Drawing Logic Diagrams: XYZ + X'Y' + X'Z' & B(A'C'+AC) + D'(A+B'C)

[loola]

hi ^^

Draw the logic diagram of the following expression. The diagram should correspond directly to the equation. Assume that the complements of the inputs are not available:
a . XYZ + X’Y’ + X’Z’.
b . B(A’C’+AC) + D’(A+B’C)


what does it mean ?
do i have to draw the inverter? or not?
should i use the sum of products form?​

 

[CEL]

hi ^^

Draw the logic diagram of the following expression. The diagram should correspond directly to the equation. Assume that the complements of the inputs are not available:
a . XYZ + X’Y’ + X’Z’.
b . B(A’C’+AC) + D’(A+B’C)


what does it mean ?
do i have to draw the inverter? or not?
should i use the sum of products form?​

In item a you don't need to use inverters. Use De Morgan's law and implement X'Y' and X'Z' using nor gates instead of nand gates.
In item b you should use inverters.

 

[piercas]

I would suggest creating a truth table for each expression first to understand the logic behind them. Then, you can proceed to draw the logic diagrams using the appropriate gates and connections. In this case, since the complements of the inputs are not available, you may need to use additional gates such as inverters to represent them. The sum of products form may be helpful in simplifying the equations and reducing the number of gates needed in the logic diagrams. However, it ultimately depends on the complexity of the expressions and the specific requirements of the project.