255 in binary is 11111111. 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 8 bits to represent 255 in binary. In this article, let us learn how to convert the decimal number 255 to binary.
How to Convert 255 in Binary?
Step 1: Divide 255 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 |
|---|---|
| 255/2 = 127 | 1 |
| 127/2 = 63 | 1 |
| 63/2 = 31 | 1 |
| 31/2 = 15 | 1 |
| 15/2 = 7 | 1 |
| 7/2 = 3 | 1 |
| 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 255.
Therefore, the binary equivalent of decimal number 255 is 11111111.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 255 in the different number systems.
- 255 in Binary: 255₁₀ = 11111111₂
- 255 in Octal: 255₁₀ = 377₈
- 255 in Hexadecimal: 255₁₀ = FF₁₆
- 11111111₂ in Decimal: 255₁₀
Problem Statements:
| What is 255 in Binary? - (Base 2) | (11111111)₂ |
| What is 255 in Hexadecimal? - (Base 16) | (FF)₁₆ |
| What is 255 in Octal? - (Base 8) | (377)₈ |
| Is 255 a Prime Number? | No |
| Is 255 a Perfect Cube? | No |
| Is 255 a Composite Number? | Yes |
| Is 255 a Perfect Square? | No |
| Cube Root of 255 | 6.341326 |
| Square Root of 255 | 15.968719 |
FAQs on 255 in Binary
What is 255 in Binary?
255 in binary is 11111111. To find decimal to binary equivalent, divide 255 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.
Find the Value of 9 × 255 in Binary Form.
We know that 255 in binary is 11111111 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11111111 × 1001 = 100011110111 which is 2295 in the decimal number system. [255 × 9 = 2295]
How Many Bits Does 255 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 255 in binary i.e. 11111111. Therefore, we have used 8 bits to represent 255 in binary.
What is the Binary Equivalent of 255 + 29?
255 in binary number system is 11111111 and 29 is 11101. We can add the binary equivalent of 255 and 29 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, (11111111)₂ + (11101)₂ = (100011100)₂ which is nothing but 284.
☛ Binary to Decimal Calculator
How to Convert 255 to Binary Equivalent?
We can divide 255 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 255 mod 2 = 1 - LSB (Least Significant Bit)
- 127 mod 2 = 1
- 63 mod 2 = 1
- 31 mod 2 = 1
- 15 mod 2 = 1
- 7 mod 2 = 1
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 255 in binary can be represented as 11111111.
☛ Also Check:
- 32 in Binary - 100000
- 1001 in Binary - 1111101001
- 51 in Binary - 110011
- 69 in Binary - 1000101
- 110 in Binary - 1101110
- 70 in Binary - 1000110
- 155 in Binary - 10011011
