957 Decimal in Binary
Let's convert the decimal number 957 to binary without using a calculator:
Start by dividing 957 by 2:
957 ÷ 2 = 478 (Quotient) with a remainder of 1
Now, divide the quotient (478) by 2:
478 ÷ 2 = 239 (Quotient) with a remainder of 0
Now, divide the quotient (239) by 2:
239 ÷ 2 = 119 (Quotient) with a remainder of 1
Now, divide the quotient (119) by 2:
119 ÷ 2 = 59 (Quotient) with a remainder of 1
Now, divide the quotient (59) by 2:
59 ÷ 2 = 29 (Quotient) with a remainder of 1
Now, divide the quotient (29) by 2:
29 ÷ 2 = 14 (Quotient) with a remainder of 1
Now, divide the quotient (14) by 2:
14 ÷ 2 = 7 (Quotient) with a remainder of 0
Now, divide the quotient (7) by 2:
7 ÷ 2 = 3 (Quotient) with a remainder of 1
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:
1110111101