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Implement the following function using "a decoder" and a "NOR gate" (5pt). f(a, b, c) = Em (0, 1, 2, 4) %3D

Implement the following function using "a decoder" and a "NOR gate" (5pt). f(a, b, c) = Em (0, 1, 2, 4) %3D

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Part (1):** Implement the following function using a "decoder" and a "NOR gate" (5pt). \( f(a, b, c) = \sum m(0, 1, 2, 4) \) **Explanation:** This function is expressed in terms of minterms \( m(0, 1, 2, 4) \), where each number represents a specific combination of the binary variables \( a, b, \) and \( c \) that makes the function true (logic 1). The task is to construct this function using a decoder and a NOR gate. A **decoder** is a combinational circuit that converts binary information from 'n' input lines to a maximum of \( 2^n \) unique output lines. For a 3-variable input (like \( a, b, c \)), a 3-to-8 line decoder would be appropriate. A **NOR gate** is a digital logic gate that outputs true or '1' only when both inputs to it are false or '0'. It is the opposite of an OR gate. In this context, the NOR gate can be used for creating the function by inverting certain outputs of the decoder.
Transcribed Image Text:**Part (1):** Implement the following function using a "decoder" and a "NOR gate" (5pt). \( f(a, b, c) = \sum m(0, 1, 2, 4) \) **Explanation:** This function is expressed in terms of minterms \( m(0, 1, 2, 4) \), where each number represents a specific combination of the binary variables \( a, b, \) and \( c \) that makes the function true (logic 1). The task is to construct this function using a decoder and a NOR gate. A **decoder** is a combinational circuit that converts binary information from 'n' input lines to a maximum of \( 2^n \) unique output lines. For a 3-variable input (like \( a, b, c \)), a 3-to-8 line decoder would be appropriate. A **NOR gate** is a digital logic gate that outputs true or '1' only when both inputs to it are false or '0'. It is the opposite of an OR gate. In this context, the NOR gate can be used for creating the function by inverting certain outputs of the decoder.
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