Applying DeMorgan's Theorems The following procedure illustrates the application of DeMorgan's theorems and Boolean algebra to the specific expression ABCD(E + F)
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- Solution to all parts or leave it hanging.This is the problem: Consider the Boolean expression (X+Y)(+Z)(Y+Z). Obtain the sum-of-products. Use a K-map to obtain its minimal sum-of-products. The image below is how far I got. Every K-Map exercise I've done so far has always had minterms with the same number of variables, but I came up with this SOP that has 2 and 3 variable minterms; so I don't know if I did something wrong in obtaining the SOP or how I'm supposed to enter the minterms in the K-Map here. X3-) Analyze the circuits below and write the Boolean equation for each Part. Simplify the equation using Boolean algebra and determine if they function as an XOR, XNOR or neither. A): Dor B): XD XD . D
- Problem Solving: Consider the given design below: m7 A D2 m6 m5 3-to-8 B D, m4 Decoder m3 C -Do m2 m1 mo 1. Determine the minterm list of F(A,B,C) 2. Using either Boolean manipulation or k-map, determine the simplified SOP expression for F. (Note: for Boolean manipulation, solution should include used theorems; for k-map, solution should indicate groupings in the k-map) 3. Re-implement function F(A,B,C) using only (not necessarily all) the following: 2 4-to-1 MUX and 22-input OR gate. Write a short explanation on how you arrived at this solution. Note: complemented inputs (A', B', C') are not readily available.simplify the following Boolean function F, together with the don't care conditions d, and implement it with (Can you explain just "I need to explain to my teacher how i could find in the functions A'D and ABD") !!And please can you write it clearly i couldn't read last answer because bad handwriting!please solve number 3
- I need some assistance solving these problems pleasesimplify the following Boolean function F, together with the don't care conditions d, and implement it with (Can you explain just "how you found your function in POS form from karnaugh map. As I know you can write F’ in SOP form and then you can find F which will be in POS form. ")What boolean theorems and postulates were used to obtain this and can you explain each step please A’BC + E (F + D) = (A’BC + E) (A’BC + (F + D)) = (A’B + E) (C + E) (A’BC + F + D) = (A’ + E) (B + E) (C + E) (A’ + F + D) (B + F + D) (C + F + D)
- Digital design techniques, Thank you for your answer in advance.Simplify the following Boolean equations. Show your work and list which axiom or theorem you used in each step. Your final equation should be in minimized sum-of-products(SOP) form. X = (A'B + (C+DE')')(A'B + CD + BDE' + C + B') Please list each therom used line by line.Design a circuit that will tell whether a given month has 31 days init.The month is specified by a 4-bit input A, B, C, and D. For example,if the inputs are 0001, the month is January, and if the inputs are1100, the month is December. The circuit output F should be 1 onlywhen the month specified by the inputs has 30 days in it. Write thesimplified expression, and draw the circuit diagram using aminimum number of gates. (Hint: Remember to take advantage ofdon’t cares.)