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question 10 add the following using binary addition: 110(2) + 10(2) = (…

Question

question 10
add the following using binary addition:
110(2) + 10(2) = (2)
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question 11
using the following table, decode the binary ascii code:
01010111 01000010 01001000

Explanation:

Step1: Align the binary numbers

$$\begin{align*} &110_{(2)}\\ +&010_{(2)}\\ \end{align*}$$

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

  • Right - most bit: \(0 + 0=0\)
  • Middle bit: \(1+1 = 10\) (write \(0\) and carry \(1\))
  • Left - most bit: \(1+0+1 = 10\) (write \(0\) and carry \(1\)). Since there are no more bits, the carry \(1\) is written.

Answer:

\(1000_{(2)}\)