Convert 1066 to binary
Computer Science
ScanSolve AI Answer
Answer
To convert 1066 to binary, we use successive division by 2 and record the remainders.
Step-by-step solution
12 stepsDivide 1066 by 2.
1066 ÷ 2 = 533 remainder 0
Divide 533 by 2.
533 ÷ 2 = 266 remainder 1
Divide 266 by 2.
266 ÷ 2 = 133 remainder 0
Divide 133 by 2.
133 ÷ 2 = 66 remainder 1
Divide 66 by 2.
66 ÷ 2 = 33 remainder 0
Divide 33 by 2.
33 ÷ 2 = 16 remainder 1
Divide 16 by 2.
16 ÷ 2 = 8 remainder 0
Divide 8 by 2.
8 ÷ 2 = 4 remainder 0
Divide 4 by 2.
4 ÷ 2 = 2 remainder 0
Divide 2 by 2.
2 ÷ 2 = 1 remainder 0
Divide 1 by 2.
1 ÷ 2 = 0 remainder 1
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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