131 in Binary
131 in binary is 10000011. 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 131 in binary. In this article, let us learn how to convert the decimal number 131 to binary.
How to Convert 131 in Binary?
Step 1: Divide 131 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 |
|---|---|
| 131/2 = 65 | 1 |
| 65/2 = 32 | 1 |
| 32/2 = 16 | 0 |
| 16/2 = 8 | 0 |
| 8/2 = 4 | 0 |
| 4/2 = 2 | 0 |
| 2/2 = 1 | 0 |
| 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 131.
Therefore, the binary equivalent of decimal number 131 is 10000011.
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Let us have a look at the value of the decimal number 131 in the different number systems.
- 131 in Binary: 131₁₀ = 10000011₂
- 131 in Octal: 131₁₀ = 203₈
- 131 in Hexadecimal: 131₁₀ = 83₁₆
- 10000011₂ in Decimal: 131₁₀
Problem Statements:
| What is 131 in Binary? - (Base 2) | (10000011)₂ |
| What is 131 in Hexadecimal? - (Base 16) | (83)₁₆ |
| What is 131 in Octal? - (Base 8) | (203)₈ |
| Is 131 a Perfect Cube? | No |
| Is 131 a Perfect Square? | No |
| Is 131 a Composite Number? | No |
| Is 131 a Prime Number? | Yes |
| Square Root of 131 | 11.445523 |
| Cube Root of 131 | 5.078753 |
FAQs on 131 in Binary
What is 131 in Binary?
131 in binary is 10000011. To find decimal to binary equivalent, divide 131 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 131 to Binary Equivalent?
We can divide 131 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 131 mod 2 = 1 - LSB (Least Significant Bit)
- 65 mod 2 = 1
- 32 mod 2 = 0
- 16 mod 2 = 0
- 8 mod 2 = 0
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 131 in binary can be represented as 10000011.
What is the Binary Equivalent of 131 + 95?
131 in binary number system is 10000011 and 95 is 1011111. We can add the binary equivalent of 131 and 95 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, (10000011)₂ + (1011111)₂ = (11100010)₂ which is nothing but 226.
☛ Binary to Decimal Calculator
How Many Bits Does 131 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 131 in binary i.e. 10000011. Therefore, we have used 8 bits to represent 131 in binary.
Find the Value of 3 × 131 in Binary Form.
We know that 131 in binary is 10000011 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 10000011 × 11 = 110001001 which is 393 in the decimal number system. [131 × 3 = 393]
☛ Also Check:
- 75 in Binary - 1001011
- 200 in Binary - 11001000
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- 247 in Binary - 11110111
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- 162 in Binary - 10100010
- 15 in Binary - 1111