HW1 Problem 10

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Problem 10

Compute the following using modular addition.

Solution

(a)

(1)

\begin{equation} 8 + _{10}6 \end{equation}

(2)

\begin{equation} 8 + _{10}6 = 14 - 10 = 4 \end{equation}

(b)

(3)

\begin{align} 2\sqrt{2}+_{\sqrt{32}}3\sqrt{2} \end{align}

(4)

\begin{align} 2\sqrt{2}+_{\sqrt{32}}3\sqrt{2}=5\sqrt{2}-\sqrt{32}=5\sqrt{2}-4\sqrt{2}=\sqrt{2} \end{align}