1000 in Binary
1000 in binary is 1111101000. 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 1000 in binary. In this article, we will show how to convert the decimal number 1000 to binary.
- 1000 in Binary: 1000₁₀ = 1111101000₂
- 1000 in Octal: 1000₁₀ = 1750₈
- 1000 in Hexadecimal: 1000₁₀ = 3E8₁₆
- 1111101000₂ in Decimal: 1000₁₀
How to Convert 1000 in Binary?
Step 1: Divide 1000 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 |
|---|---|
| 1000/2 = 500 | 0 |
| 500/2 = 250 | 0 |
| 250/2 = 125 | 0 |
| 125/2 = 62 | 1 |
| 62/2 = 31 | 0 |
| 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 1000.
Therefore, the binary equivalent of decimal number 1000 is 1111101000.
☛ Decimal to Binary Calculator
Problem Statements:
| What is 1000 in Binary? - (Base 2) | (1111101000)₂ |
| What is 1000 in Hexadecimal? - (Base 16) | (3E8)₁₆ |
| What is 1000 in Octal? - (Base 8) | (1750)₈ |
| Square Root of 1000 | 31.622777 |
| Is 1000 a Composite Number? | Yes |
| Cube Root of 1000 | 10.0 |
| Is 1000 a Prime Number? | No |
| Is 1000 a Perfect Square? | No |
| Is 1000 a Perfect Cube? | No |
FAQs on 1000 in Binary
What is 1000 in Binary?
1000 in binary is 1111101000. To find decimal to binary equivalent, divide 1000 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 1000 + 7?
1000 in binary number system is 1111101000 and 7 is 111. We can add the binary equivalent of 1000 and 7 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, (1111101000)₂ + (111)₂ = (1111101111)₂ which is nothing but 1007.
☛ Binary to Decimal Calculator
Find the Value of 10 × 1000 in Binary Form.
We know that 1000 in binary is 1111101000 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 1111101000 × 1010 = 10011100010000 which is 10000 in the decimal number system. [1000 × 10 = 10000]
How to Convert 1000 to Binary Equivalent?
We can divide 1000 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 1000 mod 2 = 0 - LSB (Least Significant Bit)
- 500 mod 2 = 0
- 250 mod 2 = 0
- 125 mod 2 = 1
- 62 mod 2 = 0
- 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 1000 in binary can be represented as 1111101000.
How Many Bits Does 1000 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 1000 in binary i.e. 1111101000. Therefore, we have used 10 bits to represent 1000 in binary.
☛ Also Check:
- 999 in Binary - 1111100111
- 155 in Binary - 10011011
- 63 in Binary - 111111
- 110 in Binary - 1101110
- 101 in Binary - 1100101
- 126 in Binary - 1111110
- 97 in Binary - 1100001