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Homework: Implement Decoders and Circuit Diagrams for Adders and Multipliers

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This homework assignment due on May 28, 2014, requires the implementation of several functions using different types of decoders. You will create a 3-to-8 line decoder with OR gates and an active-low version with NAND gates, as well as a 1-to-2 line decoder with NOR gates using decoder trees. Additionally, you will implement functions using a 4-to-16 line decoder with NOR gates, an active-low 4-to-16 decoder with AND gates, and a 3-to-8 active-low decoder with NAND gates. Lastly, you’ll draw circuit diagrams for various adder configurations and a 6x3 multiplier using full-adder modules.

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Homework: Implement Decoders and Circuit Diagrams for Adders and Multipliers

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  1. Homework 2 Due 28thMay 2014

  2. Implement This Function using a 3-to-8 Line Decoder (with OR gates) a 3-to-8 Line Active Low Decoder (with NAND gates) only 1-to-2 Line Decoders (with NOR gates) Note: For 3you’ll have to use Decoder Trees Marks = 3 + 4 + 5

  3. F = A’B + ACD Implement This Function using a 4-to-16 Line Decoder (with NOR gates) a 4-to-16 Line Active Low Decoder (with AND gates) only 3-to-8 Line Active Low Decoders (with NAND gates) Note: For 3 you’ll have to use Decoder Trees Marks = 3 + 4 + 5

  4. 1) Draw the circuit diagram of an adder that adds two 8-bit numbers by cascading Adder modules that add two 2-bit numbers 2) Draw the circuit diagram of an adder that adds two 9-bit number using the following Addition modules a. two Full-Adders b. one 3-bit adder c. one 4-bit adder 2) Draw the circuit diagram of 6x3 Multiplier using Full-Adder modules Marks = 4 + 5 + 7

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