I NEED HELP ASAP:
A truth table has 8 inputs and 5 logic gates. How many rows will you need for your truth table? Show your working. [3 marks]

(Don't bother answering, your not getting brainliest)

Respuesta :

Answer:

64

Explanation:

A truth table can be defined as a table that tells us more about a Boolean function.

A truth tables also gives us more information about how logic gates behave. They also show us the relationships between the inputs and outputs of a logic gates.

Logic gates are essential and fundamental components of an electrical circuit.

The rows on a truth table shows us the possible combinations of the inputs of a circuits as well as it's resulting or corresponding outputs.

In order to determine the number of rows that a truth table has, the formula below is used.

Number of rows in a truth table = (Number of Inputs)²

In the question above, we are told that

A truth table has 8 inputs and 5 logic gates. The number of rows needed for this truth table is calculated as:

Number of rows in a truth table = (Number of Inputs)²

Number of rows in a truth table = (8)²

= 64 rows.

The number of rows needed for the truth table is 64

The given parameters are:

  • Inputs = 8
  • Logic gates = 5

The number of rows in the truth table is then calculated as:

[tex]Row = Inp ut^2[/tex]

Substitute value for Input

[tex]Row = 8^2[/tex]

Evaluate the exponent

[tex]Row = 64[/tex]

Hence, the number of rows needed for the truth table is 64

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