Three 1s Detector Design a logic circuit that detects three consecutive 1s in 8-bit input Step 1: Capture the function (assume the number is abcdefgh) Step 2: Convert to equation Step 3: Implement as a gate-based circuit

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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**Three 1s Detector**

**Objective:**
Design a logic circuit that detects three consecutive 1s in an 8-bit input.

**Instructions:**

1. **Step 1: Capture the function**
   - Assume the number is represented as `abcdefgh`.

2. **Step 2: Convert to equation**
   - Formulate a logical equation based on the input to detect the desired pattern.

3. **Step 3: Implement as a gate-based circuit**
   - Construct the logic circuit using gates based on the derived equation.

This process will help in designing a circuit capable of identifying any occurrence of three consecutive 1s within an 8-bit binary number.
Transcribed Image Text:**Three 1s Detector** **Objective:** Design a logic circuit that detects three consecutive 1s in an 8-bit input. **Instructions:** 1. **Step 1: Capture the function** - Assume the number is represented as `abcdefgh`. 2. **Step 2: Convert to equation** - Formulate a logical equation based on the input to detect the desired pattern. 3. **Step 3: Implement as a gate-based circuit** - Construct the logic circuit using gates based on the derived equation. This process will help in designing a circuit capable of identifying any occurrence of three consecutive 1s within an 8-bit binary number.
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