250 in Binary
250 in binary is 11111010. 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 250 in binary. In this article, let us learn how to convert the decimal number 250 to binary.
How to Convert 250 in Binary?
Step 1: Divide 250 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 |
|---|---|
| 250/2 = 125 | 0 |
| 125/2 = 62 | 1 |
| 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 250.
Therefore, the binary equivalent of decimal number 250 is 11111010.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 250 in the different number systems.
- 250 in Binary: 250₁₀ = 11111010₂
- 250 in Octal: 250₁₀ = 372₈
- 250 in Hexadecimal: 250₁₀ = FA₁₆
- 11111010₂ in Decimal: 250₁₀
Problem Statements:
| What is 250 in Binary? - (Base 2) | (11111010)₂ |
| What is 250 in Hexadecimal? - (Base 16) | (FA)₁₆ |
| What is 250 in Octal? - (Base 8) | (372)₈ |
| Square Root of 250 | 15.811388 |
| Is 250 a Perfect Square? | No |
| Is 250 a Prime Number? | No |
| Cube Root of 250 | 6.299605 |
| Is 250 a Composite Number? | Yes |
| Is 250 a Perfect Cube? | No |
FAQs on 250 in Binary
What is 250 in Binary?
250 in binary is 11111010. To find decimal to binary equivalent, divide 250 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 250 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 250 in binary i.e. 11111010. Therefore, we have used 8 bits to represent 250 in binary.
How to Convert 250 to Binary Equivalent?
We can divide 250 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 250 mod 2 = 0 - LSB (Least Significant Bit)
- 125 mod 2 = 1
- 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 250 in binary can be represented as 11111010.
What is the Binary Equivalent of 250 + 5?
250 in binary number system is 11111010 and 5 is 101. We can add the binary equivalent of 250 and 5 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, (11111010)₂ + (101)₂ = (11111111)₂ which is nothing but 255.
☛ Binary to Decimal Calculator
Find the Value of 1 × 250 in Binary Form.
We know that 250 in binary is 11111010 and 1 is 1. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11111010 × 1 = 11111010 which is 250 in the decimal number system. [250 × 1 = 250]
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