3 in Binary
3 in binary is 11. 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 2 bits to represent 3 in binary. In this article, let us learn how to convert the decimal number 3 to binary.
How to Convert 3 in Binary?
Step 1: Divide 3 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 |
|---|---|
| 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 3.
Therefore, the binary equivalent of decimal number 3 is 11.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 3 in the different number systems.
- 3 in Binary: 3₁₀ = 11₂
- 3 in Octal: 3₁₀ = 3₈
- 3 in Hexadecimal: 3₁₀ = 3₁₆
- 11₂ in Decimal: 3₁₀
Problem Statements:
| What is 3 in Binary? - (Base 2) | (11)₂ |
| What is 3 in Hexadecimal? - (Base 16) | (3)₁₆ |
| What is 3 in Octal? - (Base 8) | (3)₈ |
| Cube Root of 3 | 1.44225 |
| Square Root of 3 | 1.732051 |
| Is 3 a Prime Number? | Yes |
| Is 3 a Perfect Cube? | No |
| Is 3 a Composite Number? | No |
| Is 3 a Perfect Square? | No |
FAQs on 3 in Binary
What is 3 in Binary?
3 in binary is 11. To find decimal to binary equivalent, divide 3 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 1 × 3 in Binary Form.
We know that 3 in binary is 11 and 1 is 1. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 11 × 1 = 11 which is 3 in the decimal number system. [3 × 1 = 3]
What is the Binary Equivalent of 3 + 83?
3 in binary number system is 11 and 83 is 1010011. We can add the binary equivalent of 3 and 83 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, (11)₂ + (1010011)₂ = (1010110)₂ which is nothing but 86.
☛ Binary to Decimal Calculator
How Many Bits Does 3 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 3 in binary i.e. 11. Therefore, we have used 2 bits to represent 3 in binary.
How to Convert 3 to Binary Equivalent?
We can divide 3 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 3 mod 2 = 1 - LSB (Least Significant Bit)
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 3 in binary can be represented as 11.
☛ Also Check:
- 15 in Binary - 1111
- 42 in Binary - 101010
- 248 in Binary - 11111000
- 134 in Binary - 10000110
- 231 in Binary - 11100111
- 18 in Binary - 10010
- 90 in Binary - 1011010