5. In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least- significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. The circuit below uses a 5-input AND gate. Draw the equivalent circuit using only 2-input gates. A. B D.

Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
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Question
**Problem 5:**

In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least-significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X.

**Diagram Explanation:**

The diagram consists of a logic circuit with the following components:

1. **5-Input AND Gate:** 
   - Inputs: A, B, C, D, E
   - This gate outputs a high signal (1) only when all its inputs (A, B, C, D, E) are high (1).

2. **OR Gate:** 
   - Input: The output of the 5-input AND gate
   - Output: X
   - This gate outputs a high signal (1) if the output of the AND gate is high (1).

To cause a 1 to appear at point X, all inputs (A, B, C, D, E) must be 1 to satisfy the condition of the 5-input AND gate.

**Task:**

The circuit below uses a 5-input AND gate. Draw the equivalent circuit using only 2-input gates.

**Instruction for Drawing:**

- Break down the 5-input AND gate into multiple 2-input AND gates.
- Connect these 2-input AND gates in a sequence such that the overall logic remains equivalent to the original 5-input AND gate. 
- Ensure that all inputs (A, B, C, D, E) are covered and ultimately lead to the OR gate in the existing configuration.
Transcribed Image Text:**Problem 5:** In the circuit implementation of an 8-bit adder, explain why the carry bit connection of the least-significant bit is connected to ground. Explain in words what values for A, B, C, D, E will cause a 1 to appear at point X. **Diagram Explanation:** The diagram consists of a logic circuit with the following components: 1. **5-Input AND Gate:** - Inputs: A, B, C, D, E - This gate outputs a high signal (1) only when all its inputs (A, B, C, D, E) are high (1). 2. **OR Gate:** - Input: The output of the 5-input AND gate - Output: X - This gate outputs a high signal (1) if the output of the AND gate is high (1). To cause a 1 to appear at point X, all inputs (A, B, C, D, E) must be 1 to satisfy the condition of the 5-input AND gate. **Task:** The circuit below uses a 5-input AND gate. Draw the equivalent circuit using only 2-input gates. **Instruction for Drawing:** - Break down the 5-input AND gate into multiple 2-input AND gates. - Connect these 2-input AND gates in a sequence such that the overall logic remains equivalent to the original 5-input AND gate. - Ensure that all inputs (A, B, C, D, E) are covered and ultimately lead to the OR gate in the existing configuration.
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