1024 in Binary
1024 in binary is 10000000000. 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 11 bits to represent 1024 in binary. In this article, we will show how to convert the decimal number 1024 to binary.
- 1024 in Binary: 1024₁₀ = 10000000000₂
- 1024 in Octal: 1024₁₀ = 2000₈
- 1024 in Hexadecimal: 1024₁₀ = 400₁₆
- 10000000000₂ in Decimal: 1024₁₀
How to Convert 1024 in Binary?
Step 1: Divide 1024 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 |
|---|---|
| 1024/2 = 512 | 0 |
| 512/2 = 256 | 0 |
| 256/2 = 128 | 0 |
| 128/2 = 64 | 0 |
| 64/2 = 32 | 0 |
| 32/2 = 16 | 0 |
| 16/2 = 8 | 0 |
| 8/2 = 4 | 0 |
| 4/2 = 2 | 0 |
| 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 1024.
Therefore, the binary equivalent of decimal number 1024 is 10000000000.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 1024 in Binary? - (Base 2) | (10000000000)₂ |
| What is 1024 in Hexadecimal? - (Base 16) | (400)₁₆ |
| What is 1024 in Octal? - (Base 8) | (2000)₈ |
| Square Root of 1024 | 32 |
| Is 1024 a Perfect Square? | Yes |
| Cube Root of 1024 | 10.079368 |
| Is 1024 a Prime Number? | No |
| Is 1024 a Composite Number? | Yes |
| Is 1024 a Perfect Cube? | No |
FAQs on 1024 in Binary
What is 1024 in Binary?
1024 in binary is 10000000000. To find decimal to binary equivalent, divide 1024 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 × 1024 in Binary Form.
We know that 1024 in binary is 10000000000 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 10000000000 × 1010 = 10100000000000 which is 10240 in the decimal number system. [1024 × 10 = 10240]
How Many Bits Does 1024 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 1024 in binary i.e. 10000000000. Therefore, we have used 11 bits to represent 1024 in binary.
How to Convert 1024 to Binary Equivalent?
We can divide 1024 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 1024 mod 2 = 0 - LSB (Least Significant Bit)
- 512 mod 2 = 0
- 256 mod 2 = 0
- 128 mod 2 = 0
- 64 mod 2 = 0
- 32 mod 2 = 0
- 16 mod 2 = 0
- 8 mod 2 = 0
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 1024 in binary can be represented as 10000000000.
What is the Binary Equivalent of 1024 + 87?
1024 in binary number system is 10000000000 and 87 is 1010111. We can add the binary equivalent of 1024 and 87 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, (10000000000)₂ + (1010111)₂ = (10001010111)₂ which is nothing but 1111.
☛ Also Check:
- 87 in Binary - 1010111
- 73 in Binary - 1001001
- 215 in Binary - 11010111
- 143 in Binary - 10001111
- 2020 in Binary - 11111100100
- 151 in Binary - 10010111
- 192 in Binary - 11000000