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The product of two binary numbers (1011) and (1001) is
- a)1100011
- b)1010100
- c)1011001
- d)100110
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The product of two binary numbers (1011) and (1001) isa)1100011b)10101...
A tutorial on how to multiply binary numbers, along with examples, exercises and answers is presented.
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 additions are similar to those of decimal.
We now multiply numbers with more than one digit: 1 0 1 1 x 1 0 0 1
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.
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Community Answer
The product of two binary numbers (1011) and (1001) isa)1100011b)10101...
Solution:
To multiply two binary numbers, we use the same method as we use to multiply decimal numbers. We multiply each digit of one number with each digit of the other number and add the results.
The given binary numbers are (1011) and (1001).
To multiply these numbers, we follow the following steps:
Step 1: Multiply the last digit of the second number with each digit of the first number.
1 0 1 1 (first number)
* 1 0 0 1 (second number)
------------------
1 0 1 1 (partial product)
Step 2: Multiply the second-last digit of the second number with each digit of the first number and add the results.
1 0 1 1 (first number)
* 1 0 0 1 (second number)
------------------
1 0 1 1 (partial product)
1 0 1 1 (partial product)
------------------
1 1 0 0 0 1 (final product)
Therefore, the product of (1011) and (1001) is (1100011), which is option A.
To multiply two binary numbers, we use the same method as we use to multiply decimal numbers. We multiply each digit of one number with each digit of the other number and add the results.
The given binary numbers are (1011) and (1001).
To multiply these numbers, we follow the following steps:
Step 1: Multiply the last digit of the second number with each digit of the first number.
1 0 1 1 (first number)
* 1 0 0 1 (second number)
------------------
1 0 1 1 (partial product)
Step 2: Multiply the second-last digit of the second number with each digit of the first number and add the results.
1 0 1 1 (first number)
* 1 0 0 1 (second number)
------------------
1 0 1 1 (partial product)
1 0 1 1 (partial product)
------------------
1 1 0 0 0 1 (final product)
Therefore, the product of (1011) and (1001) is (1100011), which is option A.
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