500 in Binary
500 in binary is 111110100. 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 9 bits to represent 500 in binary. In this article, let us learn how to convert the decimal number 500 to binary.
How to Convert 500 in Binary?
Step 1: Divide 500 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 |
|---|---|
| 500/2 = 250 | 0 |
| 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 500.
Therefore, the binary equivalent of decimal number 500 is 111110100.
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Let us have a look at the value of the decimal number 500 in the different number systems.
- 500 in Binary: 500₁₀ = 111110100₂
- 500 in Octal: 500₁₀ = 764₈
- 500 in Hexadecimal: 500₁₀ = 1F4₁₆
- 111110100₂ in Decimal: 500₁₀
Problem Statements:
| What is 500 in Binary? - (Base 2) | (111110100)₂ |
| What is 500 in Hexadecimal? - (Base 16) | (1F4)₁₆ |
| What is 500 in Octal? - (Base 8) | (764)₈ |
| Cube Root of 500 | 7.937005 |
| Is 500 a Composite Number? | Yes |
| Square Root of 500 | 22.36068 |
| Is 500 a Prime Number? | No |
| Is 500 a Perfect Square? | No |
| Is 500 a Perfect Cube? | No |
FAQs on 500 in Binary
What is 500 in Binary?
500 in binary is 111110100. To find decimal to binary equivalent, divide 500 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 500 to Binary Equivalent?
We can divide 500 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 500 mod 2 = 0 - LSB (Least Significant Bit)
- 250 mod 2 = 0
- 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 500 in binary can be represented as 111110100.
Find the Value of 2 × 500 in Binary Form.
We know that 500 in binary is 111110100 and 2 is 10. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 111110100 × 10 = 1111101000 which is 1000 in the decimal number system. [500 × 2 = 1000]
What is the Binary Equivalent of 500 + 50?
500 in binary number system is 111110100 and 50 is 110010. We can add the binary equivalent of 500 and 50 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, (111110100)₂ + (110010)₂ = (1000100110)₂ which is nothing but 550.
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How Many Bits Does 500 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 500 in binary i.e. 111110100. Therefore, we have used 9 bits to represent 500 in binary.
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