Student Name:
Date:
Decimal t o Binary
151
128 128? YE S
23 6432?? NN OO
16 16? YE S
7 8? N O
4 4 ? YE S
3
2 2? YE S
1
1 1? YE S
0
Th is d ecim al
n u m b er...
64
32
16
8
151
128
1
2
7
=
Eq u als t h is
b in ar y n u m b er
2
4
1
0
0
1
0
1
1
6
5
4
3
2
1
2
2
2
2
2
2
1
2
0
C onvert each decimal number int o a binary number.
1.
137 =
11.
200 =
2.
128 =
12.
171=
3.
63 =
13.
150 =
4.
213 =
14.
27 =
5.
49 =
15.
19 =
6.
111=
16.
189 =
7.
24 2 =
17.
222 =
8.
192 =
18.
79 =
9.
89 =
19.
73 =
10.
2=
20.
136 =
Computer Maintenance I: Numbering Systems Decimal to Binary Worksheet
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Student Name:
Date:
Binary t o Decimal
This binary
number...
1 1 1 1 1 1 1 1
7
6
5
4
3
2
2 2
2
2
128 + 64 + 32 + 16 + 8
This binary
number...
2
+
2
4
1
+
2
2
0
+
2
1 = 255
1 0 0 1 0 1 0 1
7
6
2
2
128 + 0
5
+
2
0
4
+
3
2
2
16 + 0
2
+
2
4
1
+
2
0
E quals this
decimal number
E quals this
decimal number
0
+
2
1 = 14 9
C onvert each binary number int o a decimal number.
1.
110 0 10 0 1
=
9.
0 110 1110
=
2.
0 10 0 0 111
=
10.
0 0 0 10 111
=
3.
10 0 0 0 110
=
11.
111110 0 0
=
4.
0 0 0 10 0 0 1
=
12.
1110 0 0 10
=
5.
10 0 0 1 0 0 0
=
13.
0 0 0 1110 1
=
6.
0 0 111110
=
14.
0 110 1111
=
7.
0 10 10 10 1
=
15.
10 0 10 111
=
8.
10 10 10 10
=
16.
1110 0 10 1
=
Computer Maintenance I: Numbering Systems Binary to Decimal Worksheet
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Student Name:
Date:
HEXADECIMAL CONVERSIONS
INSTRUCTIONS:
Convert the following numbers to their appropriate base forms. Record your
answers in the spaces provided in the table.
BASE 10
BASE 2
BASE 16
243
10101100
AE
110110
131
3F
98
10010001
146
11000011
4D
11110001
172
E2
100100
195
31
1001111
7B
146
5A
11100000
223
Computer Maintenance I: Numbering Systems Hexadecimal Conversions
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Student Name:
Date:
In t rodu ct ion t o Bin ary N u m b ers
Part 1
Fill in t he rest of
t he numbers, in
order.
Decimal
0
1
Binary
Par t 2
N ow writ e t he
binary number
for each decimal
number
Par t 3
Fill in t he decimal and
binary equivalent s of
each exponent .
Decimal
Binary
0
2=
1
2=
2
2=
3
2=
4
2=
5
2=
6
2=
7
2=
32
64
128
Computer Maintenance I: Numbering Systems Introduction to Binary Systems
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Student Name:
Date:
NUMBERING SYSTEMS EXAM
DIRECTIONS:
Circle the letter that corresponds to the one (1) best answer for each of the questions below.
Question 1: All functions of a computer are based upon the use and manipulation of numbers.
Which number system is most native to a computer?
A.
B.
C.
D.
binary
decimal
hexadecimal
octal
Question 2: What is the decimal conversion of the binary number 11011001?
A.
B.
C.
D.
221
193
217
192
Question 3: What is the hexadecimal conversion of the decimal number 224?
A.
B.
C.
D.
F0
E0
92
9E
Question 4: What is the decimal conversion of the hexadecimal number 7F?
A.
B.
C.
D.
115
134
201
127
Question 5: What is the binary conversion of the hexadecimal number CB?
A.
B.
C.
D.
10111001
11100001
11000100
11001011
Question 6: Which binary number represents the decimal number 133?
A.
B.
C.
D.
10001011
11000001
10000111
10000101
Computer Maintenance I: Numbering Systems Exam
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Question 7: What is the hexadecimal equivalent of the decimal number 241?
A.
B.
C.
D.
E7
D3
F1
A9
Question 8: What is the decimal value of the binary number 11111111?
A.
B.
C.
D.
0
64
192
255
Question 9: What is the definition of a bit?
A.
B.
C.
D.
the section of a network that is bounded by bridges, routers, or switches
a binary digit used in the binary number system, either 0 or 1
the interface on an internetworking device, such as a router
the network areas within which data packets that have collided are propagated
Question 10: Which of the following phrases best describes the decimal numbering system?
A.
B.
C.
D.
It is also called the Base 100 Number System.
It is based on powers of 1.
It uses the 10 symbols 0 - 9.
It is the same as the ASCII numbering system.
Question 11: Which numbering system is based on powers of 2?
A.
B.
C.
D.
octal
hexadecimal
binary
ASCII
Question 12: What is the decimal number 151 in binary?
A.
B.
C.
D.
10010111
10010110
10101011
10010011
Question 13: What is the binary number 11011010 in decimal?
A.
B.
C.
D.
218
202
222
186
Computer Maintenance I: Numbering Systems Exam
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Question 14: Convert the decimal number 43 to Hex.
A.
B.
C.
D.
2B
1F
EF
1A
Question 15: Hexadecimal is used to represent what kind of addresses?
A.
B.
C.
D.
IP
Octal
MAC
Digital
Question 16: What is 16 raised to the first power (16 1 )?
A.
B.
C.
D.
decimal 1
decimal 16
hex FF
hex 16
Question 17: Convert the decimal number 2989 to Hex.
A.
B.
C.
D.
FDD1
BAD
ED
CAD
Question 18: What is the decimal value of the hex number ABE?
A.
B.
C.
D.
2750
5027
2570
7250
Question 19: What is the hex value of the binary number 11100010?
A.
B.
C.
D.
D2
E2
G2
H20
Question 20: Which numbering system is based on powers of 10?
A.
B.
C.
D.
octal
hexadecimal
binary
decimal
Computer Maintenance I: Numbering Systems Exam
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