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What is the binary equivalent of 726?
Question



What is the binary equivalent of 726?

A.

1011010110

B.

1101101010

C.

1110010110

D.

1010110110

E.

1110101010

Correct option is A

To convert 726 from decimal to binary, use the division by 2 methods:
Steps:
1. 726÷2=363 Remainder: 0
2. 363÷2=181 Remainder: 1
3. 181÷2=90 Remainder: 1
4. 90÷2=45 Remainder: 0
5. 45÷2=22 Remainder: 1
6. 22÷2=11 Remainder: 0
7. 11÷2=5 Remainder: 1
8. 5÷2=2 Remainder: 1
9. 2÷2=1 Remainder: 0
10. 1÷2=0 Remainder: 1
Writing the remainders in reverse order:
Binary: 1011010110
Important Key Points:
1. Binary numbers are represented using only 0s and 1s (base-2).
2. The division-by-2 method ensures accurate conversion.
3. The binary number 1011010110 corresponds to 726 in decimal.

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