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| URL | https://www.newtechnologysite.com/computers/multiplication_binary.html |
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| Meta Title | Multiplication of Binary Numbers |
| Meta Description | A tutorial on how to multiply binary numbers is presented along with examples, exercises and their answers. |
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| Boilerpipe Text | Table of Contents
A tutorial on how to multiply
binary numbers
, along with examples, exercises and answers is presented.
Add binary numbers with one digit
let us first
add binary numbers
with one digit.
0 x 0 = 0
0 x 1 = 1
1 x 0 = 1
1 x 1 = 1
The above simple mutliplications are similar to those of decimal.
Multiply binary numbers
We now multiply numbers with more than one digit: 1 0 1 1 x 1 0 0 1
The multiplication of binary numbers is similar to the multiplication of decimal numbers.
1
0
1
1
x
1
0
0
1
____
____
____
____
1
0
1
1
0
0
0
0
0
0
0
0
1
0
1
1
___
___
___
___
___
___
___
1
1
0
0
0
1
1
The multiplication of binary numbers is done by shifting by one bit and adding. It can be easily checked that 1011 which is 11 in decimal multiplied by 1001 which is 9 in binary gives 99 which is 1100011 in binary.
Exercises
A) Multiply the binary numbers.
111 x 11
1011 x 111
10101 x 1101
100011 x 1100011 (you need to know that 1 + 1 + 1 + 1 = 100 carry 10)
Answers to Above Exercises
111 x 11 = 10101
1011 x 111 = 1001101
10101 x 1101 = 100010001
100011 x 1100011 = 110110001001 |
| Markdown | # Multiplication of Binary Numbers
[Table of Contents](http://www.newtechnologysite.com/index.html)
A tutorial on how to multiply [binary numbers](http://www.newtechnologysite.com/computers/binary_numbers.html), along with examples, exercises and answers is presented.
## Add binary numbers with one digit
let us first [add binary numbers](http://www.newtechnologysite.com/computers/addition_binary.html) with one digit.
0 x 0 = 0
0 x 1 = 1
1 x 0 = 1
1 x 1 = 1
The above simple mutliplications are similar to those of decimal.
## Multiply binary numbers
We now multiply numbers with more than one digit: 1 0 1 1 x 1 0 0 1
The multiplication of binary numbers is similar to the multiplication of decimal numbers.
| | | | | | | |
|---|---|---|---|---|---|---|
| | | | 1 | 0 | 1 | 1 |
| | | x | | | | |
| | | | 1 | 0 | 0 | 1 |
| | | | \_\_\_\_ | \_\_\_\_ | \_\_\_\_ | \_\_\_\_ |
| | | | 1 | 0 | 1 | 1 |
| | | 0 | 0 | 0 | 0 | |
| | 0 | 0 | 0 | 0 | | |
| 1 | 0 | 1 | 1 | | | |
| \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ |
| 1 | 1 | 0 | 0 | 0 | 1 | 1 |
The multiplication of binary numbers is done by shifting by one bit and adding. It can be easily checked that 1011 which is 11 in decimal multiplied by 1001 which is 9 in binary gives 99 which is 1100011 in binary.
## Exercises
A) Multiply the binary numbers.
1. 111 x 11
2. 1011 x 111
3. 10101 x 1101
4. 100011 x 1100011 (you need to know that 1 + 1 + 1 + 1 = 100 carry 10)
## Answers to Above Exercises
1. 111 x 11 = 10101
2. 1011 x 111 = 1001101
3. 10101 x 1101 = 100010001
4. 100011 x 1100011 = 110110001001 |
| Readable Markdown | [Table of Contents](http://www.newtechnologysite.com/index.html)
A tutorial on how to multiply [binary numbers](http://www.newtechnologysite.com/computers/binary_numbers.html), along with examples, exercises and answers is presented.
## Add binary numbers with one digit
let us first [add binary numbers](http://www.newtechnologysite.com/computers/addition_binary.html) with one digit.
0 x 0 = 0
0 x 1 = 1
1 x 0 = 1
1 x 1 = 1
The above simple mutliplications are similar to those of decimal.
## Multiply binary numbers
We now multiply numbers with more than one digit: 1 0 1 1 x 1 0 0 1
The multiplication of binary numbers is similar to the multiplication of decimal numbers.
| | | | | | | |
|---|---|---|---|---|---|---|
| | | | 1 | 0 | 1 | 1 |
| | | x | | | | |
| | | | 1 | 0 | 0 | 1 |
| | | | \_\_\_\_ | \_\_\_\_ | \_\_\_\_ | \_\_\_\_ |
| | | | 1 | 0 | 1 | 1 |
| | | 0 | 0 | 0 | 0 | |
| | 0 | 0 | 0 | 0 | | |
| 1 | 0 | 1 | 1 | | | |
| \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ | \_\_\_ |
| 1 | 1 | 0 | 0 | 0 | 1 | 1 |
The multiplication of binary numbers is done by shifting by one bit and adding. It can be easily checked that 1011 which is 11 in decimal multiplied by 1001 which is 9 in binary gives 99 which is 1100011 in binary.
## Exercises
A) Multiply the binary numbers.
1. 111 x 11
2. 1011 x 111
3. 10101 x 1101
4. 100011 x 1100011 (you need to know that 1 + 1 + 1 + 1 = 100 carry 10)
## Answers to Above Exercises
1. 111 x 11 = 10101
2. 1011 x 111 = 1001101
3. 10101 x 1101 = 100010001
4. 100011 x 1100011 = 110110001001 |
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