999 in Binary
999 in binary is 1111100111. 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 999 in binary. In this article, let us learn how to convert the decimal number 999 to binary.
How to Convert 999 in Binary?
Step 1: Divide 999 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 |
|---|---|
| 999/2 = 499 | 1 |
| 499/2 = 249 | 1 |
| 249/2 = 124 | 1 |
| 124/2 = 62 | 0 |
| 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 999.
Therefore, the binary equivalent of decimal number 999 is 1111100111.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 999 in the different number systems.
- 999 in Binary: 999₁₀ = 1111100111₂
- 999 in Octal: 999₁₀ = 1747₈
- 999 in Hexadecimal: 999₁₀ = 3E7₁₆
- 1111100111₂ in Decimal: 999₁₀
Problem Statements:
| What is 999 in Binary? - (Base 2) | (1111100111)₂ |
| What is 999 in Hexadecimal? - (Base 16) | (3E7)₁₆ |
| What is 999 in Octal? - (Base 8) | (1747)₈ |
| Is 999 a Composite Number? | Yes |
| Is 999 a Perfect Square? | No |
| Is 999 a Prime Number? | No |
| Cube Root of 999 | 9.996666 |
| Square Root of 999 | 31.606961 |
| Is 999 a Perfect Cube? | No |
FAQs on 999 in Binary
What is 999 in Binary?
999 in binary is 1111100111. To find decimal to binary equivalent, divide 999 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 999 + 32?
999 in binary number system is 1111100111 and 32 is 100000. We can add the binary equivalent of 999 and 32 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, (1111100111)₂ + (100000)₂ = (10000000111)₂ which is nothing but 1031.
☛ Binary to Decimal Calculator
How to Convert 999 to Binary Equivalent?
We can divide 999 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 999 mod 2 = 1 - LSB (Least Significant Bit)
- 499 mod 2 = 1
- 249 mod 2 = 1
- 124 mod 2 = 0
- 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 999 in binary can be represented as 1111100111.
How Many Bits Does 999 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 999 in binary i.e. 1111100111. Therefore, we have used 10 bits to represent 999 in binary.
Find the Value of 4 × 999 in Binary Form.
We know that 999 in binary is 1111100111 and 4 is 100. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111100111 × 100 = 111110011100 which is 3996 in the decimal number system. [999 × 4 = 3996]
☛ Also Check:
- 10 in Binary - 1010
- 66 in Binary - 1000010
- 400 in Binary - 110010000
- 10000 in Binary - 10011100010000
- 231 in Binary - 11100111
- 13 in Binary - 1101
- 47 in Binary - 101111