Scenario:

Imagine you are part of a team working on designing a new digital calculator for a mathematics competition. Your task is to implement various arithmetic operations on binary numbers, including addition, subtraction, multiplication, and division. This calculator aims to showcase the efficiency and versatility of binary arithmetic in solving mathematical problems.

Assignment:

$1.$ Compose a detailed explanation of how you would design and develop the binary adder, subtractor, multiplier, and divider modules for the calculator.

$2.$ Illustrate how you would integrate and organize these modules to ensure seamless mathematical operations.

$3.$ Provide detailed examples of binary calculations for each operation to demonstrate the functionality of your design.

$4.$ Summarize the advantages and challenges of using binary arithmetic in comparison to decimal arithmetic.

$5.$ Highlight the significance of designing such a calculator in promoting a deeper understanding of number systems and mathematical operations.$$

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