Using four 3x8 decoders with enable, one 2x4 decoder without enable, and any number of 2-input OR gates necessary, construct a 5x32 decoder to implement the function below. F (a, b, c, d, e) = ∑1,3,4,6,7,9,10,11,14,16,17,19,21,22,29,30

Using four 3x8 decoders with enable, one 2x4 decoder without enable, and any number of 2-input OR gates necessary, construct a 5x32 decoder to implement the function below. F (a, b, c, d, e) = ∑1,3,4,6,7,9,10,11,14,16,17,19,21,22,29,30

Electric Motor Control

10th Edition

ISBN:9781133702818

Author:Herman

Publisher:Herman

Chapter22: Sequence Control

Section: Chapter Questions

Problem 6SQ: Draw a symbol for a solid-state logic element AND.

See similar textbooks

Similar questions

3- A-) Implement the Boolean function (F) with a 4 X1 multiplexer and two-input-NOR gates. Connect inputs A and B to the selection lines. The input requirement for the four data lines will be a function of variables C and D. These values are obtained by expressing F as a function of C and D for each of the four cases when AB = 00, 01 ,10 and 11. B-) Implement the Boolean function with a 8 X 1 multiplexer. Connect inputs A,B and C to selection lines. F(A, B, С, D) - 2 (1, 3, 5, 9, 10, 14, 15) А So В S1 4 x 1 MUX 1 Y F 2 3
Grey converters are often used in industrial circuits where the normal sequence of binary numbers may produce ambiguity during transition. This is elliminated with the Grey code, as only one bit changes, during a normal transition of sequential numbers. Show the logic required to convert a 10-bit binary number to Gray code and use that logic to convert the following to Gray code: a) 1010101010 b) 1111100000 c) 0000001110 d) 1111111111
1. Gray code to Binary converter: Gray code is one of the codes used in digital systems. It has the advantage over binary numbers that only one bit in the code word changes when going from one number to the next. (See Table 1). Design a combinational circuit with 4 inputs and 4 outputs that converts a four- bit gray code number into an equivalent four-bit Binary number. Use Karnaugh map technique for simplification. Use LogicWorks for pre-lab demonstrations. Select the library "7400dev.clf* in the Parts Palette and then select the XOR chip 74-86. This would give you a set of 4 XOR's as shown in Fig. 1, just like the hardware chip 74-86. You could use as many as needed from these XOR gates in your design. Get back to ALL LIBRARIES and select switches for the inputs and Binary Probes as indicators of the outputs. Verify your design in the pre-Lab. During the Lab construct the circuit and verify its operations.
Define which type of Mux best fits the function and use all the combinational logic that is required, design a minimal implementation for the following logical function of a multiplexer. The Mux selection lines should be A, B, and C. Include the entire procedure, Karnaugh maps, and truth tables until you reach the map that implements the solution. Include the final schematic diagram. (See image).
DECODER 03 04 Os 06 07. 08. 09 GND 74LS42D The above figure is a 74LS42D decoder, we can implement a Boolean expression from above figure by: Which of the following? O Get the maxterms of Boolean expression, then each maxterms is combined using AND gates. O Get the mintermof Boolean expression and each minterm is combined using AND gates. O Get the maxterm of Boolean expression and each maxterm is combined using OR gates. O Get the minterms of Boolean expression, then each minterms is combined using
Let A = ajao and B = b¡bo be two-bit binary numbers. A and B can take on values from 0 to 3 (for example, A = 2 when a1ao = 10. Let C be a two bit binary number whose value equals the magnitude of the difference A – B. We have C = c1c0 = |A – B|. (This means that if B is larger than A then you consider B-A.) You are to design a circuit which accepts A and B (i.e., a¡ aob¡bo) as inputs and outputs the result C = c¡c0. The circuit thus has four inputs and two outputs. For example, the circuit should output c1co = 10 when ajao = 01 and bibo = 11 (C = 2 when A = 1 and B = 3). - Your pre-lab needs to include all items requested in the following steps (plus those requested in the pre-lab handout): 1. After reading through the complete lab, write a description of the expected behavior of the system you will design. 2. Draw a truth table describing the behavior of the circuit. The truth table should show the inputs: aj aobibo (in this order) and the outputs: c1Co · 3. Write the canonical SOP…
Draw a dataflow circuit using block components that lets you add or subtract two input numbers in all possible ways. Your circuit will have two inputs X, Y and one output Out. You’ll have an adder and you’ll need to use multiplexers on each input to the adder. Clearly specify the number and type of control bits needed.
Construct the circuit as shown below. Apply the 4-bit BCD digits through four switches and observe the decimal from 0 to 9. Input 1010 through 1111 have no meaning in BCD depending on the decoder, These values may cause either a black or a meaningless pattern of the six unused input conditions. What can you conclude from your answer?
A logic function is expressed by the equation = 0.1.8.9.4. Plot the the values on the K-map below Note: w is the msb (most significant bit) 3 x 10 0- - W X 1 00 01 Write the simplified Sum of Products (SOP) expression. Use yz WIM or "" for NOT; 11 10 for AND; "+" for OR (without the quotation marks.
1. Implement the following Boolean function by using 4x1 multiplexer. F(A,B, C, D) = Em(1,3,5,6,8,11,14) 2. Construct a logical circuit of 64 x 1 multiplexer using 4 × 1 multiplexer. 3. Construct a priority encoder circuit of 8x3. 4. Design a 4-bit BCD to Gray Code Converter by using Programmable Array logic.
Describe the function of a decoder circuit. identify the types and quantity of gates needed to implement a 3-to-8 decoder; either create (or give the location in the text) of a logic diagram of a decoder circuit A decoder is a circuit that changes a input code into a set of signals. It is just the reverse process of encoding, A common type of decoder is a binary decoder, which is a combinational logic circuit that converts binary information from the n coded inputs to a maximum of 2n unique outputs. It takes a binary input, usually in a coded form, and produces a one-bit output, on each of a number of output lines. The logic state (1 or 0) on any of the output lines depends on a particular code appearing on the input lines. Binary decoders are used in a wide variety of applications, including data demultiplexing, seven segment displays, and memory address decoding. If we want to buy a 1 of 8 decoder/ demultiplexer, please give the…
Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W X Y Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'C