Find the sum and product of the following pair of binary...

Find the sum and product of the following pair of binary integers: a = (11101111)2, b = (10111101)2 a + b = a · b = (write the answer as a sequence of 0/1's without any other symbols) What are the decimal representations of a and b? a = b =

Transcript

0:00 Hello friends.

00:01 In this question we need to find the sum and product of the binary pair of integers given a and b as a equal to 11111 and b equal to 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 so we find a plus b as 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1111 plus 1 -111111 so the sum is so now by binary addition we do 1 plus 1 and 0 and 1 has been carried over again 1 plus 1 is 0 1 has been carried over so adding of 3 1s we get 1 and 1 has been carried over again it is 1 and one carried over we get 1 plus 1 as 0 and 1 carried over is 1 and carried over 1 we get 0 and again 1 carried over we get 1 1 1 1 thus the binary addition of a plus b is 11110 1100 next we need to do the multiplication of the binary number so a into b is we write a as 1111 -0 -11 and multiplied by b is 1 -0 -1 -1 -1 -1 -1 -1.

01:47 So this is like a normal multiplication.

01:51 So we write 1 into 1 as 1 and again 1 into 1 is 1.

01:56 So 1 into 1 is 1.

01:58 1 into 1 is 1.

01:59 1.

01:59 1 into 0 is 1.

02:00 Is 0 and again 1 into 1 is 1 1 and 1.

02:06 So coming to the next number it is 0.

02:09 So 0 multiplied by these numbers are 0.

02:12 So we move to the next number as 1.

02:15 So again by multiplying we get the same numbers as like this.

02:21 So moving to this point we write 1 1 1 1 1 0 0 0 1 1 1...

Question

Find the sum and product of the following pair of binary integers: a = (11101111)2, b = (10111101)2 a + b = a · b = (write the answer as a sequence of 0/1's without any other symbols) What are the decimal representations of a and b? a = b =

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