negated statement with the following connectives. In each case evaluate the truth value of your

compound statement.

(a) Logical AND

(b) Logical OR

(c) Logical XOR

(d) Logical implication

Expert Solution

Statement 1: I'm 24 years old

Statement 2: I'm a boy

The negation of Statement 2: I'm not a boy

a) Logical AND

I'm 24 years old AND I'm not a boy

I'm 24 years old	I'm not a boy	I'm 24 years old AND I'm not a boy
T	F	F
T	T	T
F	F	F
F	T	F

b) Logical OR

I'm 24 years old OR I'm not a boy

I'm 24 years old	I'm not a boy	I'm 24 years old OR I'm not a boy
T	F	T
T	T	T
F	F	F
F	T	T

c) Logical XOR

Either I'm 24 years old, or I'm not a boy, but not both

I'm 24 years old	I'm not a boy	Either I'm 24 years old, or I'm not a boy, but not both
T	F	T
T	T	F
F	F	F
F	T	T

d) Logical implication

if I'm 24 years old, then I'm not a boy

I'm 24 years old	I'm not a boy	if I'm 24 years old, then I'm not a boy
T	F	F
T	T	T
F	F	T
F	T	T

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venereology answered 1 year ago

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