Number Representation
 

1. Which of the following could represent the number eight?

A.    8
B.    //// ////
C.    iix
D.    They all could represent the number.

2. The number thirteen is a prime number, a number that has no divisors other than itself and one. Which of the following represent a prime number?

A.    13
B.    XIII
C.    11012
D.    All of them. The properties of a number do not depend on how it is represented.

3. What are some of the advantages of positional notation?

A.    Compact, easy to compute with.
B.    Uses familiar characters, always uses base ten.
C.    Does not need a symbol for zero, easy to learn.
D.    Numbers of any size can be represented, more accurate than other methods.

4. What is the value of B0, where B is an integer?

A.    0
B.    1
C.    2
D.    B

5. What are the "digits" ordinarily used for base five?

A.    0 1 2 3 4
B.    1 2 3 4 5
C.    0 1 2 3 4 5
D.    a b c d e

6. Here is a number represented in base three. The expression on the right of = is in base ten. What should fill the blanks? 

2013 = 2 × 3--- +  0 × 3--- + 1 × 3---

A.    2 1 0
B.    3 2 1
C.    1 2 3
D.    0 1 2

7. Convert the following to base ten: 2013

A.    5
B.    8
C.    19
D.    98
E.    105

8. Change the representation of 2034 from base four to base ten.

A.    510
B.    1110
C.    1910
D.    3510
E.    6710

9. What are the "digits" of base two number representations usually called?

A.    bits
B.    bytes
C.    quarks
D.    dots

10. Change the representation of 102 from base two to base ten.

A.    0
B.    1
C.    2
D.    3
E.    4
F.    5

11. Change the representation of 1012 from base two to base ten.

A.    0
B.    1
C.    2
D.    3
E.    4
F.    5

12. Change the representation of 10112 from base two to base ten.

A.    310
B.    810
C.    1110
D.    1410
E.    1910
F.    3210

13. Change the representation of 248 from base eight to base ten.

A.    710
B.    1210
C.    1710
D.    2010
E.    2710
F.    3210

14. Change the representation of 0101002 from base two to base ten.

A.    1710
B.    2010
C.    2110
D.    2610
E.    2810
F.    3210

15. Change the representation of 248 from base eight to base two (hint: look at the previous two questions.)

A.    0001102
B.    0101102
C.    0101002
D.    0100102
E.    0101112
F.    1101102

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