Given the parity circuitry below (Figure 7.1ba, page 322) and the llowing inputs 11-IN, find the output (0) D4D 11 12 13 14 IN 11 12 = Input I1-IN = 1101 0001, output O Input I1-IN=0001 1001, output O = Exchange the XOR gates above with XNOR gates and find Input I1-IN = 1101 0001, output 0 = Input I1-IN = 0001 1001, output O = Exchange the daisy chain circuit configuration shown above to a tree configuration: 13 14 IM IN #D # ... #Do = Input I1-IN = 1101 0001, output O Input I1-IN = 0001 1001, output O = O }

Database System Concepts
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Chapter1: Introduction
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**Parity Circuitry Exercise**

Given the parity circuitry below (Figure 7.16a, page 322) and the following inputs \( I_1-I_N \), find the output (O):

**Diagram Description:**
The diagram shows a series of XOR gates connected in a daisy chain configuration. The inputs \( I_1, I_2, \ldots, I_N \) are fed into the gates, and a single output (O) is produced at the end.

**Inputs and Outputs:**

- Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \)

- Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \)

**Task:**
Exchange the XOR gates above with XNOR gates and find:

- Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \)

- Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \)

**Modification:**
Exchange the daisy chain circuit configuration shown above to a tree configuration.

**Diagram Description:**
The modified diagram shows a tree configuration of XOR gates where inputs are combined in pairs through the gates, and the outputs of these are subsequently fed into further gates, eventually producing a single output (O).

**Inputs and Outputs for Tree Configuration:**

- Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \)

- Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \)
Transcribed Image Text:**Parity Circuitry Exercise** Given the parity circuitry below (Figure 7.16a, page 322) and the following inputs \( I_1-I_N \), find the output (O): **Diagram Description:** The diagram shows a series of XOR gates connected in a daisy chain configuration. The inputs \( I_1, I_2, \ldots, I_N \) are fed into the gates, and a single output (O) is produced at the end. **Inputs and Outputs:** - Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \) - Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \) **Task:** Exchange the XOR gates above with XNOR gates and find: - Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \) - Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \) **Modification:** Exchange the daisy chain circuit configuration shown above to a tree configuration. **Diagram Description:** The modified diagram shows a tree configuration of XOR gates where inputs are combined in pairs through the gates, and the outputs of these are subsequently fed into further gates, eventually producing a single output (O). **Inputs and Outputs for Tree Configuration:** - Input \( I_1-I_N = 1101\ 0001 \), output \( O = \underline{\quad\quad} \) - Input \( I_1-I_N = 0001\ 1001 \), output \( O = \underline{\quad\quad} \)
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