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Task 1: Write the truth table for both full and half adders as well as the simplified equations. (Show your work for simplifying the equations). Use XOR or XNORS where appropriate. Half Adder S= C= Full Adder S= C= A B 0 0 0 1 1 0 1 1 Half Adder C 0 0 0 OL 0 Full Adder A B SC 0 0 1 0 1 0 0 1 COO 0 LLO 1 1 SC 1 1 0

Task 1: Write the truth table for both full and half adders as well as the simplified equations. (Show your work for simplifying the equations). Use XOR or XNORS where appropriate. Half Adder S= C= Full Adder S= C= A B 0 0 0 1 1 0 1 1 Half Adder C 0 0 0 OL 0 Full Adder A B SC 0 0 1 0 1 0 0 1 COO 0 LLO 1 1 SC 1 1 0

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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**Task 2**: Build a single bit full adder in a logic circuit. Take a screenshot of the truth table to make sure that it matches the one from Task 1.
Transcribed Image Text:**Task 2**: Build a single bit full adder in a logic circuit. Take a screenshot of the truth table to make sure that it matches the one from Task 1.
**Task 1: Writing the Truth Table for Full and Half Adders** In this task, you are required to write the truth tables for both full and half adders, and to provide the simplified equations. Use XOR or XNOR where appropriate. The tables for half adder and full adder are shown below. **Half Adder** - **Inputs:** A, B - **Outputs:** S (Sum), C (Carry) | A | B | S | C | |---|---|---|---| | 0 | 0 | | | | 0 | 1 | | | | 1 | 0 | | | | 1 | 1 | | | **Equations for Half Adder:** - S = ___________________ - C = ___________________ **Full Adder** - **Inputs:** C (Carry In), A, B - **Outputs:** S (Sum), C (Carry Out) | C | A | B | S | C | |---|---|---|---|---| | 0 | 0 | 0 | | | | 0 | 0 | 1 | | | | 0 | 1 | 0 | | | | 0 | 1 | 1 | | | | 1 | 0 | 0 | | | | 1 | 0 | 1 | | | | 1 | 1 | 0 | | | | 1 | 1 | 1 | | | **Equations for Full Adder:** - S = ___________________ - C = ___________________ Make sure to show your work when simplifying the equations. Use XOR or XNOR gates where they can simplify the logical expressions.
Transcribed Image Text:**Task 1: Writing the Truth Table for Full and Half Adders** In this task, you are required to write the truth tables for both full and half adders, and to provide the simplified equations. Use XOR or XNOR where appropriate. The tables for half adder and full adder are shown below. **Half Adder** - **Inputs:** A, B - **Outputs:** S (Sum), C (Carry) | A | B | S | C | |---|---|---|---| | 0 | 0 | | | | 0 | 1 | | | | 1 | 0 | | | | 1 | 1 | | | **Equations for Half Adder:** - S = ___________________ - C = ___________________ **Full Adder** - **Inputs:** C (Carry In), A, B - **Outputs:** S (Sum), C (Carry Out) | C | A | B | S | C | |---|---|---|---|---| | 0 | 0 | 0 | | | | 0 | 0 | 1 | | | | 0 | 1 | 0 | | | | 0 | 1 | 1 | | | | 1 | 0 | 0 | | | | 1 | 0 | 1 | | | | 1 | 1 | 0 | | | | 1 | 1 | 1 | | | **Equations for Full Adder:** - S = ___________________ - C = ___________________ Make sure to show your work when simplifying the equations. Use XOR or XNOR gates where they can simplify the logical expressions.
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