1. Use K-maps to reduce each of the following to a minimized SOP form: (a) A...
Be sure to include the Karnaugh map used for each solution in the Word or PDF file you will submit in Review Quiz Part 2. For the following function: f(A,B,C,D,E) = m(16, 17, 21, 22, 24, 28) + d(0,4,8, 12, 18, 25, 27) (a) Complete the truth table. (16 points) ABCDE 00000 00001 00010 00011 00100 00101 00110 00111 01000 01001 01010 01011 01100 01101 01110 01111 10000 10001 10010 10011 10100 10101 10110 10111 11000 11001 11010 11011 11100...
(c) Use a Karnaugh map to reduce the following 4-variable expression to a minimum SOP form. CD(AB+AB)+CD(AB+AB)+CD(AB+ AB)+ ABCD+ABCD+ACD+ACD (5 marks)
1. Convert the following expressions to standard SOP form (a) BC + DE(BC + DE) (b) BC(CD + CE) (c) B + C[BD + C + DE] 2. Develop a truth table for each of the following standard SOP expressions (a) ABCD + ABCD + ABCD + ABCD (b) WXYZ + WXYZ + WXYZ + WXYZ + WXYZ
Minimize the following function containing don’t cares using K-Maps and design the minimized circuit using NOR gates. F(A,B,C,D,E) = ∏M (0,5,6,9,21,28,31) . ∑d (2,12,13,14,15,25,26)
1. Using a K-map find an optimal simplification of the following function F and don't care conditions d. a) F(A,B,C,D) = m2 + m3 + m4 + m7 + m11; don't cares = m5 + m15 b) G(W,X,Y,Z) = m0 + m2 + mm5 + m7 + m8 + m10 + m13; don't cares = m4 + m6 + m14.
Use K-maps to find MSOP and MPOS expressions for the following incompletely specified functions. (a) f(a,b,c,d) = ∑m(1,5,7,9) + d(6,13) (b) g(a,b,c,d) = ∏M(3,6,8,9,14) · D(1,2,4,7,11,12,13)
1) Implement each side with gates, that is a block diagram/schematic a+(b+c) = (a+b)+c a(b+c) = ab + ac 2) Make a truth table for each of the functions below and identify where each term comes from in the truth table a. F=X’Y+Y’Z’+XYZ b. G=XY+(X’+Z)(Y+Z’) c. H=WX+XY’+WX’Z+XYZ’+W’XY’ 3) For the expression F = A’B’C + ABC + ABC’ How many literals are there ___________ How many terms are there ___________ 4) F(a,b,c,d) = m(0,1,4,7,12) Find the canonical sum (which is...
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
1. (15 pts) Simplify the following Boolean functions using K-maps: a. F(x,y,z) = (1,4,5,6,7) b. F(x, y, z) = (xy + xyz + xyz c. F(A,B,C,D) = 20,2,4,5,6,7,8,10,13,15) d. F(A,B,C,D) = A'B'C'D' + AB'C + B'CD' + ABCD' + BC'D e. F(A,B,C,D,E) = (0,1,4,5,16,17,21,25,29) 2. (12 pts) Consider the combinational logic circuit below and answer the following: a. Derive the Boolean expressions for Fi and F2 as functions of A, B, C, and D. b. List the complete truth table...
Homework 2 EE 2420-Spring 2019 Due: Thursday, 2/21/19 @ 11:59 PM 100 points All homework must be typed or written in neat handwriting and scanned or photographed and submitted in PDF format to TRACS. If we cannot easily read your submission, we will not grade your work. Note that files are only submitted if TRACS indicates a successful submission. All homework answers must be submitted individually in your own words and showing all work; however, I encourage you to work...