0.17 Decimal to Binary Conversion
In this article, we will learn how to convert the decimal number 0.17 to its binary equivalent.
Binary Number System
Binary is a number system that uses only two digits: 0 and 1. It is the basis for all computer programming and is used to represent information in computers.
Decimal to Binary Conversion
To convert a decimal number to binary, we can use the following steps:
- Multiply the decimal number by 2: Multiply the decimal number by 2 to get the integer part and the fractional part.
- Take the integer part as the next binary digit: Take the integer part as the next binary digit.
- Repeat steps 1 and 2 until the fractional part becomes 0: Repeat steps 1 and 2 until the fractional part becomes 0.
Converting 0.17 to Binary
Let's convert 0.17 to binary using the steps above:
- Multiply 0.17 by 2: 0.17 × 2 = 0.34 The integer part is 0, and the fractional part is 0.34.
- Multiply 0.34 by 2: 0.34 × 2 = 0.68 The integer part is 0, and the fractional part is 0.68.
- Multiply 0.68 by 2: 0.68 × 2 = 1.36 The integer part is 1, and the fractional part is 0.36.
- Multiply 0.36 by 2: 0.36 × 2 = 0.72 The integer part is 0, and the fractional part is 0.72.
- Multiply 0.72 by 2: 0.72 × 2 = 1.44 The integer part is 1, and the fractional part is 0.44.
We can stop here because the fractional part is very small, and we can approximate the binary representation.
Binary Representation
The binary representation of 0.17 is approximately 0.00101101.
In this article, we learned how to convert the decimal number 0.17 to its binary equivalent using the multiplication method. We also learned about the binary number system and how it is used in computer programming.
