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4) design truth table, POS, circuit and simplify form 6 Sum Terms PT D'.C.B.A' D'.C.B.A. D'.C.B.A'...
1) Design truth table, POS/SOP, circuit and simplify form. (only do the highlighted one) 1 Sum Term ST a D + C+ B + A D +C+ B+ A 1 1 D +C+ B' + A D + C+ B'+ A' D + C'+ B A D+C' B+A' 1 0 1 D +C'B'A 1 D+C'+B'+ A' 1 D'+C+ B+A 1 1 D'C+B+A' 2 Sum Terms 8 Product Terms
5) Design truth table, POS/SOP, circuit and simplify form. (only do the highlighted one) 5 Sum Term е ST D+C+ B+ A 1 0 D +C+B+ A D+C+B'+ A D+C+B'+ A 1 0 0 D+C+ B+A 0 D+ C'+ B + A D+C'+B'+A 1 D+C+B'+ A D' +C+B+A 0 1 D'+ C+ B A 7 Sum Terms 3 Product Terms
7) Design truth table, POS/SOP, circuit and simplify form. (only do the highlighted one) oloa 1 Sum Term ST D + C + B +A D + C + B + A D + C + B'+ A D + C + B' + A' D + C' + B + A D + C' + B + A' D + C + B'+ A D + C + B' + A D' + C + B + A D'...
Solve the following problems: 1.(4 points) Design the simplest sum-of-products circuit that implements the function Write the truth table, canonical SOP form, minimal form, and cost. 2.(4 points) Design the simplest product-of-sums circuit that implements the function f(x1, X2, X3 ) = II M(2,3,6). Write the truth table, canonical POS form, minimal form, and cost. 3.(2 point) Design a circuit that implements the simplest sum-of-products circuit that implements the function ing only NAND gates. Show all work, including logic networks.
Simplify this expression down to three terms in product of sum (POS). F = (B + C + D) (A + B + C) (A’ + C + D) (B’ + C’ + D’)
12. Simplify the given function in the Truth Table to POS. X у Z w 0 0 o 0 10 0 1 1 O 1 O 1 O 1 1 O 1 0 O O 1 0 1 0 1 1 0 1 1 1 1 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.
1. Find the Boolean expression of the truth table. Then simplify it and convert it into the least amount of logic gates possible. AB Output 100 011 101 2. Find the POS form of the Boolean expressions below. Find the truth table and logic minimization method of it. Show its gate level implementation, and show the same gate level implementation using only NAND gates. A(X,Y,Z)= m(0,2,4,6) B(X,Y,2)={m(0,4,5) 3. Create a J-k Flip Flop using a D-Flip Flop. Show its truth...
Question 4 (6 points) Part A. Write a truth table such that the output of a logic circuit is true if and only if its 3-bit input contains at least two l's. Part B. Derive a logic expression from the truth table obtained in Part A using the sum-of-products implementation Part C. Simplify the logic expression obtained in Part B with a Kamaugh Map. (2 points) (2 points) 2 points)
with explanation please .5 What is the truth table of the following circuit? What is a simpler circuit which has the same truth table? .6 Design a circuit which has the truth table: Inputs Output 1 1 1 0 1 0 1 1 0 0 1 .7 Design a circuit which has the truth table: Inputs Output 1 1 1 7 o 0 0 1 0 0 1