27 in binary is 11011. 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 5 bits to represent 27 in binary. In this article, let us learn how to convert the decimal number 27 to binary.
How to Convert 27 in Binary?
Step 1: Divide 27 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 |
|---|---|
| 27/2 = 13 | 1 |
| 13/2 = 6 | 1 |
| 6/2 = 3 | 0 |
| 3/2 = 1 | 1 |
| 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 27.
Therefore, the binary equivalent of decimal number 27 is 11011.
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Let us have a look at the value of the decimal number 27 in the different number systems.
- 27 in Binary: 27₁₀ = 11011₂
- 27 in Octal: 27₁₀ = 33₈
- 27 in Hexadecimal: 27₁₀ = 1B₁₆
- 11011₂ in Decimal: 27₁₀
Problem Statements:
| What is 27 in Binary? - (Base 2) | (11011)₂ |
| What is 27 in Hexadecimal? - (Base 16) | (1B)₁₆ |
| What is 27 in Octal? - (Base 8) | (33)₈ |
| Cube Root of 27 | 3 |
| Square Root of 27 | 5.196152 |
| Is 27 a Prime Number? | No |
| Is 27 a Perfect Cube? | Yes |
| Is 27 a Perfect Square? | No |
| Is 27 a Composite Number? | Yes |
FAQs on 27 in Binary
What is 27 in Binary?
27 in binary is 11011. To find decimal to binary equivalent, divide 27 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 27 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 27 in binary i.e. 11011. Therefore, we have used 5 bits to represent 27 in binary.
What is the Binary Equivalent of 27 + 49?
27 in binary number system is 11011 and 49 is 110001. We can add the binary equivalent of 27 and 49 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, (11011)₂ + (110001)₂ = (1001100)₂ which is nothing but 76.
☛ Binary to Decimal Calculator
How to Convert 27 to Binary Equivalent?
We can divide 27 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 27 mod 2 = 1 - LSB (Least Significant Bit)
- 13 mod 2 = 1
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 27 in binary can be represented as 11011.
Find the Value of 6 × 27 in Binary Form.
We know that 27 in binary is 11011 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11011 × 110 = 10100010 which is 162 in the decimal number system. [27 × 6 = 162]
☛ Also Check:
- 175 in Binary - 10101111
- 77 in Binary - 1001101
- 62 in Binary - 111110
- 65 in Binary - 1000001
- 39 in Binary - 100111
- 240 in Binary - 11110000
- 83 in Binary - 1010011
