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Multiplexer as a Universal Function Generator Lecture

Learn about how Multiplexers can function as a universal function generator in this detailed lecture. Explore the capabilities of 4.x.1 MUX in implementing logic circuits with three inputs. Step-by-step instructions on using 2.x.1 MUX to implement complex logic equations like Gout, Gin, A, and B. Understand how MUX can act as a versatile component in designing logic circuits efficiently.

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Multiplexer as a Universal Function Generator Lecture

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  1. Multiplexer as a Universal Function Generator Lecture L6.7 Section 6.2

  2. 4 x 1 MUX s1 s0 Y 0 0 C0 0 1 C1 1 0 C2 1 1 C3 Multiplexers C0 C1 Y C2 C3 s1 s0

  3. 4 x 1 MUX =XOR 0 1 1 0 Multiplexers s1 s0 Y 0 1 1 0 C0 0 0 C0 0 1 C1 1 0 C2 1 1 C3 C1 Y C2 C3 s1 s0

  4. 4 x 1 MUX =AND 0 0 0 1 Multiplexers s1 s0 Y 0 0 0 1 C0 0 0 C0 0 1 C1 1 0 C2 1 1 C3 C1 Y C2 C3 s1 s0

  5. 4 x 1 MUX =OR 0 1 1 1 Multiplexers s1 s0 Y 0 1 1 1 C0 0 0 C0 0 1 C1 1 0 C2 1 1 C3 C1 Y C2 C3 s1 s0

  6. 4 x 1 MUX =NAND 1 1 1 0 Multiplexers s1 s0 Y 1 1 1 0 C0 0 0 C0 0 1 C1 1 0 C2 1 1 C3 C1 Y C2 C3 s1 s0

  7. 4 x 1 MUX =NOR 1 0 0 0 Multiplexers s1 s0 Y 1 0 0 0 C0 0 0 C0 0 1 C1 1 0 C2 1 1 C3 C1 Y C2 C3 s1 s0 Can you implement a logic circuit with THREE inputs using a 4 x 1 MUX?

  8. 2 x 1 MUX is a universal element

  9. Step 1 Implement the following logic equation using 2 x 1 MUXs Gout = x & !y # x & Gin # !y & Gin x = 0 A = !y & Gin x = 1 B = !y # Gin # !y & Gin

  10. Step 2 A = !y & Gin y = 0 0-input = Gin y = 1 1-input = 0 B = !y # Gin # !y & Gin y = 0 0-input = 1 y = 1 1-input = Gin

  11. 4 x 1 MUX The variable Gout is 1 if x > y or if x = y and Gin = 1.

  12. 4 x 1 MUX Majority Circuit C0 0 C1 Y C2 s0 C3 s0 s2 s1 1

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