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We saw that a half adder could be built using an XOR and an AND gate. A different approach is implemented by the F283 which is a 4-bit full adder so that it can have internal fast carry logic. The logic diagram for the LSB of this device is shown below, except that one or two gates have been removed between the signal W and the signals X and Y. Draw in the missing logic using one or two AND/OR/INV gates to produce the correct sum bit at 21.

We saw that a half adder could be built using an XOR and an AND gate. A different approach is implemented by the F283 which is a 4-bit full adder so that it can have internal fast carry logic. The logic diagram for the LSB of this device is shown below, except that one or two gates have been removed between the signal W and the signals X and Y. Draw in the missing logic using one or two AND/OR/INV gates to produce the correct sum bit at 21.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Problem 2 SP11.2 (Dr. Underwood, Dr. Fish, Dr. Graybill) We saw that a half adder could be built using an XOR and an AND gate. A different approach is implemented by the F283 which is a 4-bit full adder so that it can have internal fast carry logic. The logic diagram for the LSB of this device is shown below, except that one or two gates have been removed between the signal W and the signals X and Y. Draw in the missing logic using one or two AND/OR/INV gates to produce the correct sum bit at 21. HINT: Draw a truth table with the input columns A and B. Make 4 rows for the possible combinations of A and B. B1 A1 Cin- Then add X and Y as output columns and determine their values from the values of A and B. Then add an output column for W. Fill in the desired values of W by considering the values of A and B and the knowledge from Lecture 30 that Σ = A B C = (AB) C. Then once you have the desired values for W, consider W as a function of X and Y. (Write minterms using X, X, Y, and/or Y' for the rows where W = 1.) B 6 5 7 X W Σ1
Transcribed Image Text:Problem 2 SP11.2 (Dr. Underwood, Dr. Fish, Dr. Graybill) We saw that a half adder could be built using an XOR and an AND gate. A different approach is implemented by the F283 which is a 4-bit full adder so that it can have internal fast carry logic. The logic diagram for the LSB of this device is shown below, except that one or two gates have been removed between the signal W and the signals X and Y. Draw in the missing logic using one or two AND/OR/INV gates to produce the correct sum bit at 21. HINT: Draw a truth table with the input columns A and B. Make 4 rows for the possible combinations of A and B. B1 A1 Cin- Then add X and Y as output columns and determine their values from the values of A and B. Then add an output column for W. Fill in the desired values of W by considering the values of A and B and the knowledge from Lecture 30 that Σ = A B C = (AB) C. Then once you have the desired values for W, consider W as a function of X and Y. (Write minterms using X, X, Y, and/or Y' for the rows where W = 1.) B 6 5 7 X W Σ1
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