The following figure shows SR latch that is the most fundamental building block using static gates. Answer the following questions. (Note: You should show all the steps)   1. What are the outputs Q and Q when both inputs S and R are FALSE (or “0”)?   2. Fill out the truth table of SR Latch.

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The following figure shows SR latch that is the most fundamental building block using static gates. Answer the following questions.
(Note: You should show all the steps)

 

1. What are the outputs Q and Q when both inputs S and R are FALSE (or “0”)?

 

2. Fill out the truth table of SR Latch.

The diagram illustrates an S-R Latch, which is a fundamental memory element in digital electronics. It consists of two cross-coupled NOR gates, labeled as \(N_1\) and \(N_2\).

### Components and Connections:

- **Inputs:**
  - \(R\): The reset input.
  - \(S\): The set input.

- **Outputs:**
  - \(Q\): The primary output of the latch.
  - \(\overline{Q}\): The complement of \(Q\), often referred to as \(Q' \).

### Functionality:

- **NOR Gates:**
  - \(N_1\): Receives inputs from \(R\) and the output of \(N_2\) (\(\overline{Q}\)).
  - \(N_2\): Receives inputs from \(S\) and the output of \(N_1\) (\(Q\)).

### Operation:

- The outputs \(Q\) and \(\overline{Q}\) are complementary, meaning they are always opposite.
- The latch maintains its state until an input is triggered to change it.
- This latch operates under the following conditions:
  - When \(S = 1\) and \(R = 0\), the latch sets (\(Q = 1\)).
  - When \(S = 0\) and \(R = 1\), the latch resets (\(Q = 0\)).
  - When \(S = 0\) and \(R = 0\), the latch retains its previous state.
  - \(S = 1\) and \(R = 1\) is generally considered an invalid condition for a stable latch operation.

The S-R Latch is widely used in memory storage elements, forming the basis of flip-flops and more complex memory structures.
Transcribed Image Text:The diagram illustrates an S-R Latch, which is a fundamental memory element in digital electronics. It consists of two cross-coupled NOR gates, labeled as \(N_1\) and \(N_2\). ### Components and Connections: - **Inputs:** - \(R\): The reset input. - \(S\): The set input. - **Outputs:** - \(Q\): The primary output of the latch. - \(\overline{Q}\): The complement of \(Q\), often referred to as \(Q' \). ### Functionality: - **NOR Gates:** - \(N_1\): Receives inputs from \(R\) and the output of \(N_2\) (\(\overline{Q}\)). - \(N_2\): Receives inputs from \(S\) and the output of \(N_1\) (\(Q\)). ### Operation: - The outputs \(Q\) and \(\overline{Q}\) are complementary, meaning they are always opposite. - The latch maintains its state until an input is triggered to change it. - This latch operates under the following conditions: - When \(S = 1\) and \(R = 0\), the latch sets (\(Q = 1\)). - When \(S = 0\) and \(R = 1\), the latch resets (\(Q = 0\)). - When \(S = 0\) and \(R = 0\), the latch retains its previous state. - \(S = 1\) and \(R = 1\) is generally considered an invalid condition for a stable latch operation. The S-R Latch is widely used in memory storage elements, forming the basis of flip-flops and more complex memory structures.
Expert Solution
Step 1

Given 

An SR latch with NOR gates.

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Follow-up Question

can you enter truth table in this format please?

S

R

Q

Q'

0

1

   

1

0

   

0

0

   

1

1

   
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