A |
B |
C |
D |
Y |
0 |
0 |
0 |
0 |
X |
0 |
0 |
0 |
1 |
X |
0 |
0 |
1 |
0 |
X |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
X |
0 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
X |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
0 |
1 |
0 |
1 |
0 |
X |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
0 |
X |
1 |
1 |
1 |
1 |
1 |
Find a minimal Boolean equation for the following truth table. (x indicates a value that you...
1.Show the circuit for the truth table shown above 2.Extract the Boolean equation to describe the circuit you found. Don’t simplify it yet!!! 3,Reduce the Boolean equation to its simplest form. Cite any Boolean identities used 4.Draw the logic circuit corresponding to the simplified expression and its truth table. BC z 0 0 1 ololo 1 0 0 0 0 1 10 110
0 0 0 0 (a) Write the Boolean equation for the output X of the truth table above (b) By using K-map, determine the expression of X in the form of product-of-sum and sum of-product. (c) Draw the logic circuits representing the expression of X in the form of product-of-sum and sum-of-product. Determine which configuration gives the lowest cost solution.
A combination circuit is specified by the following Boolean functions listed below. h(a, b, c) = b,c' + a'c Implement the circuit with a 3x8 decoder. Provide truth table and drawing the logic/circuit diagram. Use the block diagram for the decoder provided in Figure A4 in supplements. Please label the inputs and outputs clearly. Note: use single 3x8 decoder Question 2 (15 points] A priority encoder is an encoder circuit that includes the Truth Table of a priority function. The...
Hi, please convert the following truth table to Boolean equation, please simply as much as possible and show each stage step by step. Thanks, Z E 0 E 1 CD CD 00 01 11 10|00 01 11 10 X 00 01 AB 11 X 10 X. Please note X can be either zero or one. Will the empty signifies Zero
(1)Try to use NAND gates to achieve the truth table function of an XOR gate (2) Try to design a clicker for three people, it just needs two people to agree to pass. A,B,C indicate the people, 0 means don't agree, 1 means agree. If it passes the result is 1. Please write the truth table, the SOP (sum of products) equation and draw the logic circuit for it. (3)Use a Karnaugh-map to simplify the following Boolean function: F= AB'C'+A'B'C'+AB'C+A'B'C+AB...
Derive the Boolean expression of a combination logic from the following truth table, where A, B, C are input variables and D is output. Draw the circuit diagram to implement it. Show your working steps. The full subtractor is a combinational circuit, which is used to perform subtraction of three input bits: the minuend X, subtrahend Y, and borrow in B_in. The full subtractor generates two outputs bits: the difference D and borrow out B_out. B_in is set when the...
13. Consider the following Truth Table, Boolean Equation, and K-map. Would you change anything? 5 pts AB 11 10 0 ABCABC ABC ABC 1ABC ABC ABC ABc 00 01 Truth Table K-Map A B CY AB 01 10 10 1 0 0 00 01 11 10 0 0 10 0 1 01 0 1 11 1 0 0 0 1 0 10 Y = AB + BC
Find the Boolean function that satisfies the following truth table. 1 1 1 1 y z F(x, y, z) 1 0 1 0 01 1 0 0 0 1 1 0 010 001 0 0 00 1 1 1
4) (10 Points) Given the following truth table, derive the simplified Boolean equation in SOP form. Use a K-map. с 0 0 D 0 B 0 0 0 0 1 1 A 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 z 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 0...
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...