Question

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convert the following binary number (base 2) to hexadecimal (base 16).
10011110111₂ = 277 × (base 16)
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question 9
add the following using binary addition:
10011(2) + 111(2) = (2)
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Explanation:

Step1: Align the binary numbers

$$\begin{align*} &10011_{(2)}\\ +&00111_{(2)} \end{align*}$$

Step2: Add bit - by - bit from right to left

• Rightmost bit: \(1 + 1=10_{(2)}\), write down \(0\) and carry \(1\).
• Second - rightmost bit: \(1+1 + 1=11_{(2)}\), write down \(1\) and carry \(1\).
• Third - rightmost bit: \(0+1+1 = 10_{(2)}\), write down \(0\) and carry \(1\).
• Fourth - rightmost bit: \(0 + 0+1=1_{(2)}\), write down \(1\) and carry \(0\).
• Leftmost bit: \(1+0 = 1_{(2)}\), write down \(1\).

Answer:

\(11010_{(2)}\)