What is the binary number for decimal number 9?

• The decimal number system

• The binary number system

• The octal number system and

• The hexadecimal number system

Binary Number System:

1. A binary number system is one of the four types of number system. 
2. In computer applications, where binary numbers are represented by only two symbols or digits, i.e. 0 (zero) and 1(one). 
3. The binary numbers here are expressed in the base-2 numeral system. 
4. For example, (101)2 is a binary number. Each digit in this system is said to be a bit.

Here we will show you step-by-step how to convert the decimal number 9 to binary.

Step 1) Divide 9 by 2 to get the Quotient. Keep the Whole part for the next step and set the Remainder aside.
Step 2) Divide the Whole part of the Quotient from Step 1 by 2. Again, keep the Whole part and set the Remainder aside.
Step 3) Repeat Step 2 above until the Whole part is 0.
Step 4) Write down the Remainders in reverse order to get the answer to 9 as a binary.

Important Points

Here we will show our work so you can follow along:
 

Therefore, Binary equivalent of decimal number 9 is 1001.