5. A) Design the following Boolean function using a 3-to-8 line decoder and an OR gate. F(A,B,C) = AB + BC B) Design a Full Adder circuit of two binary numbers with two bits denoted as A₁40 and B₁ Bo and an input carry C₁ using two 1-bit full adder circuits block diagram and external basic gates. Here output will be sum=$₁50 and output carry Co.
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- Design a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.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.
- Logic Gates:* 7404LS (NOT)* 7408LS (AND)* 7432LS (OR)* 7400LS (NAND)* 7402LS (NOR)* 7486LS (EX-OR)Or you can use 74HCxx versions. Task 2: 4 INPUT PRIORITY ENCODERa) Write the truth table.b) Find the outputs in terms of min terms using minimal expression.c) By using K map, find the simple/simplest expression of theoutputs.d) Draw the circuit diagram. (Simulation design will be accepted.)e) Simulate the circuit & explain your results. (Please do notdesign separate simulations for each output. You should design ONEsimulation including all inputs and outputs.)Design the interfacing circuit shown below and write a program to display single digit (between 0 and 9) prime numbers followed by even numbers, the next odd numbers and repeats in 7-segment displays and its equivalent 8-bit binary value in LEDS. a) When displaying Prime numbers, the first 7-segment display must show "P" and the second 7-segment display must show prime numbers one by one b) When displaying Even numbers, the first 7-segment display must show "E" and the second 7-segment display must show even numbers one by one c) When displaying Odd numbers, the first 7-segment display must show "O" and the second 7-segment display must show even numbers one by oneGrey 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
- 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…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.USE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…
- Procedure: 1. Design an even/odd parity generator for 4-bit data. 2. Design a parity checker circuit for a 4-bit data. 3. Design a logic circuit for a 3-bit message to be transmitted with an even parity bit. 4. Four data bits are to be transmitted. Design a parity bit generator to give an o/p of 'l' if the number of logic l's in the message is: (i) odd; (ii) even.Q2: For BCD code perform the following, with and without complement: 1. 1000010110 is subtracted from 10101000001. 2. 759 be subtracted from 645.How to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.