Question

 In binary addition (11111) with base 2 +(1011) with base 2​

Answer 1

Answer:

Unit 1 Section 2 : Adding and Subtracting Binary Numbers

It is possible to add and subtract binary numbers in a similar way to base 10 numbers.

For example, 1 + 1 + 1 = 3 in base 10 becomes 1 + 1 + 1 = 11 in binary.

In the same way, 3 – 1 = 2 in base 10 becomes 11 – 1 = 10 in binary.

When you add and subtract binary numbers you will need to be careful when 'carrying' or 'borrowing' as these will take place more often.

Key Addition Results for Binary Numbers

1 + 0 = 1

1 + 1 = 10

1 + 1 + 1 = 11

Key Subtraction Results for Binary Numbers

1 – 0 = 1

10 – 1 = 1

11 – 1 = 10

Example 1

Calculate, using binary numbers:

(a) 111 + 100

(b) 101 + 110

(c) 1111 + 111

Example 2

Calculate the binary numbers:

(a) 111 – 101

(b) 110 – 11

(c) 1100 – 101

Answer 2

Answer:

101010

Explanation:

In binary number

0+0 = 0

1+0 = 1

Similarly,

0+1 =1

1+1 = 10 ( here 0 is written in the same column and 1 is carry over )

1+1+1 = 10+1= 11

Therefore,

11111 + 1011 = 101010