17 in Binary
17 in binary is 10001. 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 5 bits to represent 17 in binary. In this article, let us learn how to convert the decimal number 17 to binary.
How to Convert 17 in Binary?
Step 1: Divide 17 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 |
|---|---|
| 17/2 = 8 | 1 |
| 8/2 = 4 | 0 |
| 4/2 = 2 | 0 |
| 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 17.
Therefore, the binary equivalent of decimal number 17 is 10001.
☛ Decimal to Binary Calculator
Let us have a look at the value of the decimal number 17 in the different number systems.
- 17 in Binary: 17₁₀ = 10001₂
- 17 in Octal: 17₁₀ = 21₈
- 17 in Hexadecimal: 17₁₀ = 11₁₆
- 10001₂ in Decimal: 17₁₀
Problem Statements:
| What is 17 in Binary? - (Base 2) | (10001)₂ |
| What is 17 in Hexadecimal? - (Base 16) | (11)₁₆ |
| What is 17 in Octal? - (Base 8) | (21)₈ |
| Is 17 a Perfect Square? | No |
| Is 17 a Composite Number? | No |
| Cube Root of 17 | 2.571282 |
| Square Root of 17 | 4.123106 |
| Is 17 a Perfect Cube? | No |
| Is 17 a Prime Number? | Yes |
FAQs on 17 in Binary
What is 17 in Binary?
17 in binary is 10001. To find decimal to binary equivalent, divide 17 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 × 17 in Binary Form.
We know that 17 in binary is 10001 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 10001 × 1 = 10001 which is 17 in the decimal number system. [17 × 1 = 17]
How Many Bits Does 17 in Binary Have?
We can count the number of zeros and ones to see how many bits are used to represent 17 in binary i.e. 10001. Therefore, we have used 5 bits to represent 17 in binary.
How to Convert 17 to Binary Equivalent?
We can divide 17 by 2 and continue the division till we get 0. Note down the remainder in each step.
- 17 mod 2 = 1 - LSB (Least Significant Bit)
- 8 mod 2 = 0
- 4 mod 2 = 0
- 2 mod 2 = 0
- 1 mod 2 = 1 - MSB (Most Significant Bit)
Write the remainders from MSB to LSB. Therefore, the decimal number 17 in binary can be represented as 10001.
What is the Binary Equivalent of 17 + 79?
17 in binary number system is 10001 and 79 is 1001111. We can add the binary equivalent of 17 and 79 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, (10001)₂ + (1001111)₂ = (1100000)₂ which is nothing but 96.
☛ Also Check:
- 252 in Binary - 11111100
- 41 in Binary - 101001
- 1 in Binary - 1
- 24 in Binary - 11000
- 63 in Binary - 111111
- 31 in Binary - 11111
- 157 in Binary - 10011101