csp mid term
A _______________ is a unit of an abstract mathematical system subject to the laws of arithmetic.
number
True or False? A natural number is the number 0 or any number obtained by adding 1 to a natural number.
t
True or False? The category of numbers called integers include negative numbers
t
The base value of the binary number system is _______________.
2
The highest digit in base 8 is _______________.
7
Which of the following describes the number 0 and any number that can be obtained by repeatedly adding one to it? A. number B. natural number C. integer D. negative number E. rational number
b
10. True or False? The value of each position in a number system is determined by subtracting the base from the position number.
f
What is a group of eight binary digits called? A. byte B. nibble C. bit D. word E. block
a
What is the lowest base in which the number 10 could be a valid number? A. binary B. base 3 C. octal D. decimal E. hexadecimal
a
How many digits are there in the binary number system? A. 1 B. 2 C. 7 D. 8 E. 9
b
19. True or False? A byte is made up of eight binary digits.
t
18. True or False? Binary numbers are important in computing because numbers in every base can be converted into them.
f
Which number represents a value in every number system? A. 0 B. 1000 C. 10 D. 11 E. 100
a
Which of the following is a unit in abstract mathematical system subject to the laws of arithmetic? A. number B. natural number C. integer D. negative number E. rational number
a
The _______________ is an ancient device that uses beads in columns to represent a number using positional notation.
abacus
What is the largest digit in the decimal number system? A. 0 B. 9 C. 10 D. 15 E. 16
b
The _______________ of a number system determines how many digits are used in the system and the value of digit positions.
base
_______________ is the lowest number system in which 372 could be a valid number.
base 8
A single binary digit is called a _______________.
bit
A group of eight bits is called a _______________.
byte
What is the largest digit in the octal number system? A. 1 B. 2 C. 7 D. 8 E. 9
c
Which number represents the value of the base in every number system? A. 0 B. 1 C. 10 D. 11 E. 100
c
Which of the following describes a natural number, the negative of a natural number, or zero? A. number B. imaginary number C. integer D. negative number E. rational number
c
How many digits are there in the octal number system? A. 1 B. 2 C. 7 D. 8 E. 9
d
In base 16, the digit E corresponds to what decimal value? A. 1 B. 10 C. 12 D. 14 E. 15
d
What is the decimal value of the largest digit in the hexadecimal number system? A. 0 B. 9 C. 10 D. 15 E. 16
d
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
d
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
d
_______________ is the lowest number system in which 901 could be a valid number.
decimal
Which of the following is an integer or the quotient of two integers (excluding division by zero)? A. number B. natural number C. integer D. negative number E. rational number
e
13. True or False? The letter C is used to represent the number 11 in hexadecimal.
f
16. True or False? Binary numbers can be converted to octal, but not to hexadecimal.
f
21. True or False? Three octal digits can be stored in one byte.
f
22. True or False? The number of bits in a word is the same on all machines.
f
23. True or False? Grace Murray Hopper is credited with being the first programmer.
f
6. 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.
f
7. True or False? The digits used in base 8 are 1 through 8.
f
9. True or False? The base of the hexadecimal number system is 15.
f
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.
f
The rightmost digit of a number is the _______________ position in any base
ones
11. True or False? A value of a number in any base can be expressed as a polynomial expression.
t
12. True or False? An abacus uses positional notation to represent values.
t
14. True or False? The number 10 represents the base value in every number system.
t
15. True or False? Representing a number in base 5 sometimes requires more digits than representing that same number in base 10.
t
17. True or False? Starting from the right, every group of four binary digits can be read as one hexadecimal digit.
t
20. True or False? Two hexadecimal digits can be stored in one byte.
t
24. True or False? Grace Murray Hopper participated in the design of the COBOL programming language.
t
4. True or False? There is one set of underlying principles governing all positional number systems.
t
5. True or False? The base of a number system determines the number of digits used in the system.
t
8. True or False? The base of the binary number system is 2.
t
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
In base 16, the digit D is used to represent the decimal value _______________.
13
In base 16, the digit F is used to represent the decimal value _______________.
15
The base value of the octal number system is _______________.
8
