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Computer Science

Add octal numbers (1546)8 and (641)8

Number System

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Answer

115146+6412407\begin{matrix} & \overset{1}{1} & \overset{1}{5} & 4 & 6 \ + & & 6 & 4 & 1 \ \hline & \bold{2} & \bold{4} & \bold{0} & \bold{7} \end{matrix}

Therefore, (1546)8 + (641)8 = (2407)8

Explanation
  1. 6 + 1 = 7.
  2. 4 + 4 = 8, as sum is equal to 8 so we will do 8 - 8 = 0. Hence, sum = 0, carry over = 1.
  3. 1 + 5 + 6 = 12, as sum is greater than 8 so we will do 12 - 8 = 4. Hence, sum = 4, carry over = 1.
  4. 1 + 1 = 2.

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