ANSWER THREE Question 1 a) For a digital system that accepts only binary numbers in form of 0 and 1, the only way to interpret decimal numbers is its conversion from decimal to binary and vice- versa which is not a slow process but also requires a huge electronic circuitry Hence, Binary Coded Decimal (BCD) numbers are used Additionally, the sequential nature of BCD numbers makes it advantageous for performing arithmetic operations An electronics company has hired you to design a code converter that converts decimal digit from the 2421 code to 84-2-1 BCD code for it Design the converter Major Topic Number Systems, Number Representations, and Codes Blooms Designation Score 9 CR b) in designing digital logic circuits, there is the need to simplify the Boolean expressions or functions which are used to implement these circuits as simple as possible. Simplification of Boolean expressions or functions aids in the implementation of a smaller and simpler digital logic circuits which saves cost reduces the number of gates needed, and reduces the power and the amount of space required by those gates Boolean algebra is a tool used to simplify Boolean expressions or functions. Using Boolean algebra, simplify the following Boolean expressions Z A'C(A'BD) +A'BC D'AB'C il (8 +BC)(B+B'C)(B+D)