321 in Binary
321 in binary is 101000001. 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 9 bits to represent 321 in binary. In this article, let us learn how to convert the decimal number 321 to binary.
How to Convert 321 in Binary?
Step 1: Divide 321 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 |
|---|---|
| 321/2 = 160 | 1 |
| 160/2 = 80 | 0 |
| 80/2 = 40 | 0 |
| 40/2 = 20 | 0 |
| 20/2 = 10 | 0 |
| 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 321.
Therefore, the binary equivalent of decimal number 321 is 101000001.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 321 in the different number systems.
- 321 in Binary: 321₁₀ = 101000001₂
- 321 in Octal: 321₁₀ = 501₈
- 321 in Hexadecimal: 321₁₀ = 141₁₆
- 101000001₂ in Decimal: 321₁₀
Problem Statements:
| What is 321 in Binary? - (Base 2) | (101000001)₂ |
| What is 321 in Hexadecimal? - (Base 16) | (141)₁₆ |
| What is 321 in Octal? - (Base 8) | (501)₈ |
| Is 321 a Perfect Cube? | No |
| Is 321 a Perfect Square? | No |
| Is 321 a Composite Number? | Yes |
| Square Root of 321 | 17.916473 |
| Cube Root of 321 | 6.847021 |
| Is 321 a Prime Number? | No |
FAQs on 321 in Binary
What is 321 in Binary?
321 in binary is 101000001. To find decimal to binary equivalent, divide 321 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 4 × 321 in Binary Form.
We know that 321 in binary is 101000001 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 101000001 × 100 = 10100000100 which is 1284 in the decimal number system. [321 × 4 = 1284]
How Many Bits Does 321 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 321 in binary i.e. 101000001. Therefore, we have used 9 bits to represent 321 in binary.
What is the Binary Equivalent of 321 + 87?
321 in binary number system is 101000001 and 87 is 1010111. We can add the binary equivalent of 321 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, (101000001)₂ + (1010111)₂ = (110011000)₂ which is nothing but 408.
☛ Binary to Decimal Calculator
How to Convert 321 to Binary Equivalent?
We can divide 321 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 321 mod 2 = 1 - LSB (Least Significant Bit)
- 160 mod 2 = 0
- 80 mod 2 = 0
- 40 mod 2 = 0
- 20 mod 2 = 0
- 10 mod 2 = 0
- 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 321 in binary can be represented as 101000001.
☛ Also Check:
- 202 in Binary - 11001010
- 141 in Binary - 10001101
- 189 in Binary - 10111101
- 300 in Binary - 100101100
- 5 in Binary - 101
- 101 in Binary - 1100101
- 512 in Binary - 1000000000