Answer to Question #311792 in Discrete Mathematics for tia

Question

Convert the decimal fraction 55.231₁₀ to its binary equivalence.

Answer 1

Solution

For the decimal number (55.231)₁₀

There are two parts of the given decimal number. The integral part 55 and the decimal part 0.231

Now to find the binary equivalent of 55, we proceed as follows,

So (55)₁₀ = (11101)₂

 

Now for the fractional part, we proceed as follows

Therefore, (0.231)10 = (0.00111011…)₂

 

Hence (55.231)₁₀ = (11101.00111011…)₂