True or False: The introduction of TTL replaced design using mathematical techniques with the concept of redundancy.

The assertion is true because the introduction of Transistor-Transistor Logic (TTL) significantly influenced the way digital circuits were designed. Before TTL, designers often relied heavily on mathematical techniques to optimize circuit designs and minimize the number of components used. With the arrival of TTL, which provided a more reliable and easier means to create integrated circuits, the focus shifted towards practical implementation techniques that included the concept of redundancy.

Redundancy in circuit design refers to the inclusion of extra components or paths to ensure that the circuit continues to function correctly even if some components fail. TTL technology allowed for the creation of circuits that were more fault-tolerant and easier to work with, making it acceptable and sometimes advantageous to incorporate redundancy. This shift marked a significant change in design philosophy, showcasing the strengths of TTL in achieving robustness and reliability, rather than solely focusing on mathematical optimization of components.

In summary, the introduction of TTL indeed moved the design approach from a strict reliance on mathematical techniques towards a methodology that embraced redundancy to enhance reliability.