Question

(3) Use K-map to simplify the following expressions, and implement them with two-level NAND gate circuits:...

(3) Use K-map to simplify the following expressions, and implement them with two-level NAND gate circuits:

(a) F(A,B,C,D)=A’B’C+AC’+ACD+ACD’+A’B’D’

(b) F(A,B,C)=(A’+B’+C’)(A’+B’)(A’+C’)

Homework Answers

Answer #1

I am providing hand written solution:

Here,we used de-morgan's law and k-map to simplify and then NAND gates to build the expression.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) Implement the following Boolean function F using the two-level forms: AND-NOR and OR-NAND , F...
(a) Implement the following Boolean function F using the two-level forms: AND-NOR and OR-NAND , F = B'D'+ AC'D'+ACD+A'CD' (b) Convert the above problem into standard POS, expression using the truth table and minimize using K-map. (c) Design a combinational circuit with four inputs and one output. The Algebraic expression must be minimized using K-MAP. The output must be one for the digits which are present in your Roll Number Digits. Any duplications must be avoided.
Expand the following expression into minterms and then simplify it using K-map. F(A,B,C,D) = BC'D' +...
Expand the following expression into minterms and then simplify it using K-map. F(A,B,C,D) = BC'D' + A'C'D + ACD + BCD + A'BD
Using K-map to simplify the following Boolean function: F(A,B,C,D) = m(1,3,5,6,7,9,11,12,13,15)
Using K-map to simplify the following Boolean function: F(A,B,C,D) = m(1,3,5,6,7,9,11,12,13,15)
Using K-map to simplify the following Boolean function: F(A,B,C,D) = å m(1,3,5,6,7,9,11,12,13,15)
Using K-map to simplify the following Boolean function: F(A,B,C,D) = å m(1,3,5,6,7,9,11,12,13,15)
simplify the following boolean expresions by use of k map a'b' + bc + a'bc' p'qr...
simplify the following boolean expresions by use of k map a'b' + bc + a'bc' p'qr + pq'r' + pq'r xy' + x'y
ENGR Logical Circuits How many PROM AND array rows do you use to implement the following...
ENGR Logical Circuits How many PROM AND array rows do you use to implement the following function? F1(A,B,C,D,E) = A'BCDE' + AC'D'E' + BCD'E
VIVA QUESTIONS: 1. Implement the following function using VHDL coding. (Try to minimize if you can)....
VIVA QUESTIONS: 1. Implement the following function using VHDL coding. (Try to minimize if you can). F(A,B,C,D)=(A'+B+C). (A+B'+D'). (B+C'+D') . (A+B+C+D) 2. What will be the no. of rows in the truth table of N variables? 3. What are the advantages of VHDL? 4. Design Ex-OR gate using behavioral model? 5. Implement the following function using VHDL code f=AB+CD. 6. What are the differences between half adder and full adder? 7. What are the advantages of minimizing the logical expressions?...
Logic Circuit Problem #3 Given the following logic function: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh...
Logic Circuit Problem #3 Given the following logic function: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh Map to, a) Find a minimal SOP expression Answer: F(a,b,c,d) = b) Find a minimal POS expression Answer: F(a,b,c,d) = Problem #4 Implement the function F(a,b,c,d) given in problem #3 using two 3-to-8 decoders, both active low enabled and active low output. F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8) Answer: Problem #5 Implement the function in the previous problem: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8), using a single 4...
Simplify the following Boolean functions, using K-maps. Find all the prime implicants, and determine which are...
Simplify the following Boolean functions, using K-maps. Find all the prime implicants, and determine which are essential: (a) F (w, x, y, z) = ? (1, 4, 5, 6, 12, 14, 15) (b) F (A, B, C, D) = ? (2, 3, 6, 7, 12, 13, 14) (c) F (w, x, y, z) = ? (1, 3, 4, 5, 6, 7, 9, 11, 13, 15)
#9) You are to implement the following function F(A,B,C,D,E,F) which outputs a 1 whenever the binary...
#9) You are to implement the following function F(A,B,C,D,E,F) which outputs a 1 whenever the binary number represented by ABCDE is ODD and 0 otherwise. A is the MSB and E is the LSB. Draw the function F(A,B,C,D,E,F) and show the work that led you to that answer. Since I am not so sadistic as to have you draw the truth table of a 6 variable function and draw the K-map of such a function, you should realize, as a...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT