Conversion of decimal number to binary number, Computer Engineering

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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:

1409_Conversion of Decimal Number to Binary Number.png

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.

1483_Conversion of Decimal Number to Binary Number1.png

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:

1350_Conversion of Decimal Number to Binary Number3.png


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