Question

convert the following decimal number to binary .... 98​

Answer 1

Answer:

Therefore, 98 in decimal is 1100010 in binary.

Answer 2

Answer:

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 I explain the steps to converting 98 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 98 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 98 as a binary.

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

98 / 2 = 49 with 0 remainder

49 / 2 = 24 with 1 remainder

24 / 2 = 12 with 0 remainder

12 / 2 = 6 with 0 remainder

6 / 2 = 3 with 0 remainder

3 / 2 = 1 with 1 remainder

1 / 2 = 0 with 1 remainder

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 98 converted to binary is, therefore:

1100010

So what we did on the page was to Convert A10 to B2, where A is the decimal number 98 and B is the binary number 1100010. Which means that you can display decimal number 98 to binary in mathematical terms as follows:

98₁₀ = 1100010₂

Hope it Helps,

Byeeee