Deck 3: Number Systems and Codes
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Deck 3: Number Systems and Codes
1
All digital computing devices perform operations in binary.
True
2
The decimal number 15 would be written in binary as:
A)1111.
B)1000.
C)4C.
D)00011001.
A)1111.
B)1000.
C)4C.
D)00011001.
A
3
To express a number in binary requires fewer digits than in the decimal system.
False
4
The number 127 could not be:
A)decimal.
B)hexadecimal.
C)octal.
D)binary.
A)decimal.
B)hexadecimal.
C)octal.
D)binary.
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5
In any number system,the position of a digit that represents part of the number has a weighted value associated with it.
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6
The number 12 is:
A)12 in any number system.
B)12 in decimal.
C)12 in binary.
D)all of the above.
A)12 in any number system.
B)12 in decimal.
C)12 in binary.
D)all of the above.
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7
The decimal system has as its base:
A)2.
B)5.
C)8.
D)10.
A)2.
B)5.
C)8.
D)10.
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8
The hexadecimal number system consists of 16 digits including the numbers 0 through 9 and letters A through
F.
F.
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9
The binary number 101 has the decimal equivalent of:
A)3.
B)101.
C)41.
D)5.
A)3.
B)101.
C)41.
D)5.
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10
The radix of a number system is the same as the base.
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11
In the Gray code there is a maximum of one bit change between two consecutive numbers.
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12
The octal number 153 would be written in binary as:
A)011 101 001.
B)001 101 011.
C)011 111 101.
D)010 100 011.
A)011 101 001.
B)001 101 011.
C)011 111 101.
D)010 100 011.
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13
Which of the following number systems has a base of 16?
A)Hexadecimal
B)Octal
C)Binary-coded decimal
D)Gray code
A)Hexadecimal
B)Octal
C)Binary-coded decimal
D)Gray code
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14
The decimal system uses the number 9 as its base.
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15
Binary number systems use positive and negative symbols to represent the polarity of a number.
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16
In any number system,the position of a digit that represents part of the number has a "weight" associated with its value.The place weights for binary:
A)start with 1 and are successive powers of 2.
B)increase by adding 2 for each place,starting with 0.
C)increase by adding 2 for each place,starting with 2.
D)start with 2 and double for each successive place.
A)start with 1 and are successive powers of 2.
B)increase by adding 2 for each place,starting with 0.
C)increase by adding 2 for each place,starting with 2.
D)start with 2 and double for each successive place.
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17
The octal number system consists of digits 0,1,2,3,4,5,6,and 7.There are no 8's or 9's.
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18
The binary number 101101 would be written in decimal as:
A)21.
B)36.
C)45.
D)62.
A)21.
B)36.
C)45.
D)62.
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19
The base of a number system determines the total number of unique symbols used by that system.
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20
Usually a group of 8 bits is a byte,and a group of one or more bytes is a word.
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21
One byte of the data shown is represented by: 
A)No.1
B)No.2
C)No.3
D)No.4

A)No.1
B)No.2
C)No.3
D)No.4
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22
The MSB of the data shown in Figure 3-1 is represented by: 
A)No.1
B)No.2
C)No.3
D)No.4

A)No.1
B)No.2
C)No.3
D)No.4
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23
All digital computing devices operate using the binary number system because:
A)most people are familiar with it.
B)large decimal numbers can be represented in a shorter form.
C)digital circuits can be easily distinguished between two voltage levels.
D)all of the above.
A)most people are familiar with it.
B)large decimal numbers can be represented in a shorter form.
C)digital circuits can be easily distinguished between two voltage levels.
D)all of the above.
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24
The decimal number 28 would be written in binary as:
A)11100.
B)00111.
C)10110.
D)01011.
A)11100.
B)00111.
C)10110.
D)01011.
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25
If a given memory unit consists of 1250 16-bit words,the memory capacity would be rated:
A)1250 bits.
B)20,000 bits.
C)3260 bits.
D)156 bits.
A)1250 bits.
B)20,000 bits.
C)3260 bits.
D)156 bits.
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26
The decimal number 213 would be written in BCD as:
A)0010 0001 0011.
B)1101 1000 1100.
C)0111 1001 0011.
D)1011 1101 0101.
A)0010 0001 0011.
B)1101 1000 1100.
C)0111 1001 0011.
D)1011 1101 0101.
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27
The 2's complement form of a binary number is the binary number that results when:
A)all the l's are changed to 0's.
B)all the 0's are changed to 1's.
C)1 is added to the 1's complement.
D)both a and b
A)all the l's are changed to 0's.
B)all the 0's are changed to 1's.
C)1 is added to the 1's complement.
D)both a and b
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28
The acronym BCD stands for:
A)binary-coded decimal.
B)binary code decoder.
C)base code decoder.
D)base-coded decimal.
A)binary-coded decimal.
B)binary code decoder.
C)base code decoder.
D)base-coded decimal.
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29
The main advantage of using the Gray code is:
A)only one digit changes as the number increases.
B)it can be easily converted to decimal numbers.
C)large decimal numbers can be written using fewer digits.
D)it uses the number 2 as its base.
A)only one digit changes as the number increases.
B)it can be easily converted to decimal numbers.
C)large decimal numbers can be written using fewer digits.
D)it uses the number 2 as its base.
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30
The hexadecimal number C4 would be written in decimal as:
A)21
B)48
C)182
D)196
A)21
B)48
C)182
D)196
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31
The ASCII code:
A)is used with absolute encoders.
B)is considered to be an error-minimizing code.
C)includes letters as well as numbers.
D)all of these.
A)is used with absolute encoders.
B)is considered to be an error-minimizing code.
C)includes letters as well as numbers.
D)all of these.
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32
A(n)___________ bit is used to detect errors that may occur while a word is moved.
A)parity
B)negative
C)positive
D)overflow
A)parity
B)negative
C)positive
D)overflow
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33
The hexadecimal number 2D9 would be written in binary as:
A)0010 1101 1001.
B)1001 1011 0010.
C)1100 1111 0010.
D)0010 1011 1001.
A)0010 1101 1001.
B)1001 1011 0010.
C)1100 1111 0010.
D)0010 1011 1001.
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34
The memory size represented is: 
A)1023 K
B)1000 K
C)500 K
D)1 K

A)1023 K
B)1000 K
C)500 K
D)1 K
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35
The octal number 62 would be written in decimal as:
A)A12.
B)F35.
C)50.
D)98.
A)A12.
B)F35.
C)50.
D)98.
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36
For a base 8 number system,the weight value associated with the third digit would be:
A)16.
B)32.
C)64.
D)512.
A)16.
B)32.
C)64.
D)512.
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37
In the sign bit position,a 1 indicates a(n):
A)negative number.
B)positive number.
C)octal code.
D)hexadecimal code.
A)negative number.
B)positive number.
C)octal code.
D)hexadecimal code.
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