Design a 4-bit binary adder using full adders. Explain how a full adder can be built using two half adders and an OR gate. Draw the circuit and describe the role of each component.
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Design a 4-bit binary adder using full adders.
Explain how a full adder can be built using two half adders and an OR gate. Draw the circuit and describe the role of each component.
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- Design a four-bit subtractor circuit using full adders and XOR gates. Draw the block diagram of a four-bit binary adder using full adders. Label the carry-in, sum, and carry-out bits.Design a circuit that will multiply BCD ( Binary Coded Deciamal code) numbers which are between 0-9 with 10 (ten). Use an inverting output (4-10) Decoder. (Note: if input is 3 in BCD, output must be 3x10=30 in BCD)Design 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.
- Design a 16 bit adder/subtractor with 2 data inputs (B15 to B0 and A15 to A0), a SEL input (1 if add and 0 if subtract), and a result output (R15 to R0).You can design the circuit in MultiSim, VHDL, or LabVIEW. PLEAE USE MULTISIMQ3. Write the difference between and draw the block diagram of the following:-• Half Adder and Half subtractor • Full Adder and Full Subtractor.• Encoder and Decoder• Multiplexer and Demultiplexer• Comparator and EX-NOR gate2. Design and implement a combinational circuit that adds three bits (x,y, and z) and returns the sum S and carry C.
- 2. Using a multiplexer, design a circuit which its output is one if the majority of its input is one; otherwise, its output should be a zero. NOTE: You should use a block diagrams for the multiplexer, but clearly show the input and output lines.Draw a circuit diagram of 4 bit full adder and full subtractor.Design a 1-bit adder, using AND, OR and NOT gates, using equations for the Sum and Carry-out(see notes). The Adder will have two circuits. One circuit will produce the Sum and the other the Carry-out. Design each separately. The equation for the Sum is: Sum = X’Y’Carry-in + X’YCarry-in’ + XY’Carry-in’+ XYCarry-in You will have to generate the equation for the Carry-out from the Truth Table given in the lecture notes. It is similar to the Sum equation. Validate your Carry-out design by applying the range of all input values i.e. 000 to 111 and displaying the output. Screen Capture the output response for each input and include them in your submission.
- Design a circuit that converts from binary to gray code.Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. i) Provide a Truth Table of the circuit operation. ii) Derive a Boolean Expression for the circuit using a Karnaugh Map. ii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Your answer should include a Truth Table and a circuit diagram. Use a block diagram for the multiplexer.Design a circuit that will add 3-bits input of A and B.