Assume a 32-bit binary 01000101 01000101 01000011 01010011. Write down what value will the given binary represents if its type is a: 1. 32-bit unsigned integer, 2. four characters in ASCII code, 3. 32-bit floating point number (keep mantissa up to 4 decimal places).
Assume a 32-bit binary 01000101 01000101 01000011 01010011. Write down what value will the given binary represents if its type is a: 1. 32-bit unsigned integer, 2. four characters in ASCII code, 3. 32-bit floating point number (keep mantissa up to 4 decimal places).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Transcribed Image Text:**Educational Resource: Understanding Binary Representations**
Assume a 32-bit binary `01000101 01000101 01000011 01010011`. Write down what value the given binary represents if its type is a:
1. **32-bit unsigned integer**
2. **Four characters in ASCII code**
3. **32-bit floating point number** (keep mantissa up to 4 decimal places)
In the educational setting, you would explore different interpretations of the same binary sequence, showcasing its versatility in representing various data types. Let’s delve into each category:
1. **32-bit Unsigned Integer**:
- The binary sequence is interpreted as a whole number without any sign (positive only).
- Calculation involves converting the entire binary string to a decimal number.
2. **Four Characters in ASCII Code**:
- The binary sequence is divided into four parts, each representing one ASCII character.
- Each 8-bit segment is translated into its corresponding ASCII character.
3. **32-bit Floating Point Number**:
- The sequence is interpreted according to the IEEE 754 standard for floating point arithmetic.
- This involves identifying the sign bit, the exponent, and the fraction (mantissa).
- The mantissa is represented up to 4 decimal places for precision.
This exercise demonstrates how binary data, depending on context, can have multiple and varied meanings, which is a crucial concept in computer science and data representation.
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