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Computer Science

Subtract hexa-decimal number (A68D)16 from (D53F)16

Number System

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Answer

DC543F-A68D2EB2\begin{matrix} & \overset{C}{\cancel{D}} & \overset{4}{\cancel{5}} & 3 & F \ - & A & 6 & 8 & D \ \hline & \bold{2} & \bold{E} & \bold{B} & \bold{2} \end{matrix}

Therefore, (D53F)16 - (A68D)16 = (2EB2)16

Explanation
  1. F - D = 15 - 13 = 2.
  2. 3 - 8, here 8 is greater than 3 so we borrow 1 from next significant digit 5 and it becomes 4. Now 3 becomes 3 + 16 = 19 and 19 - 8 = 11 or B.
  3. 4 - 6, here again 6 is greater than 4 so we borrow 1 from next significant digit D and it becomes C. Now 4 becomes 4 + 16 = 20 and 20 - 6 = 14 or E.
  4. C - A = 12 - 10 = 2.

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