What is the sum of the binary numbers (101101101)_2 and (100011)_2 ?

Question

Quantrex Academy · Accepted Answer

Correct answer: A. (110010000)_2

Converting the given binary numbers to decimal:

(101101101)_2 = 1 \times 2^8 + 0 \times 2^7 + 1 \times 2^6 + 1 \times 2^5 + 0 \times 2^4 + 1 \times 2^3 + 1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0

(101101101)_2 = 256 + 0 + 64 + 32 + 0 + 8 + 4 + 0 + 1 = 365

(100011)_2 = 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0

(100011)_2 = 32 + 0 + 0 + 0 + 2 + 1 = 35

Adding the decimal values:

Sum

= 365 + 35 = 400

Converting

400

back to binary:

400 = 256 + 128 + 16 = 2^8 + 2^7 + 2^4

Therefore,

400 = (110010000)_2

Answer:

(110010000)_2

Options