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3. For the following circuit: B a. Give the truth table for F. b. Complete the following K-map and use it to give the minimized POS form for F(A,B,C). CIAB 00 01 11 10 C. Use boolean axioms and theorems on POS expression obtained in (b) to get the SOP form. The final SOP expression should have a maximum of two terms. d. Draw the logic circuit for the SOP form.
Question 2 Draw the k-map, derive the Boolean expression and draw the logic circuit for the following functions a) F= Em(0,2,4,5) – Use 3-variable k-map (10 pts) b) F = Em(0,2,4,5,8,9,10,11) - Use 4-variable k-map (20 pts) c) F= {m(1,2,3,4, 12,13,14,15) – Decide which k - map to be used (20 pts) d) F= Em(0,1,2,3,4,5,6,7) - Decide which k - map to be used (10 pts)
Given the following SOP equation. F = Σ (2,4,5,6,10,12,13,14) FEQ= 2- Draw the logic circuit for the unsimplified SOP equation. 3- Using Boolean algebra, simplify the SOP equation (FEQ) and draw the logic circuit for the simplified SOP equation. F = Fill-out the Truth Table and write the unsimplified SOP equation. FEQ FCircuit 11 11
X 1. Determine the truth table for the above circuit. A B C 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 111 2. Determine the Karnaugh Map for the above circuit and do both an SOP minimization (the left KAI) and a POS minimization (the right KM). Write the minimized Boolean expressions below the corresponding Karnaugh Map BC ВС 00 01 11 10 00 01 11 10 0...
Lab -Static Hazards Instructions: 1. Given the following logic F, use K-map to obtain the most simplified sum-of-products. F(A, B, C)-2m (3, 4, 5, 7) 2. Draw the circuit diagram based on the logic equation (the most simplified sum-of-products) obtained from step 1 3. Assuming A input receives a constant "1", C input also receives a constant "1". The initial value of B is "1", B drops to "0" at 20 ns. The propagation delay for all gates (AND, OR,...
1. Use K-maps to reduce each of the following to a minimized SOP form: (a) A + BC + CD (b) ABCD + ABCD + ABCD + ABCD (c) ABCD + CD) + ABCD + CD) + ABCD (d) (AB + ABXCD + CD) (e) AB + AB + CD + CD 2. Use K-maps to find the minimum SOP expression for the logic function shown in the table to the right. Implement the circuit using NAND gates only. Inputs...
Based on this grouping use AND and OR gates, find the minimum circuit to realize a 2-level logic SoP circuit of a b 00 01 11 10 01 00 0 1 11 000 10 0 0 1 4AND&1OR Gates w/ total of 14 inputs 4OR&1AND Gates w/ total of 16 inputs 4AND& 1OR Gates w/ total of 16 inputs 4OR&1 AND Gates w/ total of 14 inputs Based on this grouping use AND and OR gates, find the minimum circuit...
Obtain the simplest SOP and POS for the following logical expression using K-MAP. 8. F(A,B,C,D) = ABD + ABCD
I need help with this Logic circuit problem. Problem #2 Given the logic function F(a,b,c) cabctab'c'+a'c'c'tabb' a) Normalize the product terms and write the function again. Answer: F(a,b,c) b) Find a minimal SOP expression using a Karnaugh Map Answer: F(a,b,c) c) Based on the result of the previous part find an expression that minimizes the discrete gate count using gates of any kinod. Answer: Fla,b,c)- d) Find a minimal POS expression using a Karnaugh Map Answer: F(a,b,c)
les K-Map.pdf A (1,0231707 KB) Practice-5 variable K-Map.pdf A (1.868 MB) Use Karnaugh maps to design lowest cost circuits for the following functions with NOT, AND and OR gates. To find the lowest cost, it is a good idea to check both the SOP form of the circuit and POS form of the circuit and compare their cost to find the lowest cost circuit. Hint: Use Karnaugh maps for both SOP and Pos forms and then obtain the simplified expression...