300 in Binary
300 in binary is 100101100. 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 300 in binary. In this article, let us learn how to convert the decimal number 300 to binary.
How to Convert 300 in Binary?
Step 1: Divide 300 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 |
|---|---|
| 300/2 = 150 | 0 |
| 150/2 = 75 | 0 |
| 75/2 = 37 | 1 |
| 37/2 = 18 | 1 |
| 18/2 = 9 | 0 |
| 9/2 = 4 | 1 |
| 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 300.
Therefore, the binary equivalent of decimal number 300 is 100101100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 300 in the different number systems.
- 300 in Binary: 300₁₀ = 100101100₂
- 300 in Octal: 300₁₀ = 454₈
- 300 in Hexadecimal: 300₁₀ = 12C₁₆
- 100101100₂ in Decimal: 300₁₀
Problem Statements:
| What is 300 in Binary? - (Base 2) | (100101100)₂ |
| What is 300 in Hexadecimal? - (Base 16) | (12C)₁₆ |
| What is 300 in Octal? - (Base 8) | (454)₈ |
| Is 300 a Prime Number? | No |
| Is 300 a Composite Number? | Yes |
| Square Root of 300 | 17.320508 |
| Is 300 a Perfect Square? | No |
| Cube Root of 300 | 6.69433 |
| Is 300 a Perfect Cube? | No |
FAQs on 300 in Binary
What is 300 in Binary?
300 in binary is 100101100. To find decimal to binary equivalent, divide 300 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.
Find the Value of 3 × 300 in Binary Form.
We know that 300 in binary is 100101100 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 100101100 × 11 = 1110000100 which is 900 in the decimal number system. [300 × 3 = 900]
How to Convert 300 to Binary Equivalent?
We can divide 300 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 300 mod 2 = 0 - LSB (Least Significant Bit)
- 150 mod 2 = 0
- 75 mod 2 = 1
- 37 mod 2 = 1
- 18 mod 2 = 0
- 9 mod 2 = 1
- 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 300 in binary can be represented as 100101100.
What is the Binary Equivalent of 300 + 98?
300 in binary number system is 100101100 and 98 is 1100010. We can add the binary equivalent of 300 and 98 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, (100101100)₂ + (1100010)₂ = (110001110)₂ which is nothing but 398.
☛ Binary to Decimal Calculator
How Many Bits Does 300 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 300 in binary i.e. 100101100. Therefore, we have used 9 bits to represent 300 in binary.
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