Deck 9: Number Systems

Question 1

A sequence of hexadecimal digits can be thought of as representing an integer in base 10.

Answer 1

False

Question 2

It is extremely easy to convert between binary and hexadecimal notation.

Answer 2

True

Question 3

There are 50 tens in the number 509.

Answer 3

True

Question 4

Hexadecimal notation is more compact than binary notation.

Question 5

Which digit represents "hundreds" in the number 8732?

A)8
B)7
C)3
D)2

Question 6

A number cannot be converted from binary notation to decimal notation.

Question 7

The decimal system is a special case of a positional number system with radix 10 and with digits in the range 0 through 9.

Question 8

In the number 3109,the 9 is referred to as the _________.

A)most significant digit
B)least significant digit
C)radix
D)base

Question 9

Although convenient for computers,the binary system is exceedingly cumbersome for human beings.

Question 10

Negative powers of 10 are used to represent the positions of the numbers for decimal fractions.

Question 11

A nibble is a grouping of four decimal digits.

Question 12

In the number 3109,the 3 is referred to as the _________.

A)most significant digit
B)least significant digit
C)radix
D)base

Question 13

In any number,the rightmost digit is referred to as the most significant digit.

Question 14

The decimal system has a base of _________.

A)0
B)10
C)100
D)1000

Question 15

Because of the inherent binary nature of digital computer components,all forms of data within computers are represented by various binary codes.

Question 16

Which of the following is correct?

A)25 = (2 x 10²)+ (5 x 10¹)
B)289 = (2 x 10³)+ (8 x 10¹)+ (9 x 10⁰)
C)7523 = (7 x 10³)+ (5 x 10²)+ (2 x 10¹)+ (3 x 10⁰)
D)0.628 = (6 x 10^-3)+ (2 x 10^-2)+ (8 x 10^-1)

Question 17

The decimal system has a radix of 100.

Question 18

A number with both an integer and fractional part has digits raised to both positive and negative powers of 10.

Question 19

Hexadecimal notation is only used for representing integers.

Question 20

Our primary counting system is based on binary digits to represent numbers.

Question 21

Decimal "10" is __________ in binary.

A)1000
B)0010
C)1010
D)0001

Question 22

The _________ system uses only the numbers 0 and 1.

A)positional
B)binary
C)hexadecimal
D)decimal

Question 23

The binary string 110111100001 is equivalent to __________.

A)DE1_{16< / sub> < / sub> < / sub>B.C7816< / sub>
C)FF6416< / sub>
D)B8F16< / sub>}

Question 24

The _________ system has only two digits,0 and 1.

Question 25

The decimal system has a radix of _________.

Question 26

In a __________ number system,each number is represented by a string of digits in which each digit position i has an associated weight ri,where r is the radix of the number system.

Question 27

Binary 0101 is hexadecimal _________.

A)0
B)5
C)A
D)10

Question 28

Decimal "10" is _________ in hexadecimal.

A)1
B)A
C)0
D)FF

Question 29

Four bits is called a _________.

A)radix point
B)byte
C)nibble
D)binary digit

Question 30

In the number 472.156 the 2 is the _________.

A)most significant digit
B)radix point
C)least significant digit
D)none of the above

Question 31

Another term for "base" is __________.

A)radix
B)integer
C)position
D)digit

Question 32

Hexadecimal has a base of _________.

A)2
B)8
C)10
D)16

Question 33

In everyday life we use a system based on decimal digits to represent numbers,and refer to the system as the __________.

Question 34

To convert a number from binary notation to decimal notation all that is required is to multiply each binary digit by the appropriate power of ________ and add the results.

Question 35

In any number,the leftmost digit is referred to as the __________ digit because it carries the highest value.

Question 36

In the decimal system,_________ is the maximum value that a position can hold before it flips over into the next higher position.

Question 37

The rightmost digit is called the _________ digit.

Question 38

Numbers in the binary system are represented to the _________.

A)base 0
B)base 1
C)base 2
D)base 10

Question 39

In the _________ system,10 different digits are used to represent numbers with a base of 10.

Question 40

Binary digits grouped into sets of four bits are called a _________.

Question 41

Binary 0001 0000 0000 represents ________ in hexadecimal.

Question 42

In the decimal system,________ different digits are used to represent numbers with a base of 10.

Question 43

(2 x 10-1)+ (5 x 10-2)+ (6 x 10-3)represents the number _________.

Question 44

Because 16 symbols are used,the notation is called hexadecimal and the 16 symbols are the __________.

Question 45

Given ( ...a3a2a1a0.a-1a-2a-3 ...)r,the dot between a0 and a-1 is called the ________.