Question

subtract the binary number given below

01100110-11001001

plzzzz give me the answer in step by step

Answer 1

Given 1st Binary number:

01100110

Given 2nd binary number:

11001001.


Now,

We have to convert the 1st binary to decimal:

01100110 = > 0 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 0 * 2^3 + 1 * 2^2 + 1 * 2^1 + 0 * 2^0

= > 0 + 64 + 32 + 0 + 4 + 2

= > 102.


Now,

We have to convert 2nd binary to decimal.

11001001 = > 1 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^2 + 1 * 2^0

= > 128 + 64 + 8

= > 200.


Their Difference = 102 - 100

                            = 99.


Now,

We have to convert Binary to decimal.

2 | 99

2 | 49 - 1

2 | 24 - 1

2 | 12 - 0

2 | 6 - 0

2 | 3 - 0

2 | 1 - 1


= (1100011).



Therefore the result is 1100011.


Hope this helps!