12 in Binary
12 in binary is 1100. 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 4 bits to represent 12 in binary. In this article, let us learn how to convert the decimal number 12 to binary.
How to Convert 12 in Binary?
Step 1: Divide 12 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 |
|---|---|
| 12/2 = 6 | 0 |
| 6/2 = 3 | 0 |
| 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 12.
Therefore, the binary equivalent of decimal number 12 is 1100.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 12 in the different number systems.
- 12 in Binary: 12₁₀ = 1100₂
- 12 in Octal: 12₁₀ = 14₈
- 12 in Hexadecimal: 12₁₀ = C₁₆
- 1100₂ in Decimal: 12₁₀
Problem Statements:
| What is 12 in Binary? - (Base 2) | (1100)₂ |
| What is 12 in Hexadecimal? - (Base 16) | (C)₁₆ |
| What is 12 in Octal? - (Base 8) | (14)₈ |
| Is 12 a Prime Number? | No |
| Is 12 a Composite Number? | Yes |
| Is 12 a Perfect Square? | No |
| Cube Root of 12 | 2.289428 |
| Square Root of 12 | 3.464102 |
| Is 12 a Perfect Cube? | No |
FAQs on 12 in Binary
What is 12 in Binary?
12 in binary is 1100. To find decimal to binary equivalent, divide 12 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 12 + 99?
12 in binary number system is 1100 and 99 is 1100011. We can add the binary equivalent of 12 and 99 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, (1100)₂ + (1100011)₂ = (1101111)₂ which is nothing but 111.
☛ Binary to Decimal Calculator
Find the Value of 7 × 12 in Binary Form.
We know that 12 in binary is 1100 and 7 is 111. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1100 × 111 = 1010100 which is 84 in the decimal number system. [12 × 7 = 84]
How Many Bits Does 12 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 12 in binary i.e. 1100. Therefore, we have used 4 bits to represent 12 in binary.
How to Convert 12 to Binary Equivalent?
We can divide 12 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 12 mod 2 = 0 - LSB (Least Significant Bit)
- 6 mod 2 = 0
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 12 in binary can be represented as 1100.
☛ Also Check:
- 9999 in Binary - 10011100001111
- 107 in Binary - 1101011
- 225 in Binary - 11100001
- 24 in Binary - 11000
- 32 in Binary - 100000
- 126 in Binary - 1111110
- 21 in Binary - 10101