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| URL | https://www.cimt.org.uk/projects/mepres/book9/bk9i1/bk9_1i3.html |
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| Meta Title | Unit 1 Section 3 : Multiplying Binary Numbers |
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| Boilerpipe Text | Long multiplication can be carried out with binary numbers and is explored in this section.
Note that multiplying by numbers like 10, 100 and 1000 is very similar to working with base 10 numbers.
Exercises
Work out the answers to the questions below and fill in the boxes. Click on the
button to find out whether you have answered correctly. If you are right then
will appear and you should move on to the next question. If
appears then your answer is wrong. Click on
to clear your original answer and have another go. If you can't work out the right answer then click on
to see the answer.
Question 1
Calculate the binary numbers:
(a)
111 ร 10
(b)
1100 ร 100
(c)
101 ร 1000
(d)
11101 ร 1000
(e)
10100 รท 10
(f)
1100 รท 100
Check your answers by converting to base 10 numbers.
Question 2
Calculate the binary numbers:
(a)
111 ร 11
(b)
1101 ร 11
(c)
1101 ร 101
(d)
1111 ร 110
(e)
11011 ร 1011
(f)
11010 ร 1011
(g)
10101 ร 101
(h)
10101 ร 111
(i)
10101 ร 110
(j)
100111 ร 1101
Question 5
Multiply each of the following binary numbers by itself:
(a)
101
(b)
1001
(c)
10001
(d)
100001
What would you expect to get if you multiplied 1000001 by itself?
Question 6
Calculate the binary numbers:
(a)
101 (110 + 1101)
(b)
1101 (1111 โ 110)
(c)
111 (1000 โ 101)
(d)
1011 (10001 โ 1010)
Question 8
(a) Multiply the base 10 numbers 45 and 33.
(b) Convert your answer to a binary number.
(c) Convert 45 and 33 to binary numbers.
and
(d) Multiply the binary numbers obtained in part (c) and compare this answer with your answer to part (b).
(b) |
| Markdown | # Unit 1 Section 3 : Multiplying Binary Numbers
Long multiplication can be carried out with binary numbers and is explored in this section.
Note that multiplying by numbers like 10, 100 and 1000 is very similar to working with base 10 numbers.
## Example 1
Calculate the binary numbers:
| | | |
|---|---|---|
| (a) | 1011 ร 100 |  |
| (b) | 110110 ร 1000 |  |
| (c) | 11011 ร 10000 |  |
## Example 2
Calculate the binary numbers:
| | | |
|---|---|---|
| (a) | 1011 ร 11 |  |
| (b) | 1110 ร 101 |  |
| (c) | 11011 ร 111 |  |
| (d) | 11011 ร 1001 |  |
## Exercises
Work out the answers to the questions below and fill in the boxes. Click on the  button to find out whether you have answered correctly. If you are right then  will appear and you should move on to the next question. If  appears then your answer is wrong. Click on  to clear your original answer and have another go. If you can't work out the right answer then click on  to see the answer. |
| Readable Markdown | Long multiplication can be carried out with binary numbers and is explored in this section.
Note that multiplying by numbers like 10, 100 and 1000 is very similar to working with base 10 numbers.
## Exercises
Work out the answers to the questions below and fill in the boxes. Click on the  button to find out whether you have answered correctly. If you are right then  will appear and you should move on to the next question. If  appears then your answer is wrong. Click on  to clear your original answer and have another go. If you can't work out the right answer then click on  to see the answer. |
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| Unparsed URL | uk,org,cimt!www,/projects/mepres/book9/bk9i1/bk9_1i3.html s443 |