Lecture Digital logic design - Lecture 16: More multiplexers, encoders and decoders

The following will be discussed in this chapter: Binary decoders, converts an n-bit code to a single active output, can be developed using AND/OR gates, can be used to implement logic circuits, binary encoders, converts one of 2n inputs to an n-bit output, useful for compressing data, can be developed using AND/OR gates, both encoders and decoders are extensively used in digital systems. | DLD Lecture 16 More Multiplexers, Encoders and Decoders Give qualifications of instructors: DAP teaching computer architecture at Berkeley since 1977 Co-athor of textbook used in class Best known for being one of pioneers of RISC currently author of article on future of microprocessors in SciAm Sept 1995 RY took 152 as student, TAed 152,instructor in 152 undergrad and grad work at Berkeley joined NextGen to design fact 80x86 microprocessors one of architects of UltraSPARC fastest SPARC mper shipping this Fall Overview Binary decoders Converts an n-bit code to a single active output Can be developed using AND/OR gates Can be used to implement logic circuits. Binary encoders Converts one of 2n inputs to an n-bit output Useful for compressing data Can be developed using AND/OR gates Both encoders and decoders are extensively used in digital systems Discrete quantities of information are represented in digital systems by binary codes, A binary code of n bits is capable of representing up to 2" distinct elements of coded information. A decoder is a combinational circuit that converts binary information from n input lines to a maximum of 2" unique output lines. If the m-bit coded information has unused combinations, he decoder may have fewer than 2" output Multiplexer as combinational modules Connect input variables to select inputs of multiplexer (n-1 for n variables) Set data inputs to multiplexer equal to values of function for corresponding assignment of select variables Using a variable at data inputs reduces size of the multiplexer Implementing a Four- Input Function with a Multiplexer Typical multiplexer uses Decoder A decoder is a logic circuit that accepts a set of inputs that represents a binary number and activates only the output that corresponds to the input number. In other words, a decoder circuit looks at its inputs, determines which binary number is present there, and activates the one output that corresponds to that number ; all other outputs remain | DLD Lecture 16 More Multiplexers, Encoders and Decoders Give qualifications of instructors: DAP teaching computer architecture at Berkeley since 1977 Co-athor of textbook used in class Best known for being one of pioneers of RISC currently author of article on future of microprocessors in SciAm Sept 1995 RY took 152 as student, TAed 152,instructor in 152 undergrad and grad work at Berkeley joined NextGen to design fact 80x86 microprocessors one of architects of UltraSPARC fastest SPARC mper shipping this Fall Overview Binary decoders Converts an n-bit code to a single active output Can be developed using AND/OR gates Can be used to implement logic circuits. Binary encoders Converts one of 2n inputs to an n-bit output Useful for compressing data Can be developed using AND/OR gates Both encoders and decoders are extensively used in digital systems Discrete quantities of information are represented in digital systems by binary codes, A binary code of n bits is capable of representing

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