If x and y are two decimal numbers such as (0.11101)2 = (0.90xy5)10, what are…
2025
If x and y are two decimal numbers such as (0.11101)2 = (0.90xy5)10, what are the values of x and y?
- A.
x=2, y=6
- B.
x=6, y=2
- C.
x=9, y=8
- D.
none of the above
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Correct answer: B
To find the values of x and y, convert the binary number (0.11101)2 to decimal.
Sum the powers of 2 for each bit set to 1: 2^-1 + 2^-2 + 2^-3 + 2^-5 = 0.5 + 0.25 + 0.125 + 0.03125 = 0.90625.
Compare this result with the given decimal form (0.90xy5)10.
Matching the digits, 6 corresponds to x and 2 corresponds to y.