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EXAMPLE 1: HOW TO CONVERT 4923 FROM BASE 10 TO BASE 8? 8 | 4923 8| 615 3 8| 76 7 8| 9 4 11 First, divide 4923 by 8. The answer is 615, with a remainder of 3. Arrange your work as shown. Next, divide 615 by 8. The answer is 76 with a remainder of 7. Arrange your work as shown. Next, divide 76 by 8. The answer is 9 with a remainder of 4. Arrange your work as shown. Next, divide 9 by 8. The answer is 1 with a remainder of 1. Arrange your work as shown. Stop. You cant divide 1 by 8. ANSWER: Read the numbers FROM THE BOTTOM UP like this: 11473 4923 in base 10 is 114738 EXAMPLE 2: HOW TO CONVERT 96 FROM BASE 10 TO BASE 8? 8 | 96 8 | 12 0 14 First, divide 96 by 8. The answer is 12, with a remainder of 0. Arrange your work as shown. Next, divide 12 by 8. The answer is 1 with a remainder of 4. Arrange your work as shown. Stop. You cant divide 1 by 8. ANSWER: Read the numbers FROM THE BOTTOM UP like this: 140 96 in base 10 is 1408 EXAMPLE 1: HOW TO CONVERT 543798 FROM BASE 8 TO BASE 10? ANSWER: 543798 = 5 X 84 + 4 X 83 + 3 X 82 + 7 X 8 + 9 543798 = 22785 ... View Full Document
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Lesson 4
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Section 3.3
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Division and the Remainder Theorem Review
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