Determine the logical result for each Boolean expression below assuming that: in

Question

Determine the logical result for each Boolean expression below assuming that:

int m = -5, n = 8;

double x = -3.56, y = 0.0, z = 4.47e1;

bool a = true, b = true, c = false;

1. m <= n

2.   x*x < sqrt (z)

3.   2 * abs (m) <= 8

4.   int(z) == (6 * n - 4)

5.  (x <= y) && (y <=z)

6.   ! (x>y)

7.   (( m <= n) && ( x + z > y))

8.   !( m <= n ) || !( x + z > y )

9.     (( m <= n ) || ( x + z > y ))

10.   !(( m > n ) && !(x < z ))

11.   a || ! b

12.   !( a && b )

13.   ! a || b

14. ( a && b ) || c

15. a && (b || c)

Explanation / Answer

int m = -5, n = 8;

double x = -3.56, y = 0.0, z = 4.47e1;

bool a = true, b = true, c = false;

2.   x*x < sqrt (z)

-3.56 * -3.56 < sqrt(4.47e)

=12.6736 < 19.9809

= true

3.   2 * abs (m) <= 8

2 * abs(-5) <= 8

2 * 5 <= 8

10 <= 8

=false

4.   int(z) == (6 * n - 4)

Int(4.47e1) == (6 * 8 - 4)

4 == (6*4)

4 == 24

= false

5.  (x <= y) && (y <=z)

(-3.56 <= 0.0) && (0.0 <= 4.47e1)

True && True

=True

6.   ! (x>y)

! (-3.56 > 0.0)

! false

=True

7.   (( m <= n) && ( x + z > y))

((-5 <= 8) && (-3.56 + 4.47e1 > 0.0))

(true && (0.91 > 0.0))

(true && true)

= true

8.   !( m <= n ) || !( x + z > y )

!( -5 <= 8) || !(-3.56 + 4.47e1 > 0.0)

!true || !true

False || false

=false

9.     (( m <= n ) || ( x + z > y ))

((-5 <= 8) || (-3.56 + 4.47e1 > 0.0))

(true || true)

= true

10.   !(( m > n ) && !(x < z ))

!((-5 > 8) && !(-3.56 < 4.47e1))

!(true && ! true)

!(true && false)

!false

=true

11.   a || ! b

True || !true

True || false

=true

12.   !( a && b )

!(true && true)

! true

=false

13.   ! a || b

!true || true

False || true

=true

14. ( a && b ) || c

(true && true) || false

True || false

=true

15. a && (b || c)

True && (true || false)

True && true

=true

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