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EXPERIMENT 2: Combinational Logic Circuit Design Objectives • To gain experience in combinational logic minimization using the K-map method. • To design and construct and verify a 2-bit combinational multiplier. • To gain further experience in connecting digital logic circuits using a breadboard.

EXPERIMENT 2: Combinational Logic Circuit Design Objectives • To gain experience in combinational logic minimization using the K-map method. • To design and construct and verify a 2-bit combinational multiplier. • To gain further experience in connecting digital logic circuits using a breadboard.

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
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EXPERIMENT 2: Combinational Logic Circuit Design Objectives • To gain experience in combinational logic minimization using the K-map method. • To design and construct and verify a 2-bit combinational multiplier. • To gain further experience in connecting digital logic circuits using a breadboard. Introduction The fastest possible implementation of combinational logic is always given by a two-level stan- dard form (sum-of-products or product of sums). In this experiment, a 2-bit combinational logic multiplier circuit will be designed an tested. The multiplier has two 2-bit binary input (A¡A, and B,Bo) and a 4-bit output (P3P2P¡Po). Note the use of the subscript notation to differentiate the bits of the inputs and output with the most significant bit labelled with subscript 1 and 3 respec- tivey. For example, 3 multiplied by 2 in binary would performed using the 'grade school' shift and add method as: 11 10 00 (0 multiplied by 11 = 00) + 110 0110 (shift a 0, 1 multiplied by 11 = 11) The truth table for the binary multiplier with inputs A¡A, and B,B, and output P3P,P¡Po with the subscript 1 and 3 used for the most significant bit of the input and output respectively is given in Table 1: Table 1: Truth table for binary multiplier (inputs A1A9, B¡B0, and outputs P3P2P¡Po) Output value in A1 Ao BỊ Bo P3 P2 P1 Ро decimal 1 1 1 1 1 1 1 1 1 2
Transcribed Image Text:EXPERIMENT 2: Combinational Logic Circuit Design Objectives • To gain experience in combinational logic minimization using the K-map method. • To design and construct and verify a 2-bit combinational multiplier. • To gain further experience in connecting digital logic circuits using a breadboard. Introduction The fastest possible implementation of combinational logic is always given by a two-level stan- dard form (sum-of-products or product of sums). In this experiment, a 2-bit combinational logic multiplier circuit will be designed an tested. The multiplier has two 2-bit binary input (A¡A, and B,Bo) and a 4-bit output (P3P2P¡Po). Note the use of the subscript notation to differentiate the bits of the inputs and output with the most significant bit labelled with subscript 1 and 3 respec- tivey. For example, 3 multiplied by 2 in binary would performed using the 'grade school' shift and add method as: 11 10 00 (0 multiplied by 11 = 00) + 110 0110 (shift a 0, 1 multiplied by 11 = 11) The truth table for the binary multiplier with inputs A¡A, and B,B, and output P3P,P¡Po with the subscript 1 and 3 used for the most significant bit of the input and output respectively is given in Table 1: Table 1: Truth table for binary multiplier (inputs A1A9, B¡B0, and outputs P3P2P¡Po) Output value in A1 Ao BỊ Bo P3 P2 P1 Ро decimal 1 1 1 1 1 1 1 1 1 2
Table 1: Truth table for binary multiplier (inputs A,A9, B¡B9, and outputs P3P¿P¡Po) Output value in decimal A1 Ao B1 Bo P3 P2 P1 Po 1 1 1 1 1 3 1 |0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 9. • Objectives State in your own words the objectives of the experiment. Two or three concise sentences shall suffice. • Theory Present relevant theory for the experiment. Summarize the salient portion in a few sentences. Include all truth tables listing the theoretical and experimental results, any K-maps, etc. used in the design of the circuits.|| Results/Discussion Discuss the results obtained during the experiment and account for any discrepancies from the expected values.
Transcribed Image Text:Table 1: Truth table for binary multiplier (inputs A,A9, B¡B9, and outputs P3P¿P¡Po) Output value in decimal A1 Ao B1 Bo P3 P2 P1 Po 1 1 1 1 1 3 1 |0 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 9. • Objectives State in your own words the objectives of the experiment. Two or three concise sentences shall suffice. • Theory Present relevant theory for the experiment. Summarize the salient portion in a few sentences. Include all truth tables listing the theoretical and experimental results, any K-maps, etc. used in the design of the circuits.|| Results/Discussion Discuss the results obtained during the experiment and account for any discrepancies from the expected values.
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