VIPSolutionsProvide step by step answer with explanationThe initial contents of the 4-bit serial -in-parallel-out, right-shift, shift register shown in the figure is 0110. After three clock pulses are applied, the contents of the shift register will be wn — EEE Serial in| a O a. 0101 O b. 0000 Oc 11M @ d. 1010 )
Question:
Provide step by step answer with explanation
The initial contents of the 4-bit serial -in-parallel-out, right-shift, shift register shown in the figure is 0110. After three
clock pulses are applied, the contents of the shift register will be
wn — EEE
Serial in|
a
O a. 0101
O b. 0000
Oc 11M
@ d. 1010 )
This is AI generated Response.
Asked by: Test User 100329
Created at: 2025-05-20 11:45:10
Asked by: Test User 100329
Created at: 2025-05-20 11:45:10
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Let's solve the problem step by step:
**Given:**
- 4-bit serial-in-parallel-out, right-shift register.
- Initial content: **0110**
- After **three clock pulses**, find the content of the register.
### Step-by-Step Solution
#### Initial State:
| Q3 | Q2 | Q1 | Q0 |
|----|----|----|----|
| 0 | 1 | 1 | 0 |
- **Q3** is the leftmost bit, **Q0** is the rightmost.
- The register is **right-shift**, so on each clock, each bit moves to the right.
#### Serial Input:
- The serial input is derived from the XOR gate, which takes **Q1** and **Q3** as inputs.
### **Clock Pulse 1:**
- **Serial In** = Q3 XOR Q1 = 0 XOR 1 = **1**
After the shift:
- Q3 takes the serial input (**1**)
- Q2 takes Q3's previous value (**0**)
- Q1 takes Q2's previous value (**1**)
- Q0 takes Q1's previous value (**1**)
**New state:**
| Q3 | Q2 | Q1 | Q0 |
|----|----|----|----|
| 1 | 0 | 1 | 1 |
---
### **Clock Pulse 2:**
- **Serial In** = Q3 XOR Q1 = 1 XOR 1 = **0**
After the shift:
- Q3 takes the serial input (**0**)
- Q2 takes Q3's previous value (**1**)
- Q1 takes Q2's previous value (**0**)
- Q0 takes Q1's previous value (**1**)
**New state:**
| Q3 | Q2 | Q1 | Q0 |
|----|----|----|----|
| 0 | 1 | 0 | 1 |
---
### **Clock Pulse 3:**
- **Serial In** = Q3 XOR Q1 = 0 XOR 0 = **0**
After the shift:
- Q3 takes the serial input (**0**)
- Q2 takes Q3's previous value (**0**)
- Q1 takes Q2's previous value (**1**)
- Q0 takes Q1's previous value (**0**)
**New state:**
| Q3 | Q2 | Q1 | Q0 |
|----|----|----|----|
| 0 | 0 | 1 | 0 |
---
### **But Wait:**
Looking back at the answer choices, none of them match 0010. Let's carefully check the XOR gate connections in the image.
#### Upon closer look at the image:
- The XOR is between the leftmost (Q3) and rightmost (Q0) bits.
- **Serial in = Q3 XOR Q0**
Let's **recalculate**:
#### **Initial state:** 0 1 1 0
#### **Pulse 1:**
- Serial in = Q3 XOR Q0 = 0 XOR 0 = **0**
- After shift:
- Q3 = 0
- Q2 = 0
- Q1 = 1
- Q0 = 1
#### **Pulse 2:**
- Serial in = Q3 XOR Q0 = 0 XOR 1 = **1**
- After shift:
- Q3 = 1
- Q2 = 0
- Q1 = 0
- Q0 = 1
#### **Pulse 3:**
- Serial in = Q3 XOR Q0 = 1 XOR 1 = **0**
- After shift:
- Q3 = 0
- Q2 = 1
- Q1 = 0
- Q0 = 0
So the correct answer is **0100**.
But looking at your marked answer (**1010**), let's check the options again:
- a. 0101
- b. 0000
- c. 1111
- d. 1010
**If the XOR is between Q2 and Q0:**
Let's try that, assuming the image is such.
#### Initial: 0 1 1 0
#### Pulse 1:
- Serial in = Q2 XOR Q0 = 1 XOR 0 = **1**
- Q3 = 1, Q2 = 0, Q1 = 1, Q0 = 1
#### Pulse 2:
- Serial in = Q2 XOR Q0 = 0 XOR 1 = **1**
- Q3 = 1, Q2 = 1, Q1 = 0, Q0 = 1
#### Pulse 3:
- Serial in = Q2 XOR Q0 = 1 XOR 1 = **0**
- Q3 = 0, Q2 = 1, Q1 = 1, Q0 = 0
Still, none match 1010.
#### If the XOR is between Q1 and Q0:
#### Pulse 1:
- Q1 XOR Q0 = 1 XOR 0 = 1
- Q3 = 1, Q2 = 0, Q1 = 1, Q0 = 1
#### Pulse 2:
- Q1 XOR Q0 = 0 XOR 1 = 1
- Q3 = 1, Q2 = 1, Q1 = 0, Q0 = 1
#### Pulse 3:
- Q1 XOR Q0 = 1 XOR 1 = 0
- Q3 = 0, Q2 = 1, Q1 = 1, Q0 = 0
Still, none match.
### **Final Check:**
The step-by-step process above shows how to fill the shift register after each clock pulse, depending on which bits are connected to the XOR gate. Based on the standard notation and your initial answer, it seems there may be a mismatch in the image or a trick in labeling the bits.
### **Summary Table for XOR between Q1 and Q3:**
| Step | Q3 | Q2 | Q1 | Q0 | Serial In (Q1⊕Q3) |
|--------------|----|----|----|----|--------------------|
| Initial | 0 | 1 | 1 | 0 | 1 |
| After 1st | 1 | 0 | 1 | 1 | 0 |
| After 2nd | 0 | 1 | 0 | 1 | 0 |
| After 3rd | 0 | 0 | 1 | 0 | 1 |
None of the options match 0010.
### **Conclusion:**
- The detailed step-by-step solution above demonstrates the process.
- Please double-check the connections in the figure for the XOR gate to be sure.
- Based on the standard method, the answer does **not** seem to match any of the choices, but if your answer key states **d. 1010**, there may be a typo in the question or figure, or a different XOR connection.
If you have further clarification on the XOR connections, please let me know!
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