口 Consider that you have four Boolean inputs A,B,C, and D. The goal is to create a circuit with an output equal to the following expression: 12 ĀBCD + ĀBCD+ ABCD + ABCD+ ĀBCD + ĀBCD + ABČD + ABCD To create the circuit, you only have NOT gates, AND gates with two inputs, and OR gates with two inputs. What is the number of such gates you need for creating the circuit such that the total number of gates are as least as possible? For example, if you need 4 NOT gates, 8 AND gates, and 7 OR gates, enter 4, 8 and 7 as the answer. HINT: Use Boolean Algebra or Truth Tables to simplify the expression. NOT Gates 2 AND Gates OR Gates

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Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.