Question Bank - Mathematics

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Decimal fraction 0.375 in binary form is

A.
0.0011
B.
0.011
C.
0.0111
D.
0.111

Solution:

Concept:Decimal to binary:Take the decimal number as a dividend.Divide the number by 2.Get the integer quotient for the next iteration.Get the remainder (it will be either 0 or 1 because of divisor 2).Repeat the steps until the quotient is equal to 0Write the remainders in reverse order (which will be the equivalent binary number of a given decimal number).Decimal to binary: (fractional part)Take the decimal numbers as the multiplicand.Multiply this number by 2 (2 is the base of binary so multiplier here).Store the value of the integer part of the result in an array (it will be either 0 or 1 because of multiplier 2).Repeat the above two steps until the number became zero.Write these resultant integer part Calculation:Convert decimal fractional number 0.375 into binary number.Here, decimal fraction: 0.375MultiplicationResultant integer part (R)0.375 x 2= 0.75000.750 x 2 = 1.5010.50 x 2= 1.0010.00 x 2= 00Now, write these resultant integer parts, this will be 0.0110 which is the equivalent binary fractional number of decimal fractional 0.375.? 57.375 can be written as 111001.011 in binaryHence, option (2) is correct.

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