10 in Binary
10 in binary is 1010. 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 4 bits to represent 10 in binary. In this article, we will show how to convert the decimal number 10 to binary.
- 10 in Binary: 10₁₀ = 1010₂
- 10 in Octal: 10₁₀ = 12₈
- 10 in Hexadecimal: 10₁₀ = A₁₆
- 1010₂ in Decimal: 10₁₀
How to Convert 10 in Binary?
Step 1: Divide 10 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 |
|---|---|
| 10/2 = 5 | 0 |
| 5/2 = 2 | 1 |
| 2/2 = 1 | 0 |
| 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 10.
Therefore, the binary equivalent of decimal number 10 is 1010.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 10 in Binary? - (Base 2) | (1010)₂ |
| What is 10 in Hexadecimal? - (Base 16) | (A)₁₆ |
| What is 10 in Octal? - (Base 8) | (12)₈ |
| Cube Root of 10 | 2.154435 |
| Is 10 a Perfect Square? | No |
| Square Root of 10 | 3.162278 |
| Is 10 a Composite Number? | Yes |
| Is 10 a Prime Number? | No |
| Is 10 a Perfect Cube? | No |
FAQs on 10 in Binary
What is 10 in Binary?
10 in binary is 1010. To find decimal to binary equivalent, divide 10 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 10 × 10 in Binary Form.
We know that 10 in binary is 1010 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 1010 × 1010 = 1100100 which is 100 in the decimal number system. [10 × 10 = 100]
How Many Bits Does 10 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 10 in binary i.e. 1010. Therefore, we have used 4 bits to represent 10 in binary.
How to Convert 10 to Binary Equivalent?
We can divide 10 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 10 mod 2 = 0 - LSB (Least Significant Bit)
- 5 mod 2 = 1
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 10 in binary can be represented as 1010.
What is the Binary Equivalent of 10 + 24?
10 in binary number system is 1010 and 24 is 11000. We can add the binary equivalent of 10 and 24 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, (1010)₂ + (11000)₂ = (100010)₂ which is nothing but 34.
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