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Chapter 3: Representing Numbers and Text in Binary Key
1. Not all text can be translated into binary code.
2. Unicode provides sufficient characters to encode languages such as English, Arabic, and Chinese that use
different character sets.
3. An upper case letter and a lower case letter, such as “a” and “A” are always represented using the same 8-bit
binary code.
4. The hexadecimal numbering system uses 16 characters.
5. The octal numbering system uses 8 characters.
6. Negative numbers can not be represented in binary.
7. Using binary addition, 1 + 1 = 0 with a carry of 1.
8. Using binary addition, 1 + 1 + carry of 1 = 1 with a carry of 0.
9. The decimal number 9 is equal to 1001 in binary.
10. The decimal number 130 is equal to 10000011 in binary.
11. The decimal number 8 is equal to 1000 in binary.
12. The binary number 100011 equals 37.
13. x bits can represent 2x decimal numbers ranging from 0 to 2x-1.
14. The binary number 01001 equals the decimal number 9.
15. The decimal number 10 equals the binary number 1010.
16. The BCD representation of the decimal number 7 is 1111.
17. Each octal number can represent 3 bits.
18. Each hexadecimal number can represent 16 bits.
19. The decimal number 712 is equal to 011100010001 in BCD.
20. Positive non-integers can be represented in binary.
21. The hexadecimal number F represents the binary code 1111.
22. The hexadecimal number A represents the binary code 1000.
23. The binary code 1011 can be represented in hexadecimal by the letter B.
24. Step size of a range of numbers is equal to Range/2number of bits.
25. BCD uses 2 bits to represent decimal numbers.
26. Binary Coded Decimal encodes each digit in a decimal number individually rather than converting the entire
number.
27. 2-5 = 0.03125.
28. 20 = 0.
29. Two alternative numbering systems to decimal and binary are octal and ____________________.
30. EBCDIC stands for Extended Binary ____________________ Decimal Interchange Code.
31. ASCII stands for ____________________ Standard Code for Information Interchange.
32. The decimal numbering system is called the Base ____________________ system.
ten
33. The ____________________ numbering system is called the Base 8 system.
34. The following numbers are counting in octal. Complete the next number in the sequence: 0, 1, 2, 3, 4, 5, 6,
7, 10, 11, 12, 13, 14, 15, 16, 17, ____________________.
35. The following numbers are counting in hexadecimal. Complete the next number in the sequence: 0, 1, 2, 3,
4, 5, 6, 7, 8, 9, A, B, C, D, E, F, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1A, ____________________.
36. BCD stands for ____________________.
37. Negative numbers are represented in binary using 2’s ____________________ Notation.
38. Using binary addition: 0 + 0 = ____________________.
39. Using binary addition: 0 + 1 = ____________________.
40. Using binary addition: 1 + 0 = ____________________.
41. The 8-bit 2’s complement of -5 = ____________________.
42. The binary code 000010010100 equals ____________________ in octal.
43. The octal number 724 equals ____________________ in binary.
44. The hexadecimal numering sytem is also called ____________________.
Hex or
45. The hexadecimal numbering system uses ____________________ characters.
46. The hexadecimal number 1A equals ____________________ in binary.
47. The binary sequence 1100 can be represented by the hexadecimal character ____________________.
48. The binary sequence 1011 can be represented by the hexadecimal character ____________________.
49. The BCD number 00010111 equals the decimal number ____________________.
50. The BCD number 10010001 equals the decimal number ____________________.
51. The decimal number 235 equals the BCD number ____________________.
52. Computing devices process, store, and transmit information in ____________________.
53. Every computing device connecting to the Internet uses a unique identifier, known as a(n)
____________________ address.
54. The binary number 100001 equals the decimal number ____________________.
55. The decimal number 16 equals the binary number ____________________.
56. 2-4 = ____________________.
57. Which of the following is a standard for representing alphanumeric text?
A. Binary coded decimal
58. Unicode can represent at least how many unique characters?
59. The Extended ASCII standard assigns how many bits for each alphanumeric character?
60. The simple ASCII standard assigns how many bits for each alphanumeric character?
61. An 8-bit code can represent how many unique characters?
62. Using the Extended ASCII chart, what is the binary code that represents a “space”?
63. Using the Extended ASCII chart, what is the binary code that represents a lower case “b”?
64. Using the Extended ASCII chart, what is the binary code that represents an upper case “B”?
65. Hexadecimal is called which of the following?
66. The binary numbering system uses how many numbers?
67. The decimal system uses how many numbers?
68. In the decimal number 245, the 4 occupies which of the following:
69. In the binary number 101, the rightmost 1 occupies which of the following?
70. In the binary number 101, the leftmost 1 occupies which of the following?
71. In the binary number 10101, the leftmost 1 occupies which of the following?
72. Binary is called which of the following?
73. The binary number 1000 is equal to what in decimal?
74. The binary number 10000 is equal to what in decimal?
75. The decimal number 17 is equal to what in binary?
76. The decimal number 16 is equal to what in binary?
77. The binary number 111 is equal to what in decimal?
78. Convert 23 into binary coded decimal. Which of the following is the answer?
79. The following binary coded decimal number 0100 equals which of the following?
80. The hexadecimal number 2B converted into binary is ____.
81. The hexadecimal number F1B converted into binary is ____.
82. What is the purpose of “dotted decimal format?”
83. What is binary coded decimal?
84. To represent negative decimal numbers in binary, why can’t we just add an extra “sign bit” in front of the
number, such as adding a 0 if it’s positive and a 1 if it’s negative?
85. Why would anyone ever need an alternative numbering scheme like octal or hexadecimal?
86. Why is Unicode an important standard?
