1- DESIGN THE FOLLOWING CIRCUIT f(A,B,C,D) = Σ m( 0,1,3,4,6,8,9,11,13,15) in NAND implementation?
2- use a K-map to minimize the following standard SOP expressions F(A,B,C)=A.C[B'+B.(B+C')]?
3- use a k-map to minimize the following standard POS expressions F(A,B,C)= A'.(BC+BC')+A,(BC+BC')
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
1- DESIGN THE FOLLOWING CIRCUIT f(A,B,C,D) = Σ m( 0,1,3,4,6,8,9,11,13,15) in NAND implementation? 2- use a...
(18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...
. After drawing the K-map for the sum of minterm expression F(A,B,C,D)=Σ(0,2,3,7,8,10,11,15) (a) Derive a NAND-NAND implementation diagram b) Derive a NOR-NOR implementation diagram c) Derive a NAND-AND implementation diagram (d) Derive a NOR-OR implementation diagram (e) State which of the implementations provided in parts a)-d) is the fastest
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...
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.
Simplify the following Boolean expressions, using four-variable maps. Draw a NAND only implementation of the simplified circuit. F(A,B,C,D) = A′B′C′D + AB′D + A′BC′ + ABCD + AB′C
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...
5. Use the K-map and draw the logic circuit for F as a SOP. A B C F 0 0 0 1 0 10 1 11 1 0 1 1 1 1 1 0 6. Use the K-map and draw the logic circuit for F as a Pos. 11o
digital logic design 1. (15 points) Minimize the following function using the K-map. f(A,B,C,D) = m(0,1,2,5,12,13,14,15) 2. (15 Points) Plot the following function on the K-map and determine the minterm list. f(A,B,C,D) = BCD + ABC + ACD + BCD + ABC
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...