Show step by step how the computer would represent the following numbers using this floating- point format a. 0.4062510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields
Show step by step how the computer would represent the following numbers using this floating- point format a. 0.4062510 i. Convert it into a binary number ii. Normalize this binary number iii. Fill up the fields
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![**Step-by-Step Representation of a Number in Floating-Point Format**
This section will guide you through representing the number 0.40625 in floating-point format, with detailed steps provided below.
**a. 0.40625\(_{10}\)**
i. **Convert it into a binary number**
- Convert the decimal number 0.40625 into its binary equivalent.
- [Provide detailed conversion here]
ii. **Normalize this binary number**
- Normalize the binary representation obtained in the first step.
- [Explain normalization process]
iii. **Fill up the fields**
- Place the binary representation into the floating-point fields.
- [Describe how fields are filled]
**Diagram Explanation**
- The diagram below the text consists of fifteen empty fields represented by small rectangles in a horizontal sequence. These fields are placeholders for entering the binary representation of the given decimal number once converted and normalized. Each rectangle will contain parts of the binary number, typically divided into different sections for the sign bit, exponent, and mantissa in floating-point representation.
**Note:** This instructional content will help you understand floating-point representation in computer systems, providing a foundational understanding for computing enthusiasts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc78cb2d6-68a5-41e0-b558-8f8bf6426ef5%2Fa90601d5-3555-4246-bdfd-480521a8cf0d%2Fx98548z_processed.png&w=3840&q=75)
Transcribed Image Text:**Step-by-Step Representation of a Number in Floating-Point Format**
This section will guide you through representing the number 0.40625 in floating-point format, with detailed steps provided below.
**a. 0.40625\(_{10}\)**
i. **Convert it into a binary number**
- Convert the decimal number 0.40625 into its binary equivalent.
- [Provide detailed conversion here]
ii. **Normalize this binary number**
- Normalize the binary representation obtained in the first step.
- [Explain normalization process]
iii. **Fill up the fields**
- Place the binary representation into the floating-point fields.
- [Describe how fields are filled]
**Diagram Explanation**
- The diagram below the text consists of fifteen empty fields represented by small rectangles in a horizontal sequence. These fields are placeholders for entering the binary representation of the given decimal number once converted and normalized. Each rectangle will contain parts of the binary number, typically divided into different sections for the sign bit, exponent, and mantissa in floating-point representation.
**Note:** This instructional content will help you understand floating-point representation in computer systems, providing a foundational understanding for computing enthusiasts.
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