242 in Binary
242 in binary is 11110010. 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 242 in binary. In this article, let us learn how to convert the decimal number 242 to binary.
How to Convert 242 in Binary?
Step 1: Divide 242 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 |
|---|---|
| 242/2 = 121 | 0 |
| 121/2 = 60 | 1 |
| 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 242.
Therefore, the binary equivalent of decimal number 242 is 11110010.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 242 in the different number systems.
- 242 in Binary: 242₁₀ = 11110010₂
- 242 in Octal: 242₁₀ = 362₈
- 242 in Hexadecimal: 242₁₀ = F2₁₆
- 11110010₂ in Decimal: 242₁₀
Problem Statements:
| What is 242 in Binary? - (Base 2) | (11110010)₂ |
| What is 242 in Hexadecimal? - (Base 16) | (F2)₁₆ |
| What is 242 in Octal? - (Base 8) | (362)₈ |
| Is 242 a Composite Number? | Yes |
| Is 242 a Perfect Square? | No |
| Cube Root of 242 | 6.23168 |
| Is 242 a Perfect Cube? | No |
| Square Root of 242 | 15.556349 |
| Is 242 a Prime Number? | No |
FAQs on 242 in Binary
What is 242 in Binary?
242 in binary is 11110010. To find decimal to binary equivalent, divide 242 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 9 × 242 in Binary Form.
We know that 242 in binary is 11110010 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 11110010 × 1001 = 100010000010 which is 2178 in the decimal number system. [242 × 9 = 2178]
What is the Binary Equivalent of 242 + 87?
242 in binary number system is 11110010 and 87 is 1010111. We can add the binary equivalent of 242 and 87 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, (11110010)₂ + (1010111)₂ = (101001001)₂ which is nothing but 329.
☛ Binary to Decimal Calculator
How to Convert 242 to Binary Equivalent?
We can divide 242 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 242 mod 2 = 0 - LSB (Least Significant Bit)
- 121 mod 2 = 1
- 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 242 in binary can be represented as 11110010.
How Many Bits Does 242 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 242 in binary i.e. 11110010. Therefore, we have used 8 bits to represent 242 in binary.
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