6998 Decimal in Binary

Let's convert the decimal number 6998 to binary without using a calculator:

Start by dividing 6998 by 2:

6998 ÷ 2 = 3499 (Quotient) with a remainder of 0

Now, divide the quotient (3499) by 2:

3499 ÷ 2 = 1749 (Quotient) with a remainder of 1

Now, divide the quotient (1749) by 2:

1749 ÷ 2 = 874 (Quotient) with a remainder of 1

Now, divide the quotient (874) by 2:

874 ÷ 2 = 437 (Quotient) with a remainder of 0

Now, divide the quotient (437) by 2:

437 ÷ 2 = 218 (Quotient) with a remainder of 1

Now, divide the quotient (218) by 2:

218 ÷ 2 = 109 (Quotient) with a remainder of 0

Now, divide the quotient (109) by 2:

109 ÷ 2 = 54 (Quotient) with a remainder of 1

Now, divide the quotient (54) by 2:

54 ÷ 2 = 27 (Quotient) with a remainder of 0

Now, divide the quotient (27) by 2:

27 ÷ 2 = 13 (Quotient) with a remainder of 1

Now, divide the quotient (13) by 2:

13 ÷ 2 = 6 (Quotient) with a remainder of 1

Now, divide the quotient (6) by 2:

6 ÷ 2 = 3 (Quotient) with a remainder of 0

Now, divide the quotient (3) by 2:

3 ÷ 2 = 1 (Quotient) with a remainder of 1

The Quotient is less than 2 (1), so we will transfer it to the beginning of the number as a reminder.

Now, write down the remainders obtained in reverse order:

1101101010110