231 in Binary
231 in binary is 11100111. 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 231 in binary. In this article, let us learn how to convert the decimal number 231 to binary.
How to Convert 231 in Binary?
Step 1: Divide 231 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 |
|---|---|
| 231/2 = 115 | 1 |
| 115/2 = 57 | 1 |
| 57/2 = 28 | 1 |
| 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 231.
Therefore, the binary equivalent of decimal number 231 is 11100111.
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Let us have a look at the value of the decimal number 231 in the different number systems.
- 231 in Binary: 231₁₀ = 11100111₂
- 231 in Octal: 231₁₀ = 347₈
- 231 in Hexadecimal: 231₁₀ = E7₁₆
- 11100111₂ in Decimal: 231₁₀
Problem Statements:
| What is 231 in Binary? - (Base 2) | (11100111)₂ |
| What is 231 in Hexadecimal? - (Base 16) | (E7)₁₆ |
| What is 231 in Octal? - (Base 8) | (347)₈ |
| Cube Root of 231 | 6.135792 |
| Is 231 a Perfect Square? | No |
| Is 231 a Prime Number? | No |
| Is 231 a Composite Number? | Yes |
| Is 231 a Perfect Cube? | No |
| Square Root of 231 | 15.198684 |
FAQs on 231 in Binary
What is 231 in Binary?
231 in binary is 11100111. To find decimal to binary equivalent, divide 231 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 231 + 52?
231 in binary number system is 11100111 and 52 is 110100. We can add the binary equivalent of 231 and 52 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, (11100111)₂ + (110100)₂ = (100011011)₂ which is nothing but 283.
☛ Binary to Decimal Calculator
How to Convert 231 to Binary Equivalent?
We can divide 231 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 231 mod 2 = 1 - LSB (Least Significant Bit)
- 115 mod 2 = 1
- 57 mod 2 = 1
- 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 231 in binary can be represented as 11100111.
Find the Value of 5 × 231 in Binary Form.
We know that 231 in binary is 11100111 and 5 is 101. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11100111 × 101 = 10010000011 which is 1155 in the decimal number system. [231 × 5 = 1155]
How Many Bits Does 231 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 231 in binary i.e. 11100111. Therefore, we have used 8 bits to represent 231 in binary.
☛ Also Check:
- 2048 in Binary - 100000000000
- 54 in Binary - 110110
- 5 in Binary - 101
- 22 in Binary - 10110
- 224 in Binary - 11100000
- 65 in Binary - 1000001
- 36 in Binary - 100100