The binary equivalent of the decimal number 42.75 is, ISRO 2013

To convert decimal 42.75 to binary, handle the integer and fractional parts separately.

Integer part (42): Divide by 2 repeatedly. 42/2=21 r0, 21/2=10 r1, 10/2=5 r0, 5/2=2 r1, 2/2=1 r0, 1/2=0 r1. Reading remainders bottom-up gives 101010.

Fractional part (0.75): Multiply by 2 repeatedly. 0.75*2=1.5 (digit 1), 0.5*2=1.0 (digit 1). Reading digits top-down gives .11.

Combining both parts, the binary equivalent is 101010.11.