# 08 - Final Test

1. If you add together 1011 and 101 you get 1110111

TRUE

FALSE

2. The binary system uses powers of ........for positional values.

2

4

1

3

3. The binary addition 1 + 1 + 1 gives

11

111

111

110

4. Binary is a _________ language that uses just two digits: 1 and 0

base 1

base 10

base 2

base 1 and 0

5. The following shows the Binary number 10 (1010). If we wanted a larger number, what would go to the left of the 8?
```      8   4   2  1
==============
1   0   1  0 ```

12

16

24

10

6. 1 + 1 in Binary = 10

True, because 10 is '2' in Binary

False, because 1 + 1 cannot be computed at all by a computer

False, because the answer should be 2

True, because 10 is '4' which is how many bits there are x 2

7. So, what really is a number? Think about the number 675 in decimal- what does it mean? The number 675 has 675 lots of one hundred

The number 675, has six 'one hundreds', seven 'tens', and five, ones.

The number 675 in decimal has six lots of '6', seven lots of '7' and five lots of '5'.

None of the above

8. The following diagram shows the place values for the number 675 in decimal (base 10). How do we get the place value 1000? None of the above

10 to the power of 3 would give us 1000

10 to the power of 10 would give us 1000

10 to the power of 1000 would give us 1000

9. Convert the following Binary number into Decimal.
```Binary Number: 0 0 0 0 1 0 0 1

128    64    32   16   8   4   2   1
0      0    0    0    1   0   0   1

=     ?```

6

3

5

9

10. Convert the given Binary number into Decimal.
```Binary Number: 0 0 0 0 0 0 0 1

128    64    32   16   8   4   2   1
0      0    0    0    0   0   0   1

=     ?```

2

101

100000

1

11. Convert the given Binary number into Decimal.
```Binary Number: 0 0 0 0 0 0 0 1

128    64    32   16   8   4   2   1
0      0    0    0    1   1   1   1

=     ?```

15

2

100

12

12. Convert the following Binary number into Decimal.
```Binary Number: 1 2 0 0 0 0 0 0

128    64    32   16   8   4   2   1
1      2    0    0    0   0   0   0

=     ?```

6

100001

168

This is not a binary number so it cannot be done.

13. 1000000000 is a Binary number. Can you use your knowledge of conversion of Binary to Decimal to suggest the answer - what is it in Decimal?

888

256

This is not a binary number as they only go up to 8 bits

512

14. Look at the following example showing the conversion from Binary to Decimal. Is it True(Correct) or False(Incorrect)? FALSE

TRUE

15. What is the largest number that can be represented (in Decimal) using just 8 binary bits. For example: 11111111

255, because 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

8 bits can represent 8 x 2 which is 16

8 bits can only represent 8

There is no limit - a million or billion can be represented using 8 bits

16. Convert the following Binary number into Decimal (note that Decimal is sometimes referred to as Denary)
```Binary Number: 1 0 0 0 0 0 0 0

128    64    32   16   8   4   2   1
1      0    0    0    0   0   0   0

=     ?```

0

2

16

128

17. In the following table the binary answers are given in _______ bits. 3

5

2

4

18. Represent the number 6 in Binary (in four bits)

19. Represent the number 0 (in Decimal) in Binary (in four bits)

This cannot be done

20. Represent the number 129 in Binary

21. Represent the number 33 in Binary using eight bits

11000000

00100001

11001100

10101010

22. How would you represent the number 2 billion in binary using eight bits?

It cannot be done in just eight bits

02billion

23. Convert 133 (Decimal) into a Binary number.

11111001

10001110

10000101

11121221

24. How would you represent 1 (Decimal) in Binary in just 1 bit?

1 in Binary using just 1 bit would be A

1 in Binary using just 1 bit would just be 1

1 in Binary using just 1 bit would be 0

This cannot be done

25. In the ordinary decimal mathematics that you do in Math every day, 1 +0 = ?

1

0

10

2

26. In Decimal 0 + 0 = 0 and in Binary 0 + 0 is equal to .....

27. In Decimal 1 + 1 = 2. But in Binary 1 + 1 = 10. This is also written as:

1 Carry 1

1 Carry 0

0 Carry 1

10 Carry 10

28. In Binary addition 1 + 1 + 1 would equal 1 carry 1. (and that is written in Binary as 11) True or False?

True - because 1 + 1 + 1 cannot be achieved in Binary so is shortened to just 11

False - this is wholly incorrect

False. Just False.

True, because 11 is 3 in binary

29. The colour depth of an image is measured in bits. The number of bits indicates how many colours are available for each pixel. In the black and white image, only ___ colours are needed. This means it has a colour depth of 1 bit. (1 bit can be either 0 or 1

four

five

three

two

30. True or False? The more pixels on the screen, the higher the resolution and the better the quality of the picture will be.

FALSE

TRUE

31. Image files can be either bitmaps or vectors. Which of the following statements are true of bitmap images?

Statement #2 is true

Neither statement is true

Both statements are true

Statement #1 is true

32. For a simple black and white bitmap image, you only need 1 bit. A 0 could represent a white pixel and a 1 could represent a black pixel. Remember that 1 bit can be either "on" (0) or "off" (1).

TRUE

FALSE

33. __________ is a measure of pixel density, usually measured in dots per inch (dpi). Images on websites usually have a ____________ of 72 dpi.

Revolution

Responsification

Pixelation

Resolution

34. High quality printed images in books and magazines have a ________ resolution than computer screens. Magazines often use either 300 dpi or even 600 dpi.

lower

higher

darker

lighter