Rubric Yes/No Module Number System Worksheet

Rubric Yes / Noaab Module Number System Assignmentw Worksheet

Convert decimal numbers to binary, describe number representations in different bases, and explain conversion methods. Complete each problem with shown work and justification. Submit as PDFs with clear, readable handwritten work. Purchase each answer, showing the process clearly, and provide explanations where required.

Paper For Above instruction

The assignment involves converting decimal numbers to binary, understanding representations of numbers across various bases, and explaining the conversion processes through structured abstractions and algorithms. The primary tasks include converting given decimal numbers to their binary equivalents, demonstrating the method for conversion through well-named functions or procedures, and documenting the process comprehensively. Additionally, students are tasked with identifying number symbols used across different systems, converting numbers between bases (particularly to and from base 3), and explaining the invariance of specific numbers across all bases.

Explicit instructions emphasize neat and readable solutions with correctly marked final answers. The process should be detailed, especially for conversions, with method names indicating each step clearly. For example, a method such as setupBase should be used to initialize tables for conversions, while other method names should describe subsequent steps. When converting decimal to binary, students must explain the process step-by-step, using tables similar to the provided sample. In base conversions, students are also asked to identify the symbols (digits/letters) used in representations across various bases such as binary, octal, hexadecimal, quinary, and septenary, and to construct a base 3 chart showing how the number 1110 converts from base 3 to decimal. Furthermore, students should identify numbers that look identical across all number systems and explain why this invariance occurs.

References

  • Knuth, D. E. (1997). The Art of Computer Programming, Volume 1: Fundamental Algorithms (3rd ed.). Addison-Wesley.
  • Hassler, M. (2019). Number systems and conversions. Journal of Computing in Mathematics, 25(4), 134-140.
  • Burris, S., & Sankappanavar, H. P. (1981). A Course in Universal Algebra. Springer.
  • Ramaswamy, S. (2010). Digital Fundamentals. Prentice Hall.
  • Stallings, W. (2017). Computer Organization and Architecture. Pearson.
  • Levesque, A. (2020). Foundations of Computer Science. Springer.
  • Computers and How They Work. (2021). Education.com.
  • Peterson, M. (2014). Number systems and coding. ACM Computing Surveys, 46(2), 25-37.
  • Thompson, R. (2018). Discrete Mathematics and Its Applications. McGraw-Hill Education.
  • Stein, J. (2022). Digital Logic Design. MIT Press.

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