Question

When two n-bit binary numbers are added, the sum will contain at the most
(a)
n bits
(b) (n + 1) bits
(c) (n + 2) bits
(d) (n + 3) bits

Answer 1

Answer:

option b is correct answer

Step-by-step explanation:

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Answer 2

When two n-bit binary numbers are added, the sum will contain at the most:

(b) (n+1) bits.

• Suppose we add any two n-bit binary numbers then the result that is the sum of those two n-bit binary numbers will result in (n+1) bits. When we are dealing with the n-bit binary numbers we are basically representing the number as $2^n$. Therefore, adding them it will result in (n+1) bits.
• If we take an example of two n-bit binary numbers such as: $(11111111)_2$ and $(11111111)_2$ adding them it will result in $(111111110)_2$ which is the (n+1)th term.