Deck 2: Binary Values and Number Systems

Question 1

How many digits are there in the binary number system?

A) 1
B) 2
C) 7
D) 8
E) 9

Answer 1

B

Question 2

How many digits are there in the hexadecimal number system?

A) 0
B) 9
C) 10
D) 15
E) 16

Answer 2

E

Question 3

What is the decimal value of the largest digit in the hexadecimal number system?

A) 0
B) 9
C) 10
D) 15
E) 16

Answer 3

D

Question 4

There is one set of underlying principles governing all numbers systems.

Question 5

The base of a number system determines the number of digit positions that can be used for any number in the system.

Question 6

The base of the hexadecimal number system is 15.

Question 7

A value of a number in any base can be expressed as a polynomial expression.

Question 8

Grace Murray Hopper is credited with being the first programmer.

Question 9

Three octal digits can be stored in one byte.

Question 10

A(n) _______________ is a unit of an abstract mathematical system subject to the laws of arithmetic.

Question 11

The value of a number in any base can be expressed as a(n) _______________ in which each term is made up of a digit multiplied by the base raised to a power.

Question 12

The highest digit in base 16 is _______________.

Question 13

In base 16, the digit D is used to represent the decimal value _______________.

Question 14

What is a rational number?

Question 15

What is a natural number?

Question 16

What is a number?

Question 17

What is the base of a number system?

Question 18

What is the value of the largest digit in the base X number system (for any positive integer X)?

Question 19

What is the fundamental concept at the intersection of all branches of modern mathematics?

Question 20

Which of the following is a unit in an abstract mathematical system subject to the laws of arithmetic?

A) Number
B) Natural number
C) Integer
D) Negative number
E) Rational number

Question 21

Which of the following is the number 0 or any number obtained by repeatedly adding 1 to it?

A) Number
B) Integer
C) Natural number
D) Rational number
E) Negative number

Question 22

What is the largest digit in the decimal number system?

A) 0
B) 9
C) 10
D) 15
E) 16

Question 23

Which number represents the value of the base in every number system?

A) 0
B) 1
C) 10
D) 11
E) 100

Question 24

In base 16, the digit E corresponds to what decimal value?

A) 1
B) 10
C) 12
D) 14
E) 15

Question 25

The category of numbers called integers includes negative numbers.

Question 26

A rational number is any number that can be expressed without a fractional part.

Question 27

The base of a number system determines the number of digits used in the system.

Question 28

Positional notation is possible due to the concept of zero.

Question 29

The digits used in base 8 are 0 through 7.

Question 30

The base of the binary number system is 2.

Question 31

The value of each position in a number system is determined by subtracting the base from the position number.

Question 32

The number of bits in a word is the same on all machines.

Question 33

Grace Murray Hopper participated in the design of the COBOL programming language.

Question 34

Converting from base 10 to other bases involves dividing by the base into which you are converting until the quotient is 1.

Question 35

Which of the following is a value less than zero with a sign opposite to its positive counterpart?

A) Number
B) Natural number
C) Integer
D) Negative number
E) Rational number

Question 36

How many digits are there in the octal number system?

A) 1
B) 2
C) 7
D) 8
E) 9

Question 37

The rules for converting base-10 numbers to other bases involve which of the following?

A) Dividing by the base from which you are converting the number
B) Multiplying by the base from which you are converting the number
C) Dividing by the base into which you are converting the number
D) Multiplying by the base into which you are converting the number

Question 38

Which unit of binary storage has a size that is processor-dependent?

A) Byte
B) Nibble
C) Bit
D) Word
E) Block

Question 39

What is the lowest base in which the number 987 could be a valid number?

A) Binary
B) Base 3
C) Octal
D) Decimal
E) Hexadecimal

Question 40

Two-thirds is a rational number.

Question 41

The digits used in base 8 are 1 through 8.

Question 42

Binary numbers are important in computing because numbers in every base can be converted into them.

Question 43

Starting from the right, every group of four binary digits can be read as one hexadecimal digit.

Question 44

Representing a number in base 5 sometimes requires more digits than representing that same number in base 10.

Question 45

A(n) _______________ is any number that can be expressed as a fraction.

Question 46

The rightmost digit of a number is the _______________ position in any base.

Question 47

One way to scramble numbers (e.g., for hashing) is to interpret them in a different _______________.

Question 48

The base value of the hexadecimal number system is _______________.

Question 49

A single binary digit is called a(n) _______________.