Question 1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary numbers and why? To answer, refer to Table 2.1 and consider the following: a. which base, hex or octal, will require fewer digits to represent a binary number? And b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to represent an 8-bit (1-byte) binary number? Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including explanations, in your lab journal. Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Decimal Binary Octal Hex Decimal Binary Octal Hex 00 0000 00 00 56 11 1000 70 38 01 0001 01 01 57 11 1001 71 39 02 0010 02 02 58 11 1010 72 ЗА 03 0011 03 03 59 11 1011 73 3B 11 1100 11 1101 04 0100 04 04 60 74 3C 05 0101 05 05 61 75 3D 06 0110 06 06 62 11 1110 76 ЗЕ 07 0111 07 07 63 11 1111 77 3F 08 1000 10 08 64 100 0000 100 40 09 1001 11 09 65 100 0001 101 41 10 1010 12 OA 66 100 0010 102 42 11 1011 13 OB 67 100 0011 103 43 12 1100 14 OC 68 100 0100 104 44 13 1101 15 OD 69 100 0101 105 45 14 1110 16 OE 70 100 0110 106 46 15 1111 17 OF 71 100 0111 107 47

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary
numbers and why?
To answer, refer to Table 2.1 and consider the following:
a. which base, hex or octal, will require fewer digits to represent a binary number? And
b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to
represent an 8-bit (1-byte) binary number?
Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including
explanations, in your lab journal.
Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and
hexadecimal (base 16).
Decimal Binary Octal Hex
Decimal
Binary Octal Hex
00
0000
00
00
56
11 1000
70
38
01
0001
01
01
57
11 1001
71
39
02
0010
02
02
58
11 1010
72
ЗА
03
0011
03
03
59
11 1011
73
3B
04
0100
04
04
60
11 1100
74
3C
05
0101
05
05
61
11 1101
75
3D
06
0110
06
06
62
11 1110
76
ЗЕ
07
0111
07
07
63
11 1111
77
3F
08
1000
10
08
64
100 0000
100
40
09
1001
11
09
65
100 0001
101
41
10
1010
12
OA
66
100 0010
102
42
11
1011
13
OB
67
100 0011
103
43
12
1100
14
OC
68
100 0100
104
44
13
1101
15
OD
69
100 0101
105
45
14
1110
16
OE
70
100 0110
106
46
15
1111
17
OF
71
100 0111
107
47
Transcribed Image Text:Question 1. Which base, hex or octal, is more commonly used today as a shorthand representation for binary numbers and why? To answer, refer to Table 2.1 and consider the following: a. which base, hex or octal, will require fewer digits to represent a binary number? And b. given that a byte is comprised of 8 bits, which base, hex or octal, can be more compactly used to represent an 8-bit (1-byte) binary number? Assume a byte value of 11111111 and convert to octal and hex. Write your answers, including explanations, in your lab journal. Table 2.1: Numbers 0 to 31 and 56 to 71 in decimal (base 10), binary (base 2), octal (base 8), and hexadecimal (base 16). Decimal Binary Octal Hex Decimal Binary Octal Hex 00 0000 00 00 56 11 1000 70 38 01 0001 01 01 57 11 1001 71 39 02 0010 02 02 58 11 1010 72 ЗА 03 0011 03 03 59 11 1011 73 3B 04 0100 04 04 60 11 1100 74 3C 05 0101 05 05 61 11 1101 75 3D 06 0110 06 06 62 11 1110 76 ЗЕ 07 0111 07 07 63 11 1111 77 3F 08 1000 10 08 64 100 0000 100 40 09 1001 11 09 65 100 0001 101 41 10 1010 12 OA 66 100 0010 102 42 11 1011 13 OB 67 100 0011 103 43 12 1100 14 OC 68 100 0100 104 44 13 1101 15 OD 69 100 0101 105 45 14 1110 16 OE 70 100 0110 106 46 15 1111 17 OF 71 100 0111 107 47
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