1010 in Binary
1010 in binary is 1111110010. 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 10 bits to represent 1010 in binary. In this article, we will show how to convert the decimal number 1010 to binary.
- 1010 in Binary: 1010₁₀ = 1111110010₂
- 1010 in Octal: 1010₁₀ = 1762₈
- 1010 in Hexadecimal: 1010₁₀ = 3F2₁₆
- 1111110010₂ in Decimal: 1010₁₀
How to Convert 1010 in Binary?
Step 1: Divide 1010 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 |
|---|---|
| 1010/2 = 505 | 0 |
| 505/2 = 252 | 1 |
| 252/2 = 126 | 0 |
| 126/2 = 63 | 0 |
| 63/2 = 31 | 1 |
| 31/2 = 15 | 1 |
| 15/2 = 7 | 1 |
| 7/2 = 3 | 1 |
| 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 1010.
Therefore, the binary equivalent of decimal number 1010 is 1111110010.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 1010 in Binary? - (Base 2) | (1111110010)₂ |
| What is 1010 in Hexadecimal? - (Base 16) | (3F2)₁₆ |
| What is 1010 in Octal? - (Base 8) | (1762)₈ |
| Is 1010 a Perfect Square? | No |
| Cube Root of 1010 | 10.033223 |
| Is 1010 a Composite Number? | Yes |
| Square Root of 1010 | 31.780497 |
| Is 1010 a Prime Number? | No |
| Is 1010 a Perfect Cube? | No |
FAQs on 1010 in Binary
What is 1010 in Binary?
1010 in binary is 1111110010. To find decimal to binary equivalent, divide 1010 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 1010 + 29?
1010 in binary number system is 1111110010 and 29 is 11101. We can add the binary equivalent of 1010 and 29 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, (1111110010)₂ + (11101)₂ = (10000001111)₂ which is nothing but 1039.
☛ Binary to Decimal Calculator
Find the Value of 2 × 1010 in Binary Form.
We know that 1010 in binary is 1111110010 and 2 is 10. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111110010 × 10 = 11111100100 which is 2020 in the decimal number system. [1010 × 2 = 2020]
How Many Bits Does 1010 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 1010 in binary i.e. 1111110010. Therefore, we have used 10 bits to represent 1010 in binary.
How to Convert 1010 to Binary Equivalent?
We can divide 1010 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 1010 mod 2 = 0 - LSB (Least Significant Bit)
- 505 mod 2 = 1
- 252 mod 2 = 0
- 126 mod 2 = 0
- 63 mod 2 = 1
- 31 mod 2 = 1
- 15 mod 2 = 1
- 7 mod 2 = 1
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 1010 in binary can be represented as 1111110010.
☛ Also Check:
- 256 in Binary - 100000000
- 16 in Binary - 10000
- 110 in Binary - 1101110
- 26 in Binary - 11010
- 420 in Binary - 110100100
- 74 in Binary - 1001010
- 60 in Binary - 111100