Question

convert 657 into binary Numbers
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Answer 1

Answer:

Here we will show you step-by-step how to convert the decimal number 657 to binary.

First, note that decimal numbers use 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) and binary numbers use only 2 digits (0 and 1).

As we explain the steps to converting 657 to binary, it is important to know the name of the parts of a division problem. In a problem like A divided by B equals C, A is the Dividend, B is the Divisor and C is the Quotient.

The Quotient has two parts. The Whole part and the Fractional part. The Fractional part is also known as the Remainder.

Step 1) Divide 657 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.

Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.

Step 3) Repeat Step 2 above until the Whole part is 0.

Step 4) Write down the Remainders in reverse order to get the answer to 657 as a binary.

Here we will show our work so you can follow along:

657 / 2 = 328 with 1 remainder

328 / 2 = 164 with 0 remainder

164 / 2 = 82 with 0 remainder

82 / 2 = 41 with 0 remainder

41 / 2 = 20 with 1 remainder

20 / 2 = 10 with 0 remainder

10 / 2 = 5 with 0 remainder

5 / 2 = 2 with 1 remainder

2 / 2 = 1 with 0 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 657 converted to binary is therefore:

1010010001

Answer 2

To convert decimal number 657 to binary, follow these steps:

Step 1:Divide 657 by 2 keeping notice of the quotient and the remainder.

Step 2:Continue dividing the quotient by 2 until you get a quotient of zero.

Step 3:Then just write out the remainders in the reverse order to get binary equivalent of decimal number 657.

Using the above steps, here is the work involved in the solution for converting 657 to binary number:

657 / 2 = 328 with remainder 1

328 / 2 = 164 with remainder 0

164 / 2 = 82 with remainder 0

82 / 2 = 41 with remainder 0

41 / 2 = 20 with remainder 1

20 / 2 = 10 with remainder 0

10 / 2 = 5 with remainder 0

5 / 2 = 2 with remainder 1

2 / 2 = 1 with remainder 0

1 / 2 = 0 with remainder 1

Then just write down the remainders in the reverse order to get the answer, The decimal number 657 converted to binary is therefore equal to :

1010010001

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