Z=ABC+AB'C+AB'C'+A'B'C
=AC+AB'C'+A'B'C
=A(C+B'C')+A'B'C
=A(C+B')+A'B'C
=AC+AB'+A'B'C
=AC+B'(A+A'C)=AC+B'(A+C)=AC+B'A+B'C
Option A: Simplifies to (A+B')C=Ac+B'C
Option C: Simplifies to AB'C'+B'C+AC=AC+B'(C+AC')=AC+B'C+B'A
Option D: Simplifies to AC+B'C+AB'
Hence option C is correct
computing in Math Consider the following truth table with input variables A, B and C: A...
Given the following truth table, where X, Y, and Z are input and
W is output, write the canonical expression and generate gate-level
logical circuit (draw the wire diagram).
Given the following truth table, where X, Y, and Z are input and W is output, write the canonical expression and generate gate-level logical circuit (draw the wire diagram). 0 01 0 0 100O 0 110 (0
Create a truth table for a 4-bit input where the output will be a 1, if it the bit pattern is divisible by 2, and/or 5. Assume that ABCD represent the most significant to least significant bits of a binary pattern. A sample is shown below. Generate the gate-level logic circuit, using the implementation algorithm we discussed in lecture. Use Logisim to create the circuit. A B C D Z (Output) 0 0 1 0 1 …..
9. (Expression Truth Table) Determine the truth table for the three-input XOR function y = 11 12 13. You may first evaluate i n and then evaluate y as y=( 12) 13. In the truth table, besides the columns for 11.12.13 and y, also include a column corresponding to I 1. Also use a word statement to describe this logic function and indicate a possible application of the function 10. (Expression Circuit) Draw a circuit schematic which realizes the logic...
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...
with explanation please
.5 What is the truth table of the following circuit? What is a simpler circuit which has the same truth table? .6 Design a circuit which has the truth table: Inputs Output 1 1 1 0 1 0 1 1 0 0 1 .7 Design a circuit which has the truth table: Inputs Output 1 1 1 7 o 0 0 1 0 0 1
2. Given push buttons (A and B), coil relays (CR1 and CR2) and LED Light indicator, a) complete the truth table for the following relay logic circuit, and then b) complete a truth table for the same circuit, but when relay coil 2 failed open: (10pts) し2 CR1 CR2 CR1 CR2 Indicator True Table (Good Circuit) Output True Table (With Fault) B Output 0 0 0 0 1 0 0
2. Given push buttons (A and B), coil relays (CR1...
Problem 6: Find the simplest expression for z = f(A,B,C,D) assuming z is described by the following Truth Table. Draw a logic circuit to implement the function. input output A B cor 0 0 0 0 0001 0 0 0 |0|1|1 d 0 |1|0|0 0 11011 0 110 0 111 100 | 1 0|1|00 1 0 110 1 110101 1 1 0 1 1
The truth table is given as: A B C Output 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0.1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 a) Transfer the contents of the above truth table to the Karnaugh map. b) Write the Boolean expression/ function and its simplest form by using! Karnaugh map.
The following is a truth table of a 3-input, 4-output combinational circuit. Using K- maps obtain the expressions for W, X, Y and Z. Implement using a PAL. Inputs Outputs ΙΑ B С W X Y Z 10 0 0 0 1 10 0 10 0 1 1 1 1 1 10 1 0 1 10 1 1 10 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1...
(a) Write a truth table. The input is 4-bit binary ABCD, A is
MSB, D is LSB. The output is also represented by x.
(b) Obtain an output expression in the form of a SOP.
(c) Use Boolean Algebra to design a circuit consisting of only
four inverters, four 3-input and gate, and one 4-input OR gate
using the simplified and simplified expression obtained in (b).
4-6. The Excess-3 coding system is a four-bit digital coding system for encoding all...