Question

Perform Binary addition on the following
a) 11111 + 1111

b) 11011 + 11011​

Answer 1

Answer:

Binary addition rules

0+0=0

0+1=1

1+0=1

1+1=sum=0 carry=1

1+1+1=sum=1 carry=1

Explanation:

A.

11111

1111

C=1 01110

Ans. 101110

B.

11011

+ 11011

C=1 10110

Ans. 110110

Answer 2

The require answer is 011110, 0110110.

binary opreation : We take the set of numbers on which binary operations are performed as X. Operations (addition, subtraction, division, multiplication, etc.) can be generalized by performing a binary operation on two elements (say a and b) of the set X. The result of an operation on a and b is another element from the same set X.

Thus, a binary operation can be defined as an operation * that is performed on the set A. The function is given by the relation *: A * A → A. The operation * performed on the operands a and b is therefore denoted by a *b.

Binary addition: The binary addition operation works similar to the base-10 decimal system, except that it is a base-2 system. The binary system consists of only two digits, 1 and 0. Most computer system functions use the binary number system. Binary code uses the digits 1 and 0 to turn certain processes off or on. The process of addition operation is very familiar for base 2 decimal system.

Before attempting the process of binary addition, we should have complete knowledge of how place works in the binary number system. Because most modern digital computers and electronic circuits perform a binary operation by representing each bit as a voltage signal. Bit 0 represents the "OFF" state and bit 1 represents the "ON" state.

      1 1 1 1                                   1 1 0 1 1

+                                           +

      1 1 1 1                                   1 1 0 1 1

⇒011110                            ⇒    0110110

Hence the require answer is 011110, 0110110.

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