225 in Binary
225 in binary is 11100001. 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 225 in binary. In this article, let us learn how to convert the decimal number 225 to binary.
How to Convert 225 in Binary?
Step 1: Divide 225 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 |
|---|---|
| 225/2 = 112 | 1 |
| 112/2 = 56 | 0 |
| 56/2 = 28 | 0 |
| 28/2 = 14 | 0 |
| 14/2 = 7 | 0 |
| 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 225.
Therefore, the binary equivalent of decimal number 225 is 11100001.
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Let us have a look at the value of the decimal number 225 in the different number systems.
- 225 in Binary: 225₁₀ = 11100001₂
- 225 in Octal: 225₁₀ = 341₈
- 225 in Hexadecimal: 225₁₀ = E1₁₆
- 11100001₂ in Decimal: 225₁₀
Problem Statements:
| What is 225 in Binary? - (Base 2) | (11100001)₂ |
| What is 225 in Hexadecimal? - (Base 16) | (E1)₁₆ |
| What is 225 in Octal? - (Base 8) | (341)₈ |
| Is 225 a Perfect Square? | Yes |
| Cube Root of 225 | 6.082202 |
| Is 225 a Composite Number? | Yes |
| Square Root of 225 | 15 |
| Is 225 a Prime Number? | No |
| Is 225 a Perfect Cube? | No |
FAQs on 225 in Binary
What is 225 in Binary?
225 in binary is 11100001. To find decimal to binary equivalent, divide 225 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 to Convert 225 to Binary Equivalent?
We can divide 225 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 225 mod 2 = 1 - LSB (Least Significant Bit)
- 112 mod 2 = 0
- 56 mod 2 = 0
- 28 mod 2 = 0
- 14 mod 2 = 0
- 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 225 in binary can be represented as 11100001.
Find the Value of 3 × 225 in Binary Form.
We know that 225 in binary is 11100001 and 3 is 11. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11100001 × 11 = 1010100011 which is 675 in the decimal number system. [225 × 3 = 675]
What is the Binary Equivalent of 225 + 30?
225 in binary number system is 11100001 and 30 is 11110. We can add the binary equivalent of 225 and 30 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, (11100001)₂ + (11110)₂ = (11111111)₂ which is nothing but 255.
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How Many Bits Does 225 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 225 in binary i.e. 11100001. Therefore, we have used 8 bits to represent 225 in binary.
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