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URLhttps://www.newtechnologysite.com/computers/multiplication_binary.html
Last Crawled2026-03-30 06:00:52 (11 days ago)
First Indexed2026-01-02 17:44:30 (3 months ago)
HTTP Status Code200
Meta TitleMultiplication of Binary Numbers
Meta DescriptionA tutorial on how to multiply binary numbers is presented along with examples, exercises and their answers.
Meta Canonicalnull
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
Shard151 (laksa)
Root Hash14990461684850776351
Unparsed URLcom,newtechnologysite!www,/computers/multiplication_binary.html s443