1309 Decimal in Binary
Let's convert the decimal number 1309 to binary without using a calculator:
Start by dividing 1309 by 2:
1309 ÷ 2 = 654 (Quotient) with a remainder of 1
Now, divide the quotient (654) by 2:
654 ÷ 2 = 327 (Quotient) with a remainder of 0
Now, divide the quotient (327) by 2:
327 ÷ 2 = 163 (Quotient) with a remainder of 1
Now, divide the quotient (163) by 2:
163 ÷ 2 = 81 (Quotient) with a remainder of 1
Now, divide the quotient (81) by 2:
81 ÷ 2 = 40 (Quotient) with a remainder of 1
Now, divide the quotient (40) by 2:
40 ÷ 2 = 20 (Quotient) with a remainder of 0
Now, divide the quotient (20) by 2:
20 ÷ 2 = 10 (Quotient) with a remainder of 0
Now, divide the quotient (10) by 2:
10 ÷ 2 = 5 (Quotient) with a remainder of 0
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:
10100011101