240 in Binary
240 in binary is 11110000. 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 240 in binary. In this article, let us learn how to convert the decimal number 240 to binary.
How to Convert 240 in Binary?
Step 1: Divide 240 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 |
|---|---|
| 240/2 = 120 | 0 |
| 120/2 = 60 | 0 |
| 60/2 = 30 | 0 |
| 30/2 = 15 | 0 |
| 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 240.
Therefore, the binary equivalent of decimal number 240 is 11110000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 240 in the different number systems.
- 240 in Binary: 240₁₀ = 11110000₂
- 240 in Octal: 240₁₀ = 360₈
- 240 in Hexadecimal: 240₁₀ = F0₁₆
- 11110000₂ in Decimal: 240₁₀
Problem Statements:
| What is 240 in Binary? - (Base 2) | (11110000)₂ |
| What is 240 in Hexadecimal? - (Base 16) | (F0)₁₆ |
| What is 240 in Octal? - (Base 8) | (360)₈ |
| Is 240 a Perfect Cube? | No |
| Is 240 a Composite Number? | Yes |
| Is 240 a Prime Number? | No |
| Is 240 a Perfect Square? | No |
| Cube Root of 240 | 6.214465 |
| Square Root of 240 | 15.491933 |
FAQs on 240 in Binary
What is 240 in Binary?
240 in binary is 11110000. To find decimal to binary equivalent, divide 240 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 Many Bits Does 240 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 240 in binary i.e. 11110000. Therefore, we have used 8 bits to represent 240 in binary.
How to Convert 240 to Binary Equivalent?
We can divide 240 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 240 mod 2 = 0 - LSB (Least Significant Bit)
- 120 mod 2 = 0
- 60 mod 2 = 0
- 30 mod 2 = 0
- 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 240 in binary can be represented as 11110000.
Find the Value of 9 × 240 in Binary Form.
We know that 240 in binary is 11110000 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11110000 × 1001 = 100001110000 which is 2160 in the decimal number system. [240 × 9 = 2160]
What is the Binary Equivalent of 240 + 94?
240 in binary number system is 11110000 and 94 is 1011110. We can add the binary equivalent of 240 and 94 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, (11110000)₂ + (1011110)₂ = (101001110)₂ which is nothing but 334.
☛ Also Check:
- 400 in Binary - 110010000
- 23 in Binary - 10111
- 146 in Binary - 10010010
- 17 in Binary - 10001
- 47 in Binary - 101111
- 90 in Binary - 1011010
- 147 in Binary - 10010011