249 in Binary
249 in binary is 11111001. 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 249 in binary. In this article, let us learn how to convert the decimal number 249 to binary.
How to Convert 249 in Binary?
Step 1: Divide 249 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 |
|---|---|
| 249/2 = 124 | 1 |
| 124/2 = 62 | 0 |
| 62/2 = 31 | 0 |
| 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 249.
Therefore, the binary equivalent of decimal number 249 is 11111001.
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Let us have a look at the value of the decimal number 249 in the different number systems.
- 249 in Binary: 249₁₀ = 11111001₂
- 249 in Octal: 249₁₀ = 371₈
- 249 in Hexadecimal: 249₁₀ = F9₁₆
- 11111001₂ in Decimal: 249₁₀
Problem Statements:
| What is 249 in Binary? - (Base 2) | (11111001)₂ |
| What is 249 in Hexadecimal? - (Base 16) | (F9)₁₆ |
| What is 249 in Octal? - (Base 8) | (371)₈ |
| Is 249 a Perfect Square? | No |
| Is 249 a Prime Number? | No |
| Square Root of 249 | 15.779734 |
| Cube Root of 249 | 6.291195 |
| Is 249 a Perfect Cube? | No |
| Is 249 a Composite Number? | Yes |
FAQs on 249 in Binary
What is 249 in Binary?
249 in binary is 11111001. To find decimal to binary equivalent, divide 249 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.
What is the Binary Equivalent of 249 + 94?
249 in binary number system is 11111001 and 94 is 1011110. We can add the binary equivalent of 249 and 94 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, (11111001)₂ + (1011110)₂ = (101010111)₂ which is nothing but 343.
☛ Binary to Decimal Calculator
How Many Bits Does 249 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 249 in binary i.e. 11111001. Therefore, we have used 8 bits to represent 249 in binary.
How to Convert 249 to Binary Equivalent?
We can divide 249 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 249 mod 2 = 1 - LSB (Least Significant Bit)
- 124 mod 2 = 0
- 62 mod 2 = 0
- 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 249 in binary can be represented as 11111001.
Find the Value of 9 × 249 in Binary Form.
We know that 249 in binary is 11111001 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 11111001 × 1001 = 100011000001 which is 2241 in the decimal number system. [249 × 9 = 2241]
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