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
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**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.
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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