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
​

Answer 1

Solutions:

Ans#1:

101101

+ 10100

1000001

Ans#2:

01010011

+01110110

11001001

Ans#3:

101101

- 10100

011001

Ans#4:

11001011

- 1010110

10010100

Step-by-step 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

Answer 2

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

Step-by-step 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.