This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.
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Answer
533 remainder 0
To convert 1066 to binary, we use successive division by 2 and record the remainders.
Step 1: Divide 1066 by 2. 1066 ÷ 2 = 533 remainder 0
Step 2: Divide 533 by 2. 533 ÷ 2 = 266 remainder 1
Step 3: Divide 266 by 2. 266 ÷ 2 = 133 remainder 0
Step 4: Divide 133 by 2. 133 ÷ 2 = 66 remainder 1
Step 5: Divide 66 by 2. 66 ÷ 2 = 33 remainder 0
Step 6: Divide 33 by 2. 33 ÷ 2 = 16 remainder 1
Step 7: Divide 16 by 2. 16 ÷ 2 = 8 remainder 0
Step 8: Divide 8 by 2. 8 ÷ 2 = 4 remainder 0
Step 9: Divide 4 by 2. 4 ÷ 2 = 2 remainder 0
Step 10: Divide 2 by 2. 2 ÷ 2 = 1 remainder 0
Step 11: Divide 1 by 2. 1 ÷ 2 = 0 remainder 1
Step 12: Read the remainders from bottom to top. The remainders are 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0.
The binary representation of 1066 is 10000101010₂.
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To convert 1066 to binary, we use successive division by 2 and record the remainders.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.