745 Decimal in Binary

Let's convert the decimal number 745 to binary without using a calculator:

Step 1: Divide by 2

Start by dividing 745 by 2:

745 ÷ 2 = 372 (Quotient) with a remainder of 1

Step 2: Divide the Quotient

Now, divide the quotient (372) by 2:

372 ÷ 2 = 186 (Quotient) with a remainder of 0

Step 3: Divide the Quotient

Now, divide the quotient (186) by 2:

186 ÷ 2 = 93 (Quotient) with a remainder of 0

Step 4: Divide the Quotient

Now, divide the quotient (93) by 2:

93 ÷ 2 = 46 (Quotient) with a remainder of 1

Step 5: Divide the Quotient

Now, divide the quotient (46) by 2:

46 ÷ 2 = 23 (Quotient) with a remainder of 0

Step 6: Divide the Quotient

Now, divide the quotient (23) by 2:

23 ÷ 2 = 11 (Quotient) with a remainder of 1

Step 7: Divide the Quotient

Now, divide the quotient (11) by 2:

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

Step 8: Divide the Quotient

Now, divide the quotient (5) by 2:

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

Step 9: Divide the Quotient

Now, divide the quotient (2) by 2:

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

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:

1011101001

So, the binary representation of the decimal number 745 is 1011101001.

Decimal To Binary Converter

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