Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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- 1. Using Boolean algebra to simplify the following expressions. Then find the truth table of each after connecting the circuits. a. F A B+A (B+C) + B (B+C) b. F (A+B+A B) (A+B) c. F (A B) e (B C) d. F, (AO B) (BO C) %3D %3D %3!arrow_forwardPlease use proper syntax and formatting for Discrete Mathematicsarrow_forwardGiven the truth table of a set of digital circuits with four inputs (a,b,c and d) and three outputs (F, G and H). a) Use K-map to simplify the expression for output F only and write down the logic expression in POS. Implement the circuit using only NOR gates only. d) Implement the circuits for all three outputs (F, G and H) using the three 4:1 muxes. No. 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Input abcd F 0000 0001 0010 0011 0100 0101 0110 1 1 1001 Outputs G H 1010 6LOHOO 0 0 0 1110 1 0 1111 XOH 0111 X X lo 0 1 0 1 H OHXOHOXH 1000 0 X 0 1 1 X 0 1 OOHXHOXOOXHHOHO 0 1100 1 X 0 1101 0 0 1011 0 1 1 1 0 1 1 1 0arrow_forward
- Answer asap Req Complete labeled truth table Canonical POS form of the expression Grouped K-Map Minimum POS expressionarrow_forwardUsing Boolean algebra theorems, simplify the logic expression above as far as possible. Create a Circuit Diagram for the new expression Then create a truthtable for the simplified circuitarrow_forwardDetermine the function F implemented by the following circuit as a Boolean expression. Note that there are many forms and simplifications for F. Write down the one which most directly expresses the function of this circuit. Do not simplify.arrow_forward
- combinational circuit with three inputs y f Question: Derive and simplify the Boolean expression for the circuitarrow_forwardHelpppparrow_forwardO Design a 5-input circuit, that produces a one when numbers (4,5,6,7,12,13,14,15) are detected. Make use of the SOP technique to write the Boolean equation. Simplify the resulting Boolean equation using the laws and theorems of Boolean algebra. Translate the simplified equation into a Circuit Diagram.arrow_forward
- Design a 2bit Comparator. Requirement: Truth table, solve the outputs using k-maps and Boolean algebra. Draw the circuit for the final expressions. (Show your work) Hint: 2-bit comparator has 2 inputs and 3 outputs(greater than, less than, and equal)arrow_forwardFor the Boolean function F1(AB,C)=Em0,2,3,4,6+d(7) do the following: a) Draw a truth table. b) Find minimal SOP expression for Boolean function F1 using K-map. c) Draw a circuit diagram.arrow_forward
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