Question

For each of the following, assume that we are using a 32-bit system with single-precision (32-bit) floating point numbers (floats) in IEEE format, double-precision (64-bit) doubles in IEEE format, and 32-bit integers. Which of the following evaluate to true for all argument values? (Circle each that is always true).

char c = ..

int x = ..

short y = ..

float f = ..

double d = ..

1. c == (char)(float) c
2. y == (short)(int) y
3. f == (float)(double) f
4. d == (double)(float) d
5. y == -(-y)
6. f == -(-f)
7. 3/4 == 3/4.0
8. x == (x<<2)>>2
9. y == (y>>2)<<2
10. x<y == -x>-y

Answer 1

c == (char)(float) c     (True)
    y == (short)(int) y       (True)
    f == (float)(double) f   (True)
    d == (double)(float) d   (False)
    y == -(-y)       (True)
    f == -(-f)       (True)
    3/4 == 3/4.0   (false)
    x == (x<<2)>>2   (false)
    y == (y>>2)<<2   (false)
    x<y == -x>-y   (True)