Question

1. Perform the following Binary Additions 101101 + 10100 *

Your answer

2. Perform the following Binary Additions 01010011 + 01110110 *

Your answer

3. Compute the following 101101 - 10100 *

Your answer

4. Compute the following 11001011 - 1010110 *

your answer
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Answer 1

Answer:

1.         carry   1  1  1

                      1  0 1 1 0 1

                      +  1 0 1 0 0

                       ------------------------

   Answer: 1  0 0 0  0 0 1  

2.         carry  1 1  1 0 1  1  

                     0 1 0 1 0 0 1 1

                  + 0 1 1  1 0  1  1 0

                  --------------------------

    Answer: 0 1  1 0 0 1 0 0 1

3.                   1 0 1 1 0 1

                    -   1 0 1 0 0

                   -------------------------

       Answer: 0 1 1 0 0 1

4.                      1 1 0 0 1 0 1 1

                      -    1 0 1 0 1 1 0

                     -----------------------------

        Answer:   01 1 1 0 1 0 1

Explanation:

In Binary addition when you add 1 + 1 = 0, carry over the 1, i.e 10

in Subtraction when you subtract 0-1 = 1,  brow 1 from left side, resulting in -1 carried over.

Answer 2

Answer:

Solutions:

Ans#1:

   101101

+   10100

1000001  

Ans#2:

01010011

+01110110

11001001

Ans#3:

101101

- 10100

011001  

Ans#4:

11001011

- 1010110

10010100

Explanation:

The given answers are in Binary.

In binary we add the digits in 1 and 0 form.

Addition in Binary:

1 + 0 = 1

0 + 1 = 1

0 + 0 = 0

1 + 1 = 10

Subtraction in Binary:

1 - 0 = 1

1 - 1 = 0

0 - 1 = 1 (it's because the 0 borrows a 1)

0 - 0 = 0