Correct Answer - Option 2 : 0.011
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 0
- Write 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: 0.375
|
Multiplication
|
Resultant integer part (R)
|
|
0.375 x 2= 0.750
|
0
|
|
0.750 x 2 = 1.50
|
1
|
|
0.50 x 2= 1.00
|
1
|
|
0.00 x 2= 0
|
0
|
Now, 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 binary
Hence, option (2) is correct.
