Question

decimal to binary 987 with checking please write in copy then send me with check
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Answer 1

Here I will show you step-by-step how to convert the decimal number 987 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 i explain the steps to converting 987 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 987 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 987 as a binary.

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

987 / 2 = 493 with 1 remainder

493 / 2 = 246 with 1 remainder

246 / 2 = 123 with 0 remainder

123 / 2 = 61 with 1 remainder

61 / 2 = 30 with 1 remainder

30 / 2 = 15 with 0 remainder

15 / 2 = 7 with 1 remainder

7 / 2 = 3 with 1 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 987 converted to binary is therefore:

1111011011

 

So what we did was to Convert A10 to B2, where A is the decimal number 987 and B is the binary number 1111011011. Which means that you can display decimal number 987 to binary in mathematical terms as follows:

98710 = 11110110112

Answer 2

Given:

decimal number = 987

To find:

the binary equivalent of the number

Solution:

In order to convert the number from decimal to binary, we divide the number by 2 and in the end, take the remainder from each division in reverse order.

Division 1:

$\frac{987}{2} =493$, remainder = 1

Division 2:

$\frac{493}{2}=246$, remainder = 1

Division 3:

$\frac{246}{2}=123$, remainder = 0

Division 4:

$\frac{123}{2}=61$, remainder = 1

Division 5:

$\frac{61}{2} =30$, remainder = 1

Division 6:

$\frac{30}{2} =15$, remainder = 0

Division 7:

$\frac{15}{2} =7$, remainder = 1

Division 8:

$\frac{7}{2} =3$, remainder = 1

Division 9:

$\frac{3}{2} =1$, remainder = 1

Division 8:

$\frac{1}{2} =0$, remainder = 1

Now, taking the remainders in reverse order, we get 111011011.

Hence, the binary equivalent of 987 is 1111011011.