Question

Convert decimal number 1986 into binary​

Answer 1

Answer:

to convert the decimal number 1986 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 1986 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.

Explanation:

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Answer 2

Answer:

1986 / 2 = 993 with 0 remainder

993 / 2 = 496 with 1 remainder

496 / 2 = 248 with 0 remainder

248 / 2 = 124 with 0 remainder

124 / 2 = 62 with 0 remainder

62 / 2 = 31 with 0 remainder

31 / 2 = 15 with 1 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

Explanation:

Then, when we put the remainders together in reverse order, we get the answer. The decimal number 1986 converted to binary is therefore:

11111000010