Problem_#04] Find the output of the parallel adder shown below 00 1 0 A B Cin А В С A B Cin А В A B Cin Σ Cout Σ Cout |Cout Σ Cout Σ Σ |Cout Es
Problem_#04] Find the output of the parallel adder shown below 00 1 0 A B Cin А В С A B Cin А В A B Cin Σ Cout Σ Cout |Cout Σ Cout Σ Σ |Cout Es
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:**Problem #04**: Find the output of the parallel adder shown below
The image depicts a series of connected full adders used to perform binary addition. Each full adder block is labeled with inputs \( A \), \( B \), and \( C_{\text{in}} \), and produces outputs \( C_{\text{out}} \) and \( \Sigma \). Here is a detailed explanation:
1. **Columns/Full Adders**:
- There are five full adder blocks arranged in series.
- Each adder block has three inputs: \( A \), \( B \), and the carry-in (\( C_{\text{in}} \)).
- Each block produces two outputs: the sum (\( \Sigma \)) and the carry-out (\( C_{\text{out}} \)).
2. **Inputs and Outputs**:
- The inputs \( A \) and \( B \) are binary numbers entering from the left side of each block.
- The carry-in (\( C_{\text{in}} \)) for each adder block (except the first one) is connected to the carry-out (\( C_{\text{out}} \)) from the previous block.
- The sum outputs (\( \Sigma_1, \Sigma_2, ..., \Sigma_5 \)) are indicated at the base of each block.
3. **Binary Input Values**:
- For each adder block, the inputs \( A \) and \( B \) are as follows (from left to right):
- First block: \( A = 1 \), \( B = 0 \)
- Second block: \( A = 0 \), \( B = 1 \)
- Third block: \( A = 1 \), \( B = 1 \)
- Fourth block: \( A = 1 \), \( B = 0 \)
- Fifth block: \( A = 0 \), \( B = 1 \)
4. **Carry-Out and Sum Outputs**:
- The resulting sums \( \Sigma_1, \Sigma_2, \Sigma_3, \Sigma_4, \Sigma_5 \) and any final carry-out are not explicitly calculated in the image but would be determined by performing the binary addition operation for each adder.
This configuration illustrates how a series of full adders can be used in a parallel configuration
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