How to convert 23.125 to binary (hex) using the double - precision representation

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(10111.001)₂

Explanation:

To convert a decimal number to a binary number we have to constantly divide the decimal number by 2 till the decimal number becomes zero and the binary number is writing the remainders in reverse order of obtaining them on each division.

Hence the binary number is 10111.001

To convert binary to hexa decimal we to make a group 4 binary bits starting from the decimal and moving outwards if the last group is not of 4 then add respective 0's and write the corresponding hexa decimal number.

0001  0111 . 0010

   1        7         2

Hence the hexadecimal number is 17.2