(101)2 + (110)2. Simplify it?
- (1001)2
- (1011)2
- (1000)2
- None of these
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
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