Main Heading: Subject: Lec 7 Subheadings and Content: For each of the following circuits, find the output & design a simpler circuit that has the same output. Circuit 1: Original Circuit: A circuit diagram with inputs A and B, and multiple AND, OR, and NOT gates. Output: F = A'B + AB' Simplified Circuit: A circuit diagram with a single XOR gate and an inverter. Circuit 2: Original Circuit: A circuit diagram with inputs A, B, C, and D, and multiple AND, OR, and NOT gates. Output: F = (A + B)(C + D) Simplified Circuit: A circuit diagram with two AND gates and an OR gate. Here is a comprehensive analysis of the image: Description: The image appears to be a handwritten page from a notebook. The title "Complement of Function" is written at the top, followed by the date and a number. The page contains handwritten notes and calculations related to the complement of functions. Textual Content: Main Heading: Finding Complement of Function: Subheadings and Content: Methods to find the complement: Using De Morgan's Law Dual or complement each literal Example: Find the complement of F = x'yz + xy'z' by both ways: 1. De Morgan's Law: F' = (x'yz + xy'z')' F' = (x'yz)'(xy'z')' F' = (x + y' + z)(x' + y + z) 2. Dual: F' = (x + y' + z)(x' + y + z) Sum of Product (SOP) SOP: x'y + xz + yz POS: (x + y)(x + z)(y + z) Truth Table for Y(SOP) A B Y 0 0 0 0 1 1 1 0 1 1 1 1 Truth Table for Z(SOP) A B Z 0 0 0 0 1 1 1 0 1 1 1 0 Main Heading: Subject Subheadings and Content: 1. Sum of Product (SOP) and Product of Sum (POS) expressions: SOP expression: Y(SOP) = A'BC' + A'BC + AB'C + ABC POS expression: Y(POS) = (A+B+C')(A'+B+C')(A'+B'+C)(A'+B'+C') 2. Derive an expression from the given truth table, simplify it, and draw a circuit diagram: Truth table: A B C Y 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1 Derived expression: Y = A'BC' + A'BC + AB'C + ABC + (A'B'C + A'BC' + AB'C') Simplified expression: Y = AC(B + B') + AB(C + C') + BC(A + A') Circuit diagram: circuit diagram with three AND gates, one OR gate, and one NOT gate

For Each Following Curciuts Find the Output & Design

For Each Following Curciuts Find the Output & Design - Page 3

For Each Following Curciuts Find the Output & Design - Page 4

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