14 in Binary
14 in binary is 1110. 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 14 in binary. In this article, let us learn how to convert the decimal number 14 to binary.
How to Convert 14 in Binary?
Step 1: Divide 14 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 |
|---|---|
| 14/2 = 7 | 0 |
| 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 14.
Therefore, the binary equivalent of decimal number 14 is 1110.
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Let us have a look at the value of the decimal number 14 in the different number systems.
- 14 in Binary: 14₁₀ = 1110₂
- 14 in Octal: 14₁₀ = 16₈
- 14 in Hexadecimal: 14₁₀ = E₁₆
- 1110₂ in Decimal: 14₁₀
Problem Statements:
| What is 14 in Binary? - (Base 2) | (1110)₂ |
| What is 14 in Hexadecimal? - (Base 16) | (E)₁₆ |
| What is 14 in Octal? - (Base 8) | (16)₈ |
| Is 14 a Prime Number? | No |
| Is 14 a Perfect Cube? | No |
| Is 14 a Composite Number? | Yes |
| Cube Root of 14 | 2.410142 |
| Square Root of 14 | 3.741657 |
| Is 14 a Perfect Square? | No |
FAQs on 14 in Binary
What is 14 in Binary?
14 in binary is 1110. To find decimal to binary equivalent, divide 14 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 9 × 14 in Binary Form.
We know that 14 in binary is 1110 and 9 is 1001. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1110 × 1001 = 1111110 which is 126 in the decimal number system. [14 × 9 = 126]
How to Convert 14 to Binary Equivalent?
We can divide 14 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 14 mod 2 = 0 - LSB (Least Significant Bit)
- 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 14 in binary can be represented as 1110.
What is the Binary Equivalent of 14 + 6?
14 in binary number system is 1110 and 6 is 110. We can add the binary equivalent of 14 and 6 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, (1110)₂ + (110)₂ = (10100)₂ which is nothing but 20.
☛ Binary to Decimal Calculator
How Many Bits Does 14 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 14 in binary i.e. 1110. Therefore, we have used 4 bits to represent 14 in binary.
☛ Also Check:
- 192 in Binary - 11000000
- 215 in Binary - 11010111
- 31 in Binary - 11111
- 242 in Binary - 11110010
- 147 in Binary - 10010011
- 183 in Binary - 10110111
- 10000 in Binary - 10011100010000