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QUESTION 2 a) Compare any THREE (3) differences between the base-8 number system and the base-16 number system b) One of the reasons humans use

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QUESTION 2 a) Compare any THREE (3) differences between the base-8 number system and the base-16 number system b) One of the reasons humans use decimal numbers for counting is because we have ten fingers. Suppose an alien from outer space has eighteen fingers, the alien is seeking your opinion to suggest a new numbering system by adopting the concept of the earth's numbering system i. Determine the base of a suitable number system? ii. List all possible digits that can be used in the system. iii. Based on the newly designed base number system, propose two sample numbers. The last digit of the two sample numbers must be the largest in the number system. For example, in decimal numbers, the largest digit is 9, and the sample numbers are 19, 219, 39, 7829, and so on. iv. Demonstrate the steps to add the two sample numbers suggested in iii. c) Calculate the following number system equations. Prove your answer by providing the step-by-step calculation. i. Provide the answers in the binary value. a) 3368 - 2910 b) 67E16-5648 (Total: 25 marks)

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