the integer part of the previous product. Multiply the fractional part of the previous product by . Repeat Step until the same fraction repeats or terminates ( ). Step : The resulting integer part forms a sequence of 0s and 1s that become the binary equivalent of decimal fraction.
Step : The final answer is to be written from first integer part obtained till the last integer part obtained. Integer part . × = . (first integer part obtained) .
× = . . × = . (last integer part obtained) Note: Fraction repeats, the product is the same as in the first step.
Write the integer parts from top to bottom to obtain the equivalent fractional binary number. Hence ( . ) =( .00110011…) = ( .00110011) Workshop . Convert the following Decimal numbers to its equivalent Binary, Octal, Hexadecimal.
) ) ) . . Binary to Decimal Conversion To convert Binary to Decimal we can use positional notation method. Step : Write down the Binary digits and list the powers of from right to left(Positional Notation) Step : For each positional notation written for the digit, now write the equivalent weight.
Step : Multiply each digit with its corresponding weight Step : Add all the values. Table . Positional Notation and Weight Positional Notation Weight Positional Notation Weight Example Convert (111011) into its equivalent decimal number. Weight Positional Notation Given number Chapter Page - - + + + + + = ( ) (111011) = ( ) .
. Binary to Octal Conversion Step : Group the given binary number into bits from right to left. Step : You can add preceding to make a group of bits if the left