CHAPTER 3: Number Systems

Question 1

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

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

Answer 1

c) 11

Question 2

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

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

Answer 2

b) 2

Question 3

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

Answer 3

b) 255

Question 4

The largest single digit in octal is

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

Answer 4

b) 7

Question 5

The largest single digit in hexadecimal is

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

Answer 5

c) F

Question 6

The binary number 10110011₂ is equivalent to the decimal number

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

Answer 6

b) 179

Question 7

Eight raised to the power zero is

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

Answer 7

b) 1

Question 8

Eight raised to the power one is

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

Answer 8

c) 8

Question 9

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

Answer 9

c) range

Question 10

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

Answer 10

d) most significant digit

Question 11

The octal number 12₈ is equivalent to the decimal number

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

Answer 11

b) 10

Question 12

The hexadecimal number 1A₁₆ is equivalent to the decimal number

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

Answer 12

c) 26

Question 13

How many bits are there in one byte?

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

Answer 13

c) 8

Question 14

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

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

Answer 14

a) bit

Question 15

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

Answer 15

c) a right shift

Question 16

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

Answer 16

b) a left shift

Question 17

The base 8 number system is called

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

Answer 17

a) octal

Question 18

The base 2 number system is called

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

Answer 18

a) binary

Question 19

Which of the following is true?

a) 1₂ < 1₈
b) 10₂ < 1₈
c) 101₂ < 10₈
d)101₂ < 5₈

Answer 19

c) 101₂ < 10₈

Question 20

Which of the following is true?

a) 0.1₂ > 0.1₈
b) 0.1₂ = 0.1₈
c) 0.1₂ < 0.1₈
d) None of these

Answer 20

a) 0.1₂ > 0.1₈

Question 21

Which of the following is true?

a) 101₈ <10₁₆
b) 10₈ < 1₁₆
c) 11₈ < 10₁₆
d)12₈ <A₁₆

Answer 21

c) 11₈ < 10₁₆

Question 22

The “Exclusive 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

Answer 22

b) 0+1

Question 23

The “AND” 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

Answer 23

c) 1+1

Question 24

The decimal number 9 is equivalent to the hexadecimal

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

Answer 24

b) 9

Question 25

The base 16 number system is called

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

Answer 25

d) hexadecimal

Question 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

Answer 26

c) three

Question 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

Answer 27

b) four

Question 28

Ten raised to the power negative one (10⁻¹) is

a) 1/10
b) -10
c) -1/10
d) None of these

Answer 28

a) 1/10

Question 29

The binary number 10.01₂ is equivalent in decimal to

a) 2.01
b) 2.25
c) 4.25
d) 10.01

Answer 29

b) 2.25

Question 30

The octal number 1.2₈ is equivalent in decimal to

a) 1.25
b) 8.16
c) 8.25
d) 12

Answer 30

a) 1.25

Question 31

The hexadecimal number B.4₁₆ is equivalent in decimal to

a) 10.25
b) 10.5
c) 11.25
d) None of these

Answer 31

c) 11.25

Question 32

The decimal fraction 1⁄4 (0.25) is equivalent to

a) 0.1₂
b) 0.1₈
c) 0.1₁₆
d) None of these

Answer 32

d) None of these

Question 33

The digit furthest to the right is usually the

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

Answer 33

c) least significant digit

Question 34

The number of different digits, including zero, that exist in the number system is the

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

Answer 34

c) base

Question 35

The number point (normally known by the name of the base—for example “decimal point” in base 10)—which divides whole numbers from fractional numbers is called

a) bit point
b) radix point
c) fractal point d) division point

Answer 35

b) radix point