221 in Binary
221 in binary is 11011101. 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 221 in binary. In this article, let us learn how to convert the decimal number 221 to binary.
How to Convert 221 in Binary?
Step 1: Divide 221 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 |
|---|---|
| 221/2 = 110 | 1 |
| 110/2 = 55 | 0 |
| 55/2 = 27 | 1 |
| 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 221.
Therefore, the binary equivalent of decimal number 221 is 11011101.
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Let us have a look at the value of the decimal number 221 in the different number systems.
- 221 in Binary: 221₁₀ = 11011101₂
- 221 in Octal: 221₁₀ = 335₈
- 221 in Hexadecimal: 221₁₀ = DD₁₆
- 11011101₂ in Decimal: 221₁₀
Problem Statements:
| What is 221 in Binary? - (Base 2) | (11011101)₂ |
| What is 221 in Hexadecimal? - (Base 16) | (DD)₁₆ |
| What is 221 in Octal? - (Base 8) | (335)₈ |
| Is 221 a Prime Number? | No |
| Square Root of 221 | 14.866069 |
| Is 221 a Perfect Square? | No |
| Cube Root of 221 | 6.045944 |
| Is 221 a Composite Number? | Yes |
| Is 221 a Perfect Cube? | No |
FAQs on 221 in Binary
What is 221 in Binary?
221 in binary is 11011101. To find decimal to binary equivalent, divide 221 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 221 to Binary Equivalent?
We can divide 221 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 221 mod 2 = 1 - LSB (Least Significant Bit)
- 110 mod 2 = 0
- 55 mod 2 = 1
- 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 221 in binary can be represented as 11011101.
What is the Binary Equivalent of 221 + 50?
221 in binary number system is 11011101 and 50 is 110010. We can add the binary equivalent of 221 and 50 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, (11011101)₂ + (110010)₂ = (100001111)₂ which is nothing but 271.
☛ Binary to Decimal Calculator
How Many Bits Does 221 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 221 in binary i.e. 11011101. Therefore, we have used 8 bits to represent 221 in binary.
Find the Value of 10 × 221 in Binary Form.
We know that 221 in binary is 11011101 and 10 is 1010. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11011101 × 1010 = 100010100010 which is 2210 in the decimal number system. [221 × 10 = 2210]
☛ Also Check:
- 420 in Binary - 110100100
- 200 in Binary - 11001000
- 240 in Binary - 11110000
- 88 in Binary - 1011000
- 400 in Binary - 110010000
- 511 in Binary - 111111111
- 113 in Binary - 1110001