# 6463 Decimal in Binary

Let's convert the decimal number 6463 to binary without using a calculator:

Start by dividing 6463 by 2:

`6463 ÷ 2 = 3231 (Quotient) with a remainder of `

**1**

Now, divide the quotient (3231) by 2:

`3231 ÷ 2 = 1615 (Quotient) with a remainder of `

**1**

Now, divide the quotient (1615) by 2:

`1615 ÷ 2 = 807 (Quotient) with a remainder of `

**1**

Now, divide the quotient (807) by 2:

`807 ÷ 2 = 403 (Quotient) with a remainder of `

**1**

Now, divide the quotient (403) by 2:

`403 ÷ 2 = 201 (Quotient) with a remainder of `

**1**

Now, divide the quotient (201) by 2:

`201 ÷ 2 = 100 (Quotient) with a remainder of `

**1**

Now, divide the quotient (100) by 2:

`100 ÷ 2 = 50 (Quotient) with a remainder of `

**0**

Now, divide the quotient (50) by 2:

`50 ÷ 2 = 25 (Quotient) with a remainder of `

**0**

Now, divide the quotient (25) by 2:

`25 ÷ 2 = 12 (Quotient) with a remainder of `

**1**

Now, divide the quotient (12) by 2:

`12 ÷ 2 = 6 (Quotient) with a remainder of `

**0**

Now, divide the quotient (6) by 2:

`6 ÷ 2 = 3 (Quotient) with a remainder of `

**0**

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:

`1100100111111`

**6463**is

**1100100111111**.