2- a) Minimize the expression described using Karnaugh map, b) Draw the logic circuit. F(A,B,C,D)1,3,4,5,9,11,15) CD...
Given the following Karnaugh map AB CD 00 01 11 10 01 011 Draw a circuit that realizes the function above using one 8-to-1 multiplexer and any number of NAND gates. Observe that A, B and C are connected to the select inputs, SO, S1, and S2. 4-to-1 MUX -10 12 13 14 15 16 17 So Si S2 ABC
Problem 3. a. Draw a NAND logic diagram that implements the complement of the following function: F(A, B, C, D) = ∑(0,1,2,3,6, 10, 11, 14). b. Use Karnaugh Map to minimize the function F(w, x, y, z) = ∑ (0,2,5,7,8, 10, 12, 13, 14, 15)
ELE 2213 Digital Circuits Assignments Question 10 Use a Karnaugh map to minimize the following SOP expression: BCDTBT ABCD ABCD + AB CD--7 BCD ABCD - ABCD Question 13 Make a combinational logic circuit using a decoder to implement the following two functions: Y1 = AB'C' + A'BC' Y2 = A'BC' + AB'C + A'BC Page 9
I need help with this Logic circuit problem. Problem #2 Given the logic function F(a,b,c) cabctab'c'+a'c'c'tabb' a) Normalize the product terms and write the function again. Answer: F(a,b,c) b) Find a minimal SOP expression using a Karnaugh Map Answer: F(a,b,c) c) Based on the result of the previous part find an expression that minimizes the discrete gate count using gates of any kinod. Answer: Fla,b,c)- d) Find a minimal POS expression using a Karnaugh Map Answer: F(a,b,c)
1. For each of the following logic expressions, complete a Karnaugh map (K-map) and use it to find the minimal logic expression. (a) F= ABC+ BT D+CD + BCD (b) G JKL M+JKLM+7RM +KL+ JLM
Question 2 Draw the k-map, derive the Boolean expression and draw the logic circuit for the following functions a) F= Em(0,2,4,5) – Use 3-variable k-map (10 pts) b) F = Em(0,2,4,5,8,9,10,11) - Use 4-variable k-map (20 pts) c) F= {m(1,2,3,4, 12,13,14,15) – Decide which k - map to be used (20 pts) d) F= Em(0,1,2,3,4,5,6,7) - Decide which k - map to be used (10 pts)
use a karnaugh map to minimize and draw the logic diagram f(w,x,y,z)=w',x',y',z'+wxy'z'+wxyz=w'xyz'+wxyz'
Question 4. (a) Find the minimum sum-of-products expression for each of the functions below using Karnaugh maps i) F = EA,B,C,D(2, 3, 6, 7, 12, 13, 14) (Note: the numbers in the brackets correspond to positions in the Karnaugh map where F takes the logic value 1, ie F = 1 when ABCD = 0010, 0011, 0110, etc). ii) F = []w.x,y,z(0, 2, 6, 7, 8, 14, 15) (Note: the numbers in the brackets correspond to positions in the Karnaugh...
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
F5.2 Construct a Karnaugh map for the logic function: D = ABC + A'BC + ABC' + BC Find the minimum SOP expression. Realize the function using only NAND gates. [15]