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What is the binary equivalent of decimal 413?
Question

What is the binary equivalent of decimal 413?

A.

110011101

B.

100111111

C.

110110111

D.

111001001

Correct option is A


Divide the Decimal Number by 2: Repeatedly divide 413 by 2 , noting the quotient and remainder at each step.

Division Step
Quotient
Remainder
206
1
103
0
51
1
25
1
12
1
6
0
3
0
1
1
0
1
Write the Binary Representation:
The binary equivalent is obtained by writing the remainders from bottom to top:

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