a) Finish the following truth table of a 2-to-4 binary decoder with active-high output, whose logic symbol is shown below. Assume that 'x1' is the most significant bit in the input and 'x0' is the least significant bit in the input. x1 zo 2-to-4 Z1 x0 decoder z2 z3 x1 x0 z0 z1 z2 z3 b) Use the 2-to-4 decoder above to implement the logic function F(x1,x0) = (x1+ x0)(x1+x0). You may use an additional logic gate.
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- Q4: For each of the following set of binary numbers, determine the logic states at each point in the logic symbol of 7485 4-bit comparator. a) P3 P2 P1 PO=1100 Q3 Q2 Q1 Q0=1010 b) P3 P2 P1 P0=1001 Q3 Q2 Q1 Q0=1101d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.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.
- 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.)Assume that the exclusive-OR gate has a contamination delay of 10 ns and that the AND or OR gates have a contamination delay of 5 ns. What is the total contamination delay time in the 8-bit adder? Note: your answer should include only the value of the delay without the unit (only the number) A B- Cin- Cout Answer: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.
- Question 3: a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make a 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint: Recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1.)2- A certain application requires that a four-bit binary number be decoder use 74154 decoders to implement the logic.The binary number is represented as A,B,C and D?Q1. Show the implementation of 4 bit binary to gray code (shown in below table) converter using either EPROM or PLA. In Gray code only one bit changes at a time. Binary Gray code Decimal equivalent 0000 0000 1 0001 0001 0010 0011 3 0011 0010 4 0100 0110 5 0101 0111 6. 0110 0101 7 0111 0100 8. 1000 1100 1001 1101 10 1010 1111 11 1011 1110 12 1100 1010 13 1101 1011 14 1110 1001 15 1111 1000
- 2- A certain application requires that a four-bit binary number be decoder use 74154 decoders to implement the logic. The binary number is represented as A,B,C and D?5) below is the accuracy table showing the output values for two separate binary number entries (W and Y) with a length of two bits. Get the simplest form of output functions with the Karnaugh diagram. Draw a logic diagram of the circuit that performs the function of these functions.Describe in detail which functions a, b and C perform for 2-bit binary numbers in the input.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.