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In: Computer Science

Topic 2 TRUE OR FALSE Q’s 31.          A natural number is the number 0 or any...

Topic 2 TRUE OR FALSE Q’s

31.          A natural number is the number 0 or any number obtained by adding 1 to a natural number.

32.          The category of numbers called integers includes negative numbers.

33.          A rational number is any number that can be expressed without a fractional part.

34.          The base of a number system determines the number of digits used in the system.

35.          The digits used in any base are 1 through the base number.

36.          The base of the hexadecimal number system is 15.

37.          A number in any base can be expressed using a positional notation.

38.          The letter C is used to represent the number 11 in hexadecimal.

39.          The number 10 represents the base value in every number system.

40.          Representing a number in base 5 sometimes requires more digits than representing that same number in base 10.

41.          The value of each position in a number system is determined by subtracting the base from the position number.

42.          A byte is made up of eight binary digits.

43.          Two hexadecimal digits can be stored in one byte.

44.          Starting from the right, every group of four binary digits can be read as one hexadecimal digit.

45.          To find the decimal equivalent in a new base you just divide the decimal value by the new base.

Solutions

Expert Solution

31. A natural number is the number 0 or any number obtained by adding 1 to a natural number.

Correct Answer: False

The natural number start from the 1 and 0 is not a natural number.

32. The category of numbers called integers includes negative numbers.

Correct Answer: True

An integer is a number without fraction including 0 and negative number.

33. A rational number is any number that can be expressed without a fractional part.

Correct Answer: False

A rational number is a number which can be represented in the form of p / q.

34. The base of a number system determines the number of digits used in the system.

Correct Answer: True

35. The digits used in any base are 1 through the base number.

Correct Answer: False

The digits used in any base are 0 through the base number - 1.

36. The base of the hexadecimal number system is 15.

Correct Answer: False

The base of the hexadecimal number system is 16.

37. A number in any base can be expressed using positional notation.

Correct Answer: True

38. The letter C is used to represent the number 11 in hexadecimal.

Correct Answer: False

The letter C is used to represent the number 12 in hexadecimal.

39. The number 10 represents the base value in every number system.

Correct Answer: False

The base value of every number system is different.

40. Representing a number in base 5 sometimes requires more digits than representing that same number in base 10.

Correct Answer: True

41. The value of each position in a number system is determined by subtracting the base from the position number.

Correct Answer: False

42. A byte is made up of eight binary digits.

Correct Answer: True

43. Two hexadecimal digits can be stored in one byte.

Correct Answer: True

A hexadecimal digit is a group of four binary digits and a byte is a group of eight binary digit.

44. Starting from the right, every group of four binary digits can be read as one hexadecimal digit.

Correct Answer: True

A hexadecimal digit is a group of four binary digits.

45. To find the decimal equivalent in a new base you just divide the decimal value by the new base.

Correct Answer: True

For any other base to decimal conversion, we need multiplication.


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