Design a binary multiplier using full adders and AND gates. (10 points)
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- Design a binary multiplier using full adders and AND gates. (10 points)
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- Decoders (3 x 8 decoders) This is also called BCD-seven- D,'y't segment decoders Dy ='yz D=y't Final Activity 2: 3. Using the logic circuit given (Figure 4.8), provide the truth table Dsyt FIGURE 4.18 Three-to eight-line decoderDesign of a one-bit full-adder: 1). Draw the truth table (ABCin=000~111) of a one-bit full adder. 2). Based on truth table, draw the Karnaugh maps for Cout and Sum separately, find the simplified Boolean equations for Cout and Sum. 3). Sketch the gate level design of the circuit based on the Boolean equations you obtained. 4). Using Shannon’s expansion theorem, expand both Cout and Sum with respect to Cin. List your equations of Shannon expansion for Cout and Sum. Based on Shannon’s expansion, implement the full adder (Both Cout and Sum) with 2-to-1 MUX (using Cin as selection bit). Sketch your MUX-based design.1. Explain how basic gates can be realized by NAND gates. Give an example2. Explain how basic gates can be realized by NOR gates. Give an example.
- Design a 3 bit parity generator circuit such that the number of 1s in the data is always odd. Include block diagram, truth table and its corresponding circuit diagramDesign a Full adder using 3x8 line decoder IC. Hint: IC Number (7447) Circuit Truth Table Conclusion(3) Using full-adders, design a circuit that adds two 2-bit numbers.
- (a) Show how 4 one bit full adder can be configured to perform ADD, SUBTRACT, AND and OR operation of two 4-bit number. Show the construction of the circuit using the above full adders and other basic gates.Computer Science Design a circuit using a decoder and basic gates that can detect an error in the representation of 4-bit binary data in BCD. (solve it in 30 min)Explain the two bits full adder circuit in essay form below Note: Do not send solution, paragraph form only