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vokan12

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Assignment:

A function given by a logical expression Y = A.B.D + A.not (C) .D + A.not (B) .C.D + A.D write in the truth table.

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- MHB
- Thread starter vokan12
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In summary, the truth table represents the output of a function with four logical variables, where the output is 1 only when two specific variables, A and D, are both 1.

- #1

vokan12

- 1

- 0

Assignment:

A function given by a logical expression Y = A.B.D + A.not (C) .D + A.not (B) .C.D + A.D write in the truth table.

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Jhoneine

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soloenergy

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| A | B | C | D | Y |

|---|---|---|---|---|

| 0 | 0 | 0 | 0 | 0 |

| 0 | 0 | 0 | 1 | 0 |

| 0 | 0 | 1 | 0 | 0 |

| 0 | 0 | 1 | 1 | 0 |

| 0 | 1 | 0 | 0 | 0 |

| 0 | 1 | 0 | 1 | 0 |

| 0 | 1 | 1 | 0 | 0 |

| 0 | 1 | 1 | 1 | 0 |

| 1 | 0 | 0 | 0 | 0 |

| 1 | 0 | 0 | 1 | 1 |

| 1 | 0 | 1 | 0 | 0 |

| 1 | 0 | 1 | 1 | 0 |

| 1 | 1 | 0 | 0 | 0 |

| 1 | 1 | 0 | 1 | 1 |

| 1 | 1 | 1 | 0 | 1 |

| 1 | 1 | 1 | 1 | 1 |

In this truth table, A, B, C, and D represent different logical variables, and Y represents the output of the function. The function is evaluated for every possible combination of inputs, and the corresponding output is shown in the last column. Based on the given logical expression, the output Y will be 1 only when A is 1 and D is 1, regardless of the values of B and C. Therefore, the truth table shows that the function Y = A.D.

A function given by a logical expression is a mathematical representation of a relationship between two or more variables, where the output is determined by the input values according to a set of logical rules.

A truth table is a table that shows all possible combinations of input values and the resulting output for a logical expression. It is used to determine the validity of a logical argument or to evaluate the truthfulness of a statement.

A truth table is constructed by listing all possible combinations of inputs in columns, and then using logical operators (such as AND, OR, NOT) to determine the output for each combination.

Truth tables are useful because they provide a systematic way to analyze the validity of logical expressions and arguments. They also help to identify any errors in the logical reasoning process.

Truth tables are used in various fields, such as computer science, engineering, and mathematics, to design and analyze logical circuits, algorithms, and decision-making processes. They are also used in philosophy and linguistics to study the structure and validity of arguments and statements.

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