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 of a One-Bit Full-Adder:**1. **Draw the Truth Table:** - Consider inputs A, B, and Cin (where Cin ranges from 000 to 111) for a one-bit full adder.2. **Karnaugh Maps:** - Based on the truth table, draw Karnaugh maps for Cout (carry out) and Sum separately. - Determine the simplified Boolean equations for Cout and Sum.3. **Gate Level Design:** - Sketch the circuit's gate level design using the Boolean equations derived from the Karnaugh maps.4. **Shannon’s Expansion Theorem:** - Expand both Cout and Sum with respect to Cin using Shannon's expansion theorem. - List the equations for the expansion of Cout and Sum. - Based on these expansions, implement the full adder (both Cout and Sum) using a 2-to-1 multiplexer (MUX), with Cin as the selection bit. - Sketch the MUX-based design.**Figure 1: One-bit Full Adder**- Diagram represents a block for a one-bit full adder.- Inputs: A, B, and Cin.- Outputs: Cout and Sum.

Half AdderHalf adder is a combinational circuit that performs simple addition of two binary numbers.…

Answered: Design of a one-bit full-adder: 1).…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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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.