213 in Binary
213 in binary is 11010101. 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 213 in binary. In this article, let us learn how to convert the decimal number 213 to binary.
How to Convert 213 in Binary?
Step 1: Divide 213 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 |
|---|---|
| 213/2 = 106 | 1 |
| 106/2 = 53 | 0 |
| 53/2 = 26 | 1 |
| 26/2 = 13 | 0 |
| 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 213.
Therefore, the binary equivalent of decimal number 213 is 11010101.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 213 in the different number systems.
- 213 in Binary: 213₁₀ = 11010101₂
- 213 in Octal: 213₁₀ = 325₈
- 213 in Hexadecimal: 213₁₀ = D5₁₆
- 11010101₂ in Decimal: 213₁₀
Problem Statements:
| What is 213 in Binary? - (Base 2) | (11010101)₂ |
| What is 213 in Hexadecimal? - (Base 16) | (D5)₁₆ |
| What is 213 in Octal? - (Base 8) | (325)₈ |
| Is 213 a Perfect Square? | No |
| Is 213 a Composite Number? | Yes |
| Square Root of 213 | 14.59452 |
| Cube Root of 213 | 5.972093 |
| Is 213 a Prime Number? | No |
| Is 213 a Perfect Cube? | No |
FAQs on 213 in Binary
What is 213 in Binary?
213 in binary is 11010101. To find decimal to binary equivalent, divide 213 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 213 to Binary Equivalent?
We can divide 213 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 213 mod 2 = 1 - LSB (Least Significant Bit)
- 106 mod 2 = 0
- 53 mod 2 = 1
- 26 mod 2 = 0
- 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 213 in binary can be represented as 11010101.
Find the Value of 1 × 213 in Binary Form.
We know that 213 in binary is 11010101 and 1 is 1. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11010101 × 1 = 11010101 which is 213 in the decimal number system. [213 × 1 = 213]
How Many Bits Does 213 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 213 in binary i.e. 11010101. Therefore, we have used 8 bits to represent 213 in binary.
What is the Binary Equivalent of 213 + 4?
213 in binary number system is 11010101 and 4 is 100. We can add the binary equivalent of 213 and 4 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, (11010101)₂ + (100)₂ = (11011001)₂ which is nothing but 217.
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