9 in Binary
9 in binary is 1001. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 4 bits to represent 9 in binary. In this article, let us learn how to convert the decimal number 9 to binary.
How to Convert 9 in Binary?
Step 1: Divide 9 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.
| Dividend | Remainder |
|---|---|
| 9/2 = 4 | 1 |
| 4/2 = 2 | 0 |
| 2/2 = 1 | 0 |
| 1/2 = 0 | 1 |
Step 2: Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 9.
Therefore, the binary equivalent of decimal number 9 is 1001.
Let us have a look at the value of the decimal number 9 in the different number systems.
- 9 in Binary: 9₁₀ = 1001₂
- 9 in Octal: 9₁₀ = 11₈
- 9 in Hexadecimal: 9₁₀ = 9₁₆
- 1001₂ in Decimal: 9₁₀
Problem Statements:
| What is 9 in Binary? - (Base 2) | (1001)₂ |
| What is 9 in Hexadecimal? - (Base 16) | (9)₁₆ |
| What is 9 in Octal? - (Base 8) | (11)₈ |
| Is 9 a Prime Number? | No |
| Is 9 a Perfect Cube? | No |
| Is 9 a Composite Number? | Yes |
| Square Root of 9 | 3 |
| Is 9 a Perfect Square? | Yes |
| Cube Root of 9 | 2.080084 |
☛Related Topics
- Binary to Decimal
- Decimal to Binary Calculator
- Binary to Decimal Calculator
- 111 in Binary - 1101111
- 216 in Binary - 11011000
- 18 in Binary - 10010
- 145 in Binary - 10010001
- 95 in Binary - 1011111
- 2 in Binary - 10
- 100 in Binary - 1100100
FAQs on 9 in Binary
What is 9 in Binary?
9 in binary is 1001. To find decimal to binary equivalent, divide 9 successively by 2 until the quotient becomes 0. The binary equivalent can be obtained by writing the remainder in each division step from the bottom to the top.
How Many Bits Does 9 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 9 in binary i.e. 1001. Therefore, we have used 4 bits to represent 9 in binary.
What is the Binary Equivalent of 9 + 57?
9 in binary number system is 1001 and 57 is 111001. We can add the binary equivalent of 9 and 57 using binary addition rules [0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 note that 1 is a carry over to the next bit]. Therefore, (1001)₂ + (111001)₂ = (1000010)₂ which is nothing but 66.
Find the Value of 10 × 9 in Binary Form.
We know that 9 in binary is 1001 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1001 × 1010 = 1011010 which is 90 in the decimal number system. [9 × 10 = 90]
How to Convert 9 to Binary Equivalent?
We can divide 9 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 9 mod 2 = 1 - LSB (Least Significant Bit)
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 9 in binary can be represented as 1001.