Question

Produce the logic diagram for the logic expression below showing the direction of the signals z=(x+y)w

Answer 1

To create a logic diagram for z = (x + y)w, start with an OR gate for x and y, then feed its output along with w into an AND gate. The ultimate output of the AND gate is z.

Step-by-step explanation:

The logic expression given is z = (x + y)w. To produce the logic diagram for this expression, you would start with an OR gate because of the plus sign, which indicates a logical OR operation between x and y. The outputs of x and y are inputs to this OR gate. Next, you would use an AND gate to represent the multiplication by w, which means that w is the second input to this AND gate, along with the output from the OR gate.

Here's how a basic diagram would look:

• Two input lines labeled 'x' and 'y' connecting to the OR gate.
• The output of the OR gate then connects as one input to the AND gate.
• Another input line labeled 'w' connecting directly to the AND gate as well.
• The AND gate output is then the final output 'z'.

Signal flows from left to right, starting from inputs x, y, and w, through the gates, culminating in output z.