CHAPTER 3: Number Systems Flashcards

1
Q

How many binary digits does it take to represent the decimal number 2013?

a) 16
b) 8
c) 11
d) 2013

A

c) 11

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2
Q

How many bytes does it take to store the binary equivalent of the decimal number 1945?

a) 1
b) 2
c) 4
d) 10

A

b) 2

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3
Q

The largest number that can be represented 8 bits without considering a sign is

a) 15
b) 255
c) 65,535
d) 10,000,000

A

b) 255

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4
Q

The largest single digit in octal is

a) 1
b) 7
c) 8
d) 10

A

b) 7

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5
Q

The largest single digit in hexadecimal is

a) 1
b) 8
c) F
d) 9

A

c) F

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6
Q

The binary number 10110011β‚‚ is equivalent to the decimal number

a) 113
b) 179
c) 133
d) 10,110,011

A

b) 179

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7
Q

Eight raised to the power zero is

a) 0
b) 1
c) 8
d) -8

A

b) 1

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8
Q

Eight raised to the power one is

a) 0
b) 1
c) 8
d) -8

A

c) 8

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9
Q

The number of different items that can be represented by a given number of digits, n, in a particular base, b, is given
by the formula: 𝑏ⁿ equals _____________.

a) field
b) radix
c) range
d) parameter

A

c) range

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10
Q

The digit with the greatest weight (value) in a number is called the

a) radix
b) heaviest bit
c) least significant digit
d) most significant digit

A

d) most significant digit

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11
Q

The octal number 12β‚ˆ is equivalent to the decimal number

a) 9
b) 10
c) 24
d) 12

A

b) 10

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12
Q

The hexadecimal number 1A₁₆ is equivalent to the decimal number

a) 9
b) 17
c) 26
d) 110

A

c) 26

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13
Q

How many bits are there in one byte?

a) 1
b) 4
c) 8
d) 10

A

c) 8

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14
Q

A single digit that can have only one of two values, 0 or 1, is a

a) bit
b) blip
c) signal
d) character

A

a) bit

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15
Q

In order to divide a number by its base we can perform

a) a bit op
b) a left shift
c) a right shift
d) a complex equation

A

c) a right shift

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16
Q

In order to multiply a number by its base we can perform

a) a bit op
b) a left shift
c) a right shift
d) a complex equation

A

b) a left shift

17
Q

The base 8 number system is called

a) octal
b) fractal
c) ochodecimal
d) hexadecimal

18
Q

The base 2 number system is called

a) binary
b) fractal
c) bitly
d) radix

19
Q

Which of the following is true?

a) 1β‚‚ < 1β‚ˆ
b) 10β‚‚ < 1β‚ˆ
c) 101β‚‚ < 10β‚ˆ
d)101β‚‚ < 5β‚ˆ

A

c) 101β‚‚ < 10β‚ˆ

20
Q

Which of the following is true?

a) 0.1β‚‚ > 0.1β‚ˆ
b) 0.1β‚‚ = 0.1β‚ˆ
c) 0.1β‚‚ < 0.1β‚ˆ
d) None of these

A

a) 0.1β‚‚ > 0.1β‚ˆ

21
Q

Which of the following is true?

a) 101β‚ˆ <10₁₆
b) 10β‚ˆ < 1₁₆
c) 11β‚ˆ < 10₁₆
d)12β‚ˆ <A₁₆

A

c) 11β‚ˆ < 10₁₆

22
Q

The β€œExclusive OR” function (used for the result bit when adding single digits in binary) will equal 1 if the input bits are

a) 0+0
b) 0+1
c) 1+1
d) None of these

23
Q

The β€œAND” function (used for the carry bit when adding single digits in binary) will equal 1 if the input bits are

a) 0+0
b) 0+1
c) 1+1
d) None of these

24
Q

The decimal number 9 is equivalent to the hexadecimal

a) A
b) 9
c) 10
d) 1001

25
The base 16 number system is called a) octal b) fractal c) sixtadecimal d) hexadecimal
d) hexadecimal
26
To convert from binary to octal by grouping, one octal digit corresponds to how many binary digits? a) one b) two c) three d) eight
c) three
27
To convert from binary to hexadecimal by grouping, one hexadecimal digit corresponds to how many binary digits? a) two b) four c) eight d) sixteen
b) four
28
Ten raised to the power negative one (10⁻¹) is a) 1/10 b) -10 c) -1/10 d) None of these
a) 1/10
29
The binary number 10.01β‚‚ is equivalent in decimal to a) 2.01 b) 2.25 c) 4.25 d) 10.01
b) 2.25
30
The octal number 1.2β‚ˆ is equivalent in decimal to a) 1.25 b) 8.16 c) 8.25 d) 12
a) 1.25
31
The hexadecimal number B.4₁₆ is equivalent in decimal to a) 10.25 b) 10.5 c) 11.25 d) None of these
c) 11.25
32
The decimal fraction 1⁄4 (0.25) is equivalent to a) 0.1β‚‚ b) 0.1β‚ˆ c) 0.1₁₆ d) None of these
d) None of these
33
The digit furthest to the right is usually the a) radix b) lightest bit c) least significant digit d) most significant digit
c) least significant digit
34
The number of different digits, including zero, that exist in the number system is the a) range b) field c) base d) parameter
c) base
35
The number point (normally known by the name of the baseβ€”for example "decimal point" in base 10)β€”which divides whole numbers from fractional numbers is called a) bit point b) radix point c) fractal point d) division point
b) radix point