Convert decimal number 9.125 to binary number.

Sure, here are the steps to convert the decimal number 9.125 into a binary number:

1. Separate the whole number (9) and the fractional part (.125) of the decimal number.

2. Convert the whole number to binary:

   • Divide the number by 2.
   • Write down the remainder.
   • Divide the quotient of the previous division by 2.
   • Repeat the steps until you get a quotient of zero.
   • The binary equivalent is obtained by reading the remainders in reverse order. So, for 9 the binary equivalent is 1001.

3. Convert the fractional part to binary:

   • Multiply the fractional part by 2.
   • Write down the whole number part.
   • Repeat the process with the fractional part of the product.
   • Stop when the fractional part is zero or when you have enough accuracy. So, for .125 the binary equivalent is .001.

4. Combine the two parts:

   • The binary equivalent of the whole number and the fractional part are combined with a radix point. So, the binary equivalent of 9.125 is 1001.001.