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__ Answer__: 3 to 3

** Given**:

(0.1101)_{2} = (0.8xy5)_{10}

**Calculation:**

(0.1101)_{2} =\(\frac{1}{2} \times 1 + \frac{1}{{{2^2}}} \times 1 + \;\frac{1}{{{2^3}}} \times 0 + \frac{1}{{{2^4}}} \times 1 \)

(0.1101)2 =0.5 + 0.25 + 0.0625

∴ (0.1101)2 = (0.8125)_{10} = (0.8xy5)10

∴ x=1 and y=2

Therefore the decimal value of x+y = 3.