Convert Decimal Number 5910.210 to Binary and Hexadecimal

How to convert the decimal number 5910.210 to binary and hexadecimal?

Can you explain the process of converting the decimal number to its binary and hexadecimal representations?

Conversion of Decimal Number 5910.210 to Binary and Hexadecimal

Converting a decimal number like 5910.210 to binary and hexadecimal is an exciting process that involves breaking down the number into its integer and fractional parts.

To convert a decimal number to binary, we need to separate the integer and fractional parts. The integer part is converted to binary using the division method, while the fractional part is converted using multiplication by 2.

In the case of 5910.210, the integer part 5910 converts to binary as 101110001110. For the fractional part .210, we multiply by 2, keep the integer part, and repeat until it becomes zero, resulting in .001100110011.

Therefore, the complete binary representation of 5910.210 is 101110001110.001100110011.

When converting the same number to hexadecimal, the integer 5910 converts to 1716, and the fractional .210 converts to .36E97 in hexadecimal, considering the base of 16.

Hence, the decimal number 5910.210 translates to 101110001110.001100110011 in binary and 1716.36E97 in hexadecimal.