Karnaugh Map :
The minterms are reprsented using 1's
The don't cares are reprsented using - (hyphen)
The resulting boolean expression is :
F(A, B, C, D) = A'C + B'D + A'B'
Simplify the following Boolean expression by only using k-map F(A,B,C,D) = £ m(0,1,3,7,9,11) + Ed(2,4,6,10)
Simplify the following Boolean function using K-map and implement it using only NAND gates ?(?, ?, ?, ?) = ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?. ?. ?. ? + ?.?.?.? +?.?.?.? + ?.?.?.? + ?.?.?.?
1. Simplify the Boolean function (F(A, B, C, D) = ∏(3,4,6,7,11,12,13.14.15) a) Generate K-Map of F b) Obtain simplified sum-of-products form of F c) Obtain simplified product-of-sums form of F Note: you should show the final prime implicants you used
Plot on a K-map, reduce and write the reduced boolean expression 1.F(A,B,C,D) = ∑m(0,1,3,6,7,11,13,14) 2.F = AB’C’D + A’BCD’ + A’B’CD + A’BCD + A’BCD + A’B’C’D 3. F(W,X,Y,Z) =IIM(4,5,6,8,10,12) * D(1,2,13,15)
I would greatly appreciate it.
1. Simplify each of the following Boolean functions using K-map a. F(a,b,c)={m(0,1,4,5,6,7) c. F(a,b,c)={m(0,1,2,4,5,6) i. F(a,b,c,d)={m(0,2,4,9,11,13,15) iii. F(a,b,c,d)={m(0, 8,10) ii. FV={m(0,1,2,3,6,7, 10,11) iv. F(a,b,c,d)=[m(0,1,8,9,12,13,15) v. Fla,b,c,d)=E(0,1,8,9,4,12,2,10 ) vi. F(a,b,c,d)=(1,4,2,7)
2- D (XYZ XYZ +XYZ a. Simplify F using Boolean algebra. b. Draw the logie diagram of the simplified F, using NOR only gates c. Use the most economical multiplexer to realize F d. Simplify (F+D)L using K-map in sum of products so MUX si -l d-
reduce the following expression using k-map
(c) f(a,b,c,d) = 11 M(1. 2. 3. 4. 9. 15)
Simplify the following Boolean expression using identities. Only
need part C
2. Simplify the following expressions: a. AB AB +AB b. АВС + АВС + АВС + АВС + АВС c. ABC ABC+ABC ABC+ABC
Given the following circuit with the variable inputs, derive the Boolean expression, simplify the expression using a Karnaugh map and Write the VHDL code. [10] F THE END
Simplify the following function using a K-Map: F(A, B. C, D) = AC'D' + A'C+BC' +CD+A’BD'
5. Simplify the following Boolean funct e following Boolean function by means of a four-variable K-map. Show your map and groups and write the simplest equation using proper variable names. F(W,X,Y,Z) = m (0, 1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14)