Question

Convert the decimal number into binary number 657 with method plz

Answer 1

Required Answer:-

Given Decimal Number:

• (657)₁₀

To Find:

• The binary equivalent of the given number.

Solution:

Calculation is given below -

$\dag \: \: \boxed{\begin{array}{c|c|c}\tt2&\tt657&\tt\\ \tt2&\tt328&\tt1\\ \tt2&\tt164&\tt0\\ \tt2&\tt82&\tt0\\ \tt2&\tt41&\tt0\\ \tt2&\tt20&\tt1\\ \tt2&\tt10&\tt0\\ \tt2&\tt5&\tt0\\ \tt2&\tt2&\tt1\\ \tt2&\tt1&\tt0\\ \tt2&\tt0&\tt1\end{array}}$

Now, on writing the remainders obtained from bottom to top, we get,

>> (657)₁₀ = (1010010001)₂ which is our required answer.

Answer:

• (1010010001)₂

Steps To Convert:

• Repeatedly divide the number by 2 until the quotient is not 0.
• Write the remainder obtained on the right side.
• Now, write all the remainders obtained in reverse order.
• Result obtained is the binary equivalent of the given number.

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