The advancements in digital circuits have led to the development of very complex and large assemblies of logic gates that are electronically integrated together to synthesize highly effective electronics,microprocesso...The advancements in digital circuits have led to the development of very complex and large assemblies of logic gates that are electronically integrated together to synthesize highly effective electronics,microprocessors and computer systems.However,the complexity of these devices must be succinctly simplified to achieve simplest circuits.The functions of some logic gates in the circuits must be inverted to minimize the existence of noise and other sources of interference that can distort the performance of the circuits.Besides,most circuit designers and programmers often oversight thorough diagnosis of the Boolean expressions for designing digital circuits.This paper proposes 26 new theorems of digital logic.The proven theorems demonstrate that logic gates are prominently embedded within the elements of hexadecimal notations and the Boolean expressions that are used for designing digital circuits,synthesizing and inverting the functions of six different logic gates during the simplification of complex digital circuits.展开更多
文摘The advancements in digital circuits have led to the development of very complex and large assemblies of logic gates that are electronically integrated together to synthesize highly effective electronics,microprocessors and computer systems.However,the complexity of these devices must be succinctly simplified to achieve simplest circuits.The functions of some logic gates in the circuits must be inverted to minimize the existence of noise and other sources of interference that can distort the performance of the circuits.Besides,most circuit designers and programmers often oversight thorough diagnosis of the Boolean expressions for designing digital circuits.This paper proposes 26 new theorems of digital logic.The proven theorems demonstrate that logic gates are prominently embedded within the elements of hexadecimal notations and the Boolean expressions that are used for designing digital circuits,synthesizing and inverting the functions of six different logic gates during the simplification of complex digital circuits.
