55 in Binary
55 in binary is 110111. 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 6 bits to represent 55 in binary. In this article, let us learn how to convert the decimal number 55 to binary.
How to Convert 55 in Binary?
Step 1: Divide 55 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 |
|---|---|
| 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 55.
Therefore, the binary equivalent of decimal number 55 is 110111.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 55 in the different number systems.
- 55 in Binary: 55₁₀ = 110111₂
- 55 in Octal: 55₁₀ = 67₈
- 55 in Hexadecimal: 55₁₀ = 37₁₆
- 110111₂ in Decimal: 55₁₀
Problem Statements:
| What is 55 in Binary? - (Base 2) | (110111)₂ |
| What is 55 in Hexadecimal? - (Base 16) | (37)₁₆ |
| What is 55 in Octal? - (Base 8) | (67)₈ |
| Is 55 a Composite Number? | Yes |
| Is 55 a Prime Number? | No |
| Is 55 a Perfect Square? | No |
| Is 55 a Perfect Cube? | No |
| Cube Root of 55 | 3.802952 |
| Square Root of 55 | 7.416198 |
FAQs on 55 in Binary
What is 55 in Binary?
55 in binary is 110111. To find decimal to binary equivalent, divide 55 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.
What is the Binary Equivalent of 55 + 11?
55 in binary number system is 110111 and 11 is 1011. We can add the binary equivalent of 55 and 11 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, (110111)₂ + (1011)₂ = (1000010)₂ which is nothing but 66.
☛ Binary to Decimal Calculator
Find the Value of 8 × 55 in Binary Form.
We know that 55 in binary is 110111 and 8 is 1000. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 110111 × 1000 = 110111000 which is 440 in the decimal number system. [55 × 8 = 440]
How to Convert 55 to Binary Equivalent?
We can divide 55 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 55 mod 2 = 1 - LSB (Least Significant Bit)
- 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 55 in binary can be represented as 110111.
How Many Bits Does 55 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 55 in binary, i.e., 110111. Therefore, we have used 6 bits to represent 55 in binary.
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