Final answer:
To solve this assembly and computer organization assignment, you need to create a truth table for the given function, draw the logic diagram using the original Boolean expression, simplify the expression using Boolean algebra and identities, and create a truth table for the simplified expression and draw its logic diagram.
Step-by-step explanation:
To create a truth table for the function F(x,y,z)=y(x′z+xz′)+x(yz+yz′), you can assign all possible combinations of 0 and 1 to the variables x, y, and z. Then, calculate the value of F for each combination. The resulting truth table should have 8 rows, with the variables x, y, z in the first three columns and the output F in the last column.
To draw the logic diagram using the original Boolean expression, you can break down the expression into smaller parts and represent each part with corresponding logic gates such as AND, OR, and NOT gates. Connect the logic gates according to the Boolean functions they represent to create the final logic diagram.
To simplify the expression using Boolean algebra and identities, you can apply various Boolean operations and rules to reduce the expression to its simplest form. Identify common terms and use Boolean algebra rules like De Morgan's laws, distributive property, and identity laws to simplify the expression.
To create a truth table for the simplified expression, substitute the simplified expression into the function F and calculate the value of F for each combination of inputs x, y, and z. The resulting truth table should have the same structure as the original truth table.
To draw the logic diagram for the simplified expression, repeat the process of breaking down the simplified expression into smaller parts and representing each part with logic gates. Connect the logic gates according to the simplified Boolean functions to create the final logic diagram.