364 Decimal in Binary

Let's convert the decimal number 364 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 364 by 2:

364 ÷ 2 = 182 (Quotient) with a remainder of 0

Step 2: Divide the Quotient

Now, divide the quotient (182) by 2:

182 ÷ 2 = 91 (Quotient) with a remainder of 0

Step 3: Divide the Quotient

Now, divide the quotient (91) by 2:

91 ÷ 2 = 45 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (45) by 2:

45 ÷ 2 = 22 (Quotient) with a remainder of 1

Step 5: Divide the Quotient

Now, divide the quotient (22) by 2:

22 ÷ 2 = 11 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (11) by 2:

11 ÷ 2 = 5 (Quotient) with a remainder of 1

Step 7: Divide the Quotient

Now, divide the quotient (5) by 2:

5 ÷ 2 = 2 (Quotient) with a remainder of 1

Step 8: Divide the Quotient

Now, divide the quotient (2) by 2:

2 ÷ 2 = 1 (Quotient) with a remainder of 0

Step 9: Final actions

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

Step 10: Write the Remainders in Reverse Order

Now, write down the remainders obtained in reverse order:

101101100

So, the binary representation of the decimal number 364 is 101101100.

Decimal To Binary Converter

Other examples of Decimal to Binary conversion