11 in Binary
11 in binary is 1011. 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 11 in binary. In this article, we will show how to convert the decimal number 11 to binary.
- 11 in Binary: 11₁₀ = 1011₂
- 11 in Octal: 11₁₀ = 13₈
- 11 in Hexadecimal: 11₁₀ = B₁₆
- 1011₂ in Decimal: 11₁₀
How to Convert 11 in Binary?
Step 1: Divide 11 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 |
|---|---|
| 11/2 = 5 | 1 |
| 5/2 = 2 | 1 |
| 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 11.
Therefore, the binary equivalent of decimal number 11 is 1011.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 11 in Binary? - (Base 2) | (1011)₂ |
| What is 11 in Hexadecimal? - (Base 16) | (B)₁₆ |
| What is 11 in Octal? - (Base 8) | (13)₈ |
| Is 11 a Perfect Cube? | No |
| Cube Root of 11 | 2.22398 |
| Is 11 a Prime Number? | Yes |
| Square Root of 11 | 3.316625 |
| Is 11 a Composite Number? | No |
| Is 11 a Perfect Square? | No |
FAQs on 11 in Binary
What is 11 in Binary?
11 in binary is 1011. To find decimal to binary equivalent, divide 11 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 11 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 11 in binary i.e. 1011. Therefore, we have used 4 bits to represent 11 in binary.
Find the Value of 4 × 11 in Binary Form.
We know that 11 in binary is 1011 and 4 is 100. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1011 × 100 = 101100 which is 44 in the decimal number system. [11 × 4 = 44]
How to Convert 11 to Binary Equivalent?
We can divide 11 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 11 mod 2 = 1 - LSB (Least Significant Bit)
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 11 in binary can be represented as 1011.
What is the Binary Equivalent of 11 + 20?
11 in binary number system is 1011 and 20 is 10100. We can add the binary equivalent of 11 and 20 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, (1011)₂ + (10100)₂ = (11111)₂ which is nothing but 31.
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