Binary Calculator using logisim$.$ This calculator aims to showcase the efficiency and versatility of binary arithmetic in solving mathematical problems.

$1.$ 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.