Question

binary addition of 1101+1001

Answer 1

Answer:

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Answer 2

The binary addition of 1101+1001 is 10110.

Explanation:

• Binary addition means the addition operation carried out on base 2 numbers.

• Binary addition is implemented with half adder or full adder circuits in digital electronics.

The fundamental norms of binary addition are:

          operator1      operator2            Sum          Carry

                0                    0                       0               0

                0                    1                        1                0

                1                     0                       1                0

                1                     1                        0               1

So, the binary addition of given numbers will be

                    $1 \hspace{1.16 cm} 1$

                    $0\hspace{0.275 cm}1\hspace{0.275 cm}1\hspace{0.275 cm}0\hspace{0.275 cm}1$

               +   $0\hspace{0.275 cm}1\hspace{0.275 cm}0\hspace{0.275 cm}0\hspace{0.275 cm}1$

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

                   $1\hspace{0.275 cm}0\hspace{0.275 cm}1\hspace{0.275 cm}1\hspace{0.275 cm}0$

• Let's verify the answer by performing the addition of the decimal equivalent numbers.

• Here, $(1101)_{2}=(13)_{10}$ and $(1001)_{2}=(9)_{10}$

• So, We know that : $13+9=22$

• And, the binary coequal of 22 is : $(22)_{10}=(10110)_{2}$

Thus. the binary addition of 1101 and 1001 is 10110.