ch2
How many digits are there in the hexadecimal number system?
16
The base value of the hexadecimal number system is _______________.
16
Which number represents a value in every number system?
0
The highest digit in base 8 is _______________.
7
What is the largest digit in the octal number system?
7
What is a group of eight binary digits called?
Byte
An _______________ is a natural number, a negative of a natural number, or zero.
Integer
_______________ is the lowest number system in which 372 could be a valid number.
Octal or base-8
True or False? An abacus uses positional notation to represent values.
True
Which unit of binary storage has a size that is processor-dependent?
Word
In base 16, the digit D is used to represent the decimal value _______________.
13
How many digits are there in the binary number system?
2
How many digits are there in the octal number system?
8
The base value of the octal number system is _______________.
8
What is the largest digit in the decimal number system?
9
What is a value less than zero, with a sign opposite to its positive counterpart?
Negative Number
A _______________ is a unit of an abstract mathematical system subject to the laws of arithmetic.
Number
What is a unit in abstract mathematical system subject to the laws of arithmetic?
Number
The rightmost digit of a number is the _______________ position in any base.
Ones
The value of a number in any base can be expressed as a _______________ in which each term is made up of a digit multiplied by the base raised to a power.
Polynomial
True or False? A byte is made up of eight binary digits.
True
True or False? A natural number is the number 0 or any number obtained by adding 1 to a natural number.
True
True or False? A value of a number in any base can be expressed as a polynomial expression.
True
True or False? Representing a number in base 5 sometimes requires more digits than representing that same number in base 10.
True
True or False? Starting from the right, every group of four binary digits can be read as one hexadecimal digit.
True
True or False? The base of a number system determines the number of digits used in the system.
True
True or False? The base of the binary number system is 2.
True
True or False? The category of numbers called integers include negative numbers.
True
True or False? The number 10 represents the base value in every number system.
True
True or False? There is one set of underlying principles governing all positional number systems.
True
True or False? Two hexadecimal digits can be stored in one byte.
True
The rightmost digit represents its value multiplied by the base raised to the _______________ power.
Zero
What can be used to express the value of every number in any number system?
Polynomial
A _______________ is any number that can be expressed as a fraction.
Rational Number
What is an integer or the quotient of two integers (excluding division by zero)?
Rational Number
True or False? Grace Murray Hopper participated in the design of the COBOL programming language.
True
In base 16, the digit E corresponds to what decimal value?
14
How many digits are there in the decimal number system?
15
In base 16, the digit F is used to represent the decimal value _______________.
15
What is the decimal value of the largest digit in the hexadecimal number system?
15
The base value of the binary number system is _______________.
2
The highest digit in base 2 is _______________.
1
In bases higher than 10, the letter A is used to represent the decimal value _______________ using only one symbol.
10
The _______________ of a number system determines how many digits are used in the system and the value of digit positions.
Base
What is the lowest base in which the number 1000 could be a valid number?
Binary
What is a single binary digit called?
Bit
What is the lowest base in which the number 987 could be a valid number?
Decimal
_______________ is the lowest number system in which 901 could be a valid number.
Decimal or base-10
What number represents the value of the base in every number system?
10
What is the lowest base in which the number 10 could be a valid number?
Binary
The highest digit in base 16 is _______________.
F
True or False? A rational number is any number that can be expressed without a fractional part.
False
True or False? Binary numbers are important in computing because numbers in every base can be converted into them.
False
True or False? Binary numbers can be converted to octal, but not to hexadecimal.
False
True or False? Grace Murray Hopper is credited with being the first programmer.
False
True or False? The base of a number system determines the number of digit positions that can be used for any number in the system.
False
True or False? The base of the hexadecimal number system is 15.
False
True or False? The digits used in base 8 are 1 through 8.
False
True or False? The letter C is used to represent the number 11 in hexadecimal.
False
True or False? The number of bits in a word is the same on all machines.
False
True or False? The value of each position in a number system is determined by subtracting the base from the position number.
False
True or False? Three octal digits can be stored in one byte.
False
What is a natural number, the negative of a natural number, or zero?
Integer
A _______________ is the number 0 or any number obtained by repeatedly adding 1 to it.
Natural Number
What describes the number 0 and any number that can be obtained by repeatedly adding one to it?
Natural Number