216 in Binary
216 in binary is 11011000. 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 216 in binary. In this article, let us learn how to convert the decimal number 216 to binary.
How to Convert 216 in Binary?
Step 1: Divide 216 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 |
|---|---|
| 216/2 = 108 | 0 |
| 108/2 = 54 | 0 |
| 54/2 = 27 | 0 |
| 27/2 = 13 | 1 |
| 13/2 = 6 | 1 |
| 6/2 = 3 | 0 |
| 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 216.
Therefore, the binary equivalent of decimal number 216 is 11011000.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 216 in the different number systems.
- 216 in Binary: 216₁₀ = 11011000₂
- 216 in Octal: 216₁₀ = 330₈
- 216 in Hexadecimal: 216₁₀ = D8₁₆
- 11011000₂ in Decimal: 216₁₀
Problem Statements:
| What is 216 in Binary? - (Base 2) | (11011000)₂ |
| What is 216 in Hexadecimal? - (Base 16) | (D8)₁₆ |
| What is 216 in Octal? - (Base 8) | (330)₈ |
| Is 216 a Composite Number? | Yes |
| Is 216 a Perfect Square? | No |
| Is 216 a Prime Number? | No |
| Cube Root of 216 | 6.0 |
| Is 216 a Perfect Cube? | No |
| Square Root of 216 | 14.696938 |
FAQs on 216 in Binary
What is 216 in Binary?
216 in binary is 11011000. To find decimal to binary equivalent, divide 216 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 6 × 216 in Binary Form.
We know that 216 in binary is 11011000 and 6 is 110. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11011000 × 110 = 10100010000 which is 1296 in the decimal number system. [216 × 6 = 1296]
What is the Binary Equivalent of 216 + 23?
216 in binary number system is 11011000 and 23 is 10111. We can add the binary equivalent of 216 and 23 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, (11011000)₂ + (10111)₂ = (11101111)₂ which is nothing but 239.
☛ Binary to Decimal Calculator
How Many Bits Does 216 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 216 in binary i.e. 11011000. Therefore, we have used 8 bits to represent 216 in binary.
How to Convert 216 to Binary Equivalent?
We can divide 216 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 216 mod 2 = 0 - LSB (Least Significant Bit)
- 108 mod 2 = 0
- 54 mod 2 = 0
- 27 mod 2 = 1
- 13 mod 2 = 1
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 216 in binary can be represented as 11011000.
☛ Also Check:
- 61 in Binary - 111101
- 247 in Binary - 11110111
- 249 in Binary - 11111001
- 168 in Binary - 10101000
- 225 in Binary - 11100001
- 1010 in Binary - 1111110010
- 188 in Binary - 10111100