Cape Breton University Mathematics 1216 Lab Assignment 3 Part 2 PDF
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Cape Breton University
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This document is a lab assignment for Cape Breton University Mathematics 1216 course. It contains various problems related to number systems, including base conversion, addition and multiplication in base 2 and conversions from Roman to base 10. The problems cover a range of number system conversions and arithmetic operations.
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Cape Breton University Mathematics 1216 Lab Assignment 3 Part 2 1. If it is possible, expand each number as a sum of powers of the base indicated. If it is not possible, explain why it is not possible. If no base is indicated, then assume that the base is 10. (a) 1234...
Cape Breton University Mathematics 1216 Lab Assignment 3 Part 2 1. If it is possible, expand each number as a sum of powers of the base indicated. If it is not possible, explain why it is not possible. If no base is indicated, then assume that the base is 10. (a) 1234 (b) 3178 (c) 85619 (d) 12343 (e) 100112 2. Write each of the following expressions in base-b notation for the appropriate base: (a) (8 · 103) + (6 · 101) + (4 ·100) (b) (3 · 58) + (2 · 57) + (4 · 56) + (4 · 55) + (1 · 52) + (3 · 51) + (1 · 50) 3. Convert each of the following bases: (a) 90 to Base 2 (b) 782 to Base 7 4. Add the following in Base 2: (a) 1011012 + 110102 + 100012 (b) 1012 + 110112 + 10102 5. Multiply the following in Base 2 (Check your answer by converting all Base 2 numbers to Base 10): 10112 · 1112 6. Write the following as Roman numerals: (a) 612 (b) 2120 7. Write the following Roman numerals in decimal notation (Base 10). (a) MDCCCCLXXVI (b) MDCCLXXVI
