3) Design a combinational circuit that converts a four-bit Gray code to a four bit binary number.
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- 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.DFF circuit that adds the one-bit numbers a and b in series. Design according to the Mealy model a)state diagram b)state table c)simplification with Karnaugh mapsConvert D216 to binary. Now, treating the number as an 8-bit two's-complement number, convert to decimal (base-10).
- 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) 1111111111Excess-3 code is significant for arithmetic operations as it overcomes shortcoming encountered while using 8421 BCD code to add two decimal digits whose sum exceeds 9. Excess-3 arithmetic uses different algorithm than normal non-biased BCD or binary positional number system. An electronics company has hired your services to design a code converter that converts Binary Coded Decimal (BCD) code for it. Design the converter.The four inputs to a circuit (A, B, C, D) represent an 8-4-2-1 binary-coded-decimal digit. Design the circuit so that the output (Z) is 1 iff the decimal number repre- sented by the inputs is exactly divisible by 3. Assume that only valid BCD digits occur as inputs.
- 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.Consider two 8-bit inputs, A = $52 and B = $C3 to the arithmetic and logic unit (ALU). Compute R =A + B. Express R in the hexadecimal form $-- : -61 Express N-Z-V-C bits in the form ----:Design a binary multiplier that multiplies two 8-bit binary number by following design rules thatshown in class. The Q and B are the two separate 8-bit binary inputs, C is the 3-bit sequence counterand R is the 16-bit result. (Note: Explain the registers that you will use to establish given process.) The steps are writing algorithm Drawing circuit undetailed (Just use the box, which have only writin under that their functions) Draw logic circuits one by one showing the internal structure of the boxes. Mahe flow chards for registers
- Adders are digital circuits in electronics that implement addition of binary numbers. Given two numbers A= 01111100 and B = 01011010, use the concept of ripple carry adders to find A+B. Using an illustration, explain in detail how the full adders are joined together to carry out the addition of these 8-bit numbers.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.Derive the circuits for a three-bit parity generator and a four-bit parity checker using an odd-parity bit.