Exercises 3.3

 

1.   integer

2.   real

3.   real

4.   neither – quotes denote string literal

5.   neither – this is an expression, not a literal

6.   real

7.   neither – minus may not follow literal

8.   neither – commas not allowed

9.   integer

10. neither – dollar sign not allowed

11. real

12. real

13. neither – missing mantissa

14. neither – variable name

15. neither – exponent must be an integer

16. real

17. neither – this is an expression, not a literal

18. neither – this is an expression, not a literal

19. real

20. neither – this is an expression, not a literal

 

21. 1                                                            22.   0

23.  0.9                                                         24.   0

25. 0.5                                                         26.   1    

27.  2                                                            28.   2

29. 1                                                            30.  2     

31.  12                                                          32.  12.5

33.  0                                                            34.   –15.0         

35.  –15.0                                                     36.   18

37.  3                                                            38.   1    

39.  3                                                            40.   1001

41.  1101                                                      42.  0100

43.  0011  =  3                                             44.   110100  =  52

45.                                                                4.0   46.  invalid -- Math.sqrt(-4.0) is undefined                                             

47.                                                                4.0   48.  1

49.                                                                2      50.  1

51.                                                                1      52.  7.0


53.  8.0                                                         54.  2

55.  2.66666 . . .                                           56.  20.0

57.  5.1                                                         58.  4.0

59.  6.25                                                       60.  3.0

 

61.    10 + 5 * B - 4 * A * C

62.    3 * (4 - n)) / (2 * (m * m + n * n))

63.    Math.sqrt(a + 3 * b * b)

64.    Math.sqrt((m + n) / 2)

65.    Math.abs(A / (m + n))

66.    Math.exp(x * Math.log(a))

67.    (int)(cost * 100.0 + 0.5) / 100.0

68.    (a) (int)(12.342 * 100.0 + 0.5) / 100.0

                  = (int)(1234.7)) / 100.0 = 1234.0 / 100.0 = 12.34

      (b) (int)(12.348 * 100.0 + 0.5) / 100.0

                  = (int)(1235.3)) / 100.0 = 1235.0 / 100.0 = 12.35

  (c) (int)(12.345 * 100.0 + 0.5) / 100.0

                  = (int)(1235.0)) / 100.0 = 1235.0 / 100.0 = 12.35

  (d) (int)(12.340 * 100.0 + 0.5) / 100.0

            = (int)(1234.5)) / 100.0 = 1234.0 / 100.0 = 12.34

  (e) (int)(13.0 * 100.0 + 0.5) / 100.0

                  = (int)(1300.5) / 100.0 = 1300.0 / 100.0 = 13.0

 

69.    x = (int)(x * 10.0 + 0.5) / 10.0;

70.    x = (int)(x * 1000.0 + 0.5) / 1000.0;