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# homework1 - Dai Zhaoyang 22C:016:A06 ID 00719596 1 The...

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Dai Zhaoyang 22C:016:A06 ID: 00719596 1. The following is an incomplete table of the first twenty whole numbers in decimal and their ternary equivalents. Your task is to complete this table. Decimal Ternary 10 101 11 102 12 110 13 111 14 112 15 120 16 121 17 122 18 200 19 201 Decimal Ternary 0 0 1 1 2 2 3 10 4 11 5 12 6 20 7 21 8 22 9 100 2. Based on what you see in this table, what can you say about the last digit of the ternary equivalent of a decimal number n? In other words, make a precise observation about what the last digit of the ternary equivalent of the decimal number n is, as a function of the value of n. Answer in one sentence. Answer: The last digit of the ternary equivalent of the decimal number n is equal to the remainder of n divided by 3. 3. The above observation helps you get the last digit of the ternary equivalent of a number n. To get the rest of the digits observe a relationship between the ternary equivalent of a decimal number n and the ternary equivalent of a number roughly one-third of n. State this observation precisely. Answer in 1-2 sentences.

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• Fall '13
• MichaelColbert
• Numerical digit, Decimal, Numeral system, ternary equivalent

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