3009 Decimal in Binary
Let's convert the decimal number 3009 to binary without using a calculator:
Start by dividing 3009 by 2:
3009 ÷ 2 = 1504 (Quotient) with a remainder of 1
Now, divide the quotient (1504) by 2:
1504 ÷ 2 = 752 (Quotient) with a remainder of 0
Now, divide the quotient (752) by 2:
752 ÷ 2 = 376 (Quotient) with a remainder of 0
Now, divide the quotient (376) by 2:
376 ÷ 2 = 188 (Quotient) with a remainder of 0
Now, divide the quotient (188) by 2:
188 ÷ 2 = 94 (Quotient) with a remainder of 0
Now, divide the quotient (94) by 2:
94 ÷ 2 = 47 (Quotient) with a remainder of 0
Now, divide the quotient (47) by 2:
47 ÷ 2 = 23 (Quotient) with a remainder of 1
Now, divide the quotient (23) by 2:
23 ÷ 2 = 11 (Quotient) with a remainder of 1
Now, divide the quotient (11) by 2:
11 ÷ 2 = 5 (Quotient) with a remainder of 1
Now, divide the quotient (5) by 2:
5 ÷ 2 = 2 (Quotient) with a remainder of 1
Now, divide the quotient (2) by 2:
2 ÷ 2 = 1 (Quotient) with a remainder of 0
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:
101111000001