Question

De ansient on Binary addition subtraction and multipation in holiday hometas
11010 01011 0011111*01001 (1) 101010 011011 000111•110011
100-0013 (3)101010111 (0)10111-01010
0111000111
11X110 110110 1101 ()10111x101 01101 x 111​

Answer 1

Addition of Binary:

1. 11010 + 010111 = 0110001
2. 11111 + 01001 = 0101000
3. 101010 + 011011 = 01000101
4. 000111 + 110011 = 0111010

Subtraction of Binary:

1. 11100 - 0011  = 011001
2. 10101 - 0111 = 01110
3. 10111 - 01010 = 01101
4. 01110 - 00111 = 0111

Multiplication of Binary:

1. 1111 x 110 = 01011010
2. 10110 x 1101 = 0100011110
3. 10111 x 101 = 01110011
4. 01101 x 111 = 01011011

Explanation:

Addition:

• binary addition is also type of decimal addition,but carry forwards will change that's it
• in decimal addition if you add 8 + 2 you get 10 then 0 will be placed and 1 will be carry forwarded
• same happens in binary addition but for 1 + 1 then 1 will be carry forwarded by placing 0 in the value

RULES IN BINARY ADDITION:

1. 0 + 0 = 0
2. 0 + 1 = 1
3. 1 + 0 = 1
4. 1 + 1 = 10 (1 is carry forwarded )

• for example you are adding 2 binary number 10 + 11 so from last 0 + 1 we get no carry i.e, is 0
• after we add 1 + 1 then we get 10 then the answer for 10 + 11 in binary is 101
• in decimal 10 is 2 and 11 is 3 and 101 is 5 so it will not change the way

Subtraction:

Rules of Binary Subtraction

1. 0 - 0 = 0
2. 1 - 0 = 1
3. 1 - 1 = 0
4. 0 - 1 = 1 with a borrow of 1

• for example if you want to subtract 2 binary numbers 11 and 10
• from last 1 - 0 that is 1 and 1 - 1 that is 0 so the answer will be 11 - 10 = 01
• in decimals 11 is 3 and 10 is 2 so but subtracting them both we get 01 which is 1

Multiplication:

Rules of Binary multiplication:

1. 0 x 0 = 0
2. 0 x  1 (or) 1 x 0 = 0
3. 1 x 1 = 1

• for example take 2 binary number 10 and 11 and start multiplying same method we use in decimals
• multiply 0 x 1 and 1 x 1 the first part we have is 01
• and second part again 1 x 0 and 1 x 1 we have same output 01
• those 2 are added in the way of same decimal method the answer will be 101
• 10 is 2 in decimal 11 is 3 in decimal by multiplication we get 101 which is 5

---Hope this will help you solve your holiday home work mark brainliest if you like my answer... :)