# 4729 Decimal in Binary

Let's convert the decimal number 4729 to binary without using a calculator:

Start by dividing 4729 by 2:

`4729 ÷ 2 = 2364 (Quotient) with a remainder of `

**1**

Now, divide the quotient (2364) by 2:

`2364 ÷ 2 = 1182 (Quotient) with a remainder of `

**0**

Now, divide the quotient (1182) by 2:

`1182 ÷ 2 = 591 (Quotient) with a remainder of `

**0**

Now, divide the quotient (591) by 2:

`591 ÷ 2 = 295 (Quotient) with a remainder of `

**1**

Now, divide the quotient (295) by 2:

`295 ÷ 2 = 147 (Quotient) with a remainder of `

**1**

Now, divide the quotient (147) by 2:

`147 ÷ 2 = 73 (Quotient) with a remainder of `

**1**

Now, divide the quotient (73) by 2:

`73 ÷ 2 = 36 (Quotient) with a remainder of `

**1**

Now, divide the quotient (36) by 2:

`36 ÷ 2 = 18 (Quotient) with a remainder of `

**0**

Now, divide the quotient (18) by 2:

`18 ÷ 2 = 9 (Quotient) with a remainder of `

**0**

Now, divide the quotient (9) by 2:

`9 ÷ 2 = 4 (Quotient) with a remainder of `

**1**

Now, divide the quotient (4) by 2:

`4 ÷ 2 = 2 (Quotient) with a remainder of `

**0**

Now, divide the quotient (2) by 2:

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

**0**

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:

`1001001111001`

**4729**is

**1001001111001**.