967 Decimal in Binary

Let's convert the decimal number 967 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 967 by 2:

967 ÷ 2 = 483 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (483) by 2:

483 ÷ 2 = 241 (Quotient) with a remainder of 1

Step 3: Divide the Quotient

Now, divide the quotient (241) by 2:

241 ÷ 2 = 120 (Quotient) with a remainder of 1

Step 4: Divide the Quotient

Now, divide the quotient (120) by 2:

120 ÷ 2 = 60 (Quotient) with a remainder of 0

Step 5: Divide the Quotient

Now, divide the quotient (60) by 2:

60 ÷ 2 = 30 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (30) by 2:

30 ÷ 2 = 15 (Quotient) with a remainder of 0

Step 7: Divide the Quotient

Now, divide the quotient (15) by 2:

15 ÷ 2 = 7 (Quotient) with a remainder of 1

Step 8: Divide the Quotient

Now, divide the quotient (7) by 2:

7 ÷ 2 = 3 (Quotient) with a remainder of 1

Step 9: Divide the Quotient

Now, divide the quotient (3) by 2:

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

Step 10: Final actions

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

Step 11: Write the Remainders in Reverse Order

Now, write down the remainders obtained in reverse order:

1111000111

So, the binary representation of the decimal number 967 is 1111000111.

Decimal To Binary Converter

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