Conversion of Decimal Number to Binary Number:

For converting a decimal number to binary integer part and fractional part are handled separately. Let's describe it with help of an illustration:

Example:  Convert the decimal number 43.125 to binary number.

Solution:

Please note in figure above it:

• Equivalent binary to Integer part of the number is (101011)₂

• You will get Integer part of number if you READ remainder in direction of the Arrow.

Please note in the figure above that:

• The equivalent binary to Fractional part of number is 001.

• You will get fractional part of number if you READ Integer part of number in direction of Arrow.

So the number (101011.001)₂ is equivalent to (43.125)₁₀

You can cross check it as follows: