CHAPTER 3: Number Systems Flashcards
How many binary digits does it take to represent the decimal number 2013?
a) 16
b) 8
c) 11
d) 2013
c) 11
How many bytes does it take to store the binary equivalent of the decimal number 1945?
a) 1
b) 2
c) 4
d) 10
b) 2
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
b) 255
The largest single digit in octal is
a) 1
b) 7
c) 8
d) 10
b) 7
The largest single digit in hexadecimal is
a) 1
b) 8
c) F
d) 9
c) F
The binary number 10110011β is equivalent to the decimal number
a) 113
b) 179
c) 133
d) 10,110,011
b) 179
Eight raised to the power zero is
a) 0
b) 1
c) 8
d) -8
b) 1
Eight raised to the power one is
a) 0
b) 1
c) 8
d) -8
c) 8
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: πβΏ equals _____________.
a) field
b) radix
c) range
d) parameter
c) range
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
d) most significant digit
The octal number 12β is equivalent to the decimal number
a) 9
b) 10
c) 24
d) 12
b) 10
The hexadecimal number 1Aββ is equivalent to the decimal number
a) 9
b) 17
c) 26
d) 110
c) 26
How many bits are there in one byte?
a) 1
b) 4
c) 8
d) 10
c) 8
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) bit
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
c) a right shift
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
b) a left shift
The base 8 number system is called
a) octal
b) fractal
c) ochodecimal
d) hexadecimal
a) octal
The base 2 number system is called
a) binary
b) fractal
c) bitly
d) radix
a) binary
Which of the following is true?
a) 1β < 1β
b) 10β < 1β
c) 101β < 10β
d)101β < 5β
c) 101β < 10β
Which of the following is true?
a) 0.1β > 0.1β
b) 0.1β = 0.1β
c) 0.1β < 0.1β
d) None of these
a) 0.1β > 0.1β
Which of the following is true?
a) 101β <10ββ
b) 10β < 1ββ
c) 11β < 10ββ
d)12β <Aββ
c) 11β < 10ββ
The βExclusive ORβ 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
b) 0+1
The βANDβ 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
c) 1+1
The decimal number 9 is equivalent to the hexadecimal
a) A
b) 9
c) 10
d) 1001
b) 9
The base 16 number system is called
a) octal
b) fractal
c) sixtadecimal
d) hexadecimal
d) hexadecimal
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
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
Ten raised to the power negative one (10β»ΒΉ) is
a) 1/10
b) -10
c) -1/10
d) None of these
a) 1/10
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
The octal number 1.2β is equivalent in decimal to
a) 1.25
b) 8.16
c) 8.25
d) 12
a) 1.25
The hexadecimal number B.4ββ is equivalent in decimal to
a) 10.25
b) 10.5
c) 11.25
d) None of these
c) 11.25
The decimal fraction 1β4 (0.25) is equivalent to
a) 0.1β
b) 0.1β
c) 0.1ββ
d) None of these
d) None of these
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
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
The number point (normally known by the name of the baseβfor example βdecimal pointβ in base 10)βwhich divides whole numbers from fractional numbers is called
a) bit point
b) radix point
c) fractal point d) division point
b) radix point
