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3. The function of 3 variables is specified as a sum of minterms: F (A, B, C) = Σ(0, 1, 3, 4, 5). 3a) Specify the function F as a product of Maxterms. 3b) Specify the complement to the function as a sum of minterms (for F'). 3c) Obtain the schematics for the following implementations of function F: 3c1) with a 3-to-8 decoder with active-high outputs and a single 3-input logic gate. 3c2) with a 3-to-8 decoder with active-low outputs and a single 3-input logic gate. The available gates are OR3, NOR3, AND3, and NAND3. Denote the decoder inputs with A2 (for MSB), A1, AO (for LSB). Assign the variables A, B, C to the decoder inputs. The decoder outputs should be denoted with decimal digits from 0 to 7 which represent minterm or Maxterm numbers in accordance with the decoder output type.

3. The function of 3 variables is specified as a sum of minterms: F (A, B, C) = Σ(0, 1, 3, 4, 5). 3a) Specify the function F as a product of Maxterms. 3b) Specify the complement to the function as a sum of minterms (for F'). 3c) Obtain the schematics for the following implementations of function F: 3c1) with a 3-to-8 decoder with active-high outputs and a single 3-input logic gate. 3c2) with a 3-to-8 decoder with active-low outputs and a single 3-input logic gate. The available gates are OR3, NOR3, AND3, and NAND3. Denote the decoder inputs with A2 (for MSB), A1, AO (for LSB). Assign the variables A, B, C to the decoder inputs. The decoder outputs should be denoted with decimal digits from 0 to 7 which represent minterm or Maxterm numbers in accordance with the decoder output type.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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3. The function of 3 variables is specified as a sum of minterms: F (A, B, C) = (0, 1, 3, 4, 5). 3a) Specify the function F as a product of Maxterms. 3b) Specify the complement to the function as a sum of minterms (for F'). 3c) Obtain the schematics for the following implementations of function F: 3c1) with a 3-to-8 decoder with active-high outputs and a single 3-input logic gate. 3c2) with a 3-to-8 decoder with active-low outputs and a single 3-input logic gate. The available gates are OR3, NOR3, AND3, and NAND3. Denote the decoder inputs with A2 (for MSB), A1, AO (for LSB). Assign the variables A, B, C to the decoder inputs. The decoder outputs should be denoted with decimal digits from 0 to 7 which represent minterm or Maxterm numbers in accordance with the decoder output type.
Transcribed Image Text:3. The function of 3 variables is specified as a sum of minterms: F (A, B, C) = (0, 1, 3, 4, 5). 3a) Specify the function F as a product of Maxterms. 3b) Specify the complement to the function as a sum of minterms (for F'). 3c) Obtain the schematics for the following implementations of function F: 3c1) with a 3-to-8 decoder with active-high outputs and a single 3-input logic gate. 3c2) with a 3-to-8 decoder with active-low outputs and a single 3-input logic gate. The available gates are OR3, NOR3, AND3, and NAND3. Denote the decoder inputs with A2 (for MSB), A1, AO (for LSB). Assign the variables A, B, C to the decoder inputs. The decoder outputs should be denoted with decimal digits from 0 to 7 which represent minterm or Maxterm numbers in accordance with the decoder output type.
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