(101)2 + (110)2. Simplify it?

(101)2 + (110)2. Simplify it?

Explanation

Step 1: Convert binary numbers to decimal for easier calculation

(101)2 = 1 × 2^2 + 0 × 2^1 + 1 × 2^0 = 4 + 0 + 1 = 5

(110)2 = 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 4 + 2 + 0 = 6

Step 2: Add the decimal values

5 + 6 = 11

Step 3: Convert the sum back to binary

11 = 8 + 2 + 1 = 2^3 + 2^1 + 2^0 = (1011)2