Question

Y1=A’B’C’+A’BC+AB’C
Make a truth table and a logic diagram.

Answer 1

To create a truth table and logic diagram for the expression Y1 = A'B'C' + A'BC + AB'C, we need to list all possible combinations of inputs (A, B, and C) and calculate the corresponding output (Y1).

Step-by-step explanation:

A truth table and a logic diagram can be created based on the expression provided: Y1 = A'B'C' + A'BC + AB'C.

To create the truth table, we need to list all the possible combinations of inputs (A, B, and C) and calculate the corresponding output (Y1).

Here is the truth table:

ABCY100010010010101101001101111001111

To create the logic diagram, we can use logic gates to represent the different components of the expression. For example, the term A'B'C' can be represented using three NOT gates in series, with the inputs A, B, and C. Similarly, the term A'BC can be represented using an AND gate between A' and B, and another AND gate between the result and C. Finally, the term AB'C can be represented using an AND gate between A and B', and another AND gate between the result and C. By connecting these gates appropriately, we can create a logic diagram for the expression.