GATE CS 2014 Set 3 — Question 10
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Digital Logic → Number Systems & Arithmetic → Number Base Conversions
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Question
Consider the equation: , where stands for X to the base N. Find Y.
Correct answer
(C) 3142
Solution
Given the equation in base 8 (octal):Rearranging to solve for :Performing the subtraction in base 8: -----------
1.Units place:
2.Eights place: is not possible, so we borrow from the next higher place (the s place). In base 8, borrowing 1 adds 8 to the current digit. So, . The digit 5 in the s place becomes 4.
3. s place:
4. s place:
The result is .Therefore, .Continue learning with Success Tracker
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