1. Manually perform the following conversions (assume binary/hexadecimal values are using 2's complement notation) using the minimal number of digits in the result to represent the original value exactly: 0100000110001111 binary to decimal -499 decimal to binary

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
icon
Related questions
Question

Assume that I don't know anything about this. 
Please provide step by step guide towards any thought process. 
Thank you!

# Manual Conversion Exercises

Perform the following conversions, assuming binary/hexadecimal values are using 2's complement notation. Use the minimal number of digits in the result to represent the original value exactly:

1. **Binary to Decimal Conversion**
   - `010000011001111`: Convert this binary number to decimal.

2. **Decimal to Binary Conversion**
   - `-499`: Convert this decimal number to binary.

3. **Hexadecimal to Decimal Conversion**
   - `0x0000FEED`: Convert this hexadecimal number to decimal.
   - `0xFFFFFFFF`: Convert this hexadecimal number to decimal.
   - `0xFFFFFFED`: Convert this hexadecimal number to decimal.
   - `0x7FFF`: Convert this hexadecimal number to decimal.
   - `0x8000`: Convert this hexadecimal number to decimal.

4. **Hexadecimal to Binary Conversion**
   - `0xCAFEBABE`: Convert this hexadecimal number to binary.

5. **Binary to Hexadecimal Conversion**
   - `11101`: Convert this binary number to hexadecimal.
   - `1011101101010101010101010101010101`: Convert this binary number to hexadecimal.
   - `100101100011101`: Convert this binary number to hexadecimal.

6. **Decimal to Hexadecimal Conversion**
   - `-1`: Convert this decimal number to hexadecimal.
   - `42`: Convert this decimal number to hexadecimal.
   - `-15`: Convert this decimal number to hexadecimal.

**Note:** These exercises help in understanding the conversion between different numerical systems and the representation of positive and negative numbers using 2's complement notation.
Transcribed Image Text:# Manual Conversion Exercises Perform the following conversions, assuming binary/hexadecimal values are using 2's complement notation. Use the minimal number of digits in the result to represent the original value exactly: 1. **Binary to Decimal Conversion** - `010000011001111`: Convert this binary number to decimal. 2. **Decimal to Binary Conversion** - `-499`: Convert this decimal number to binary. 3. **Hexadecimal to Decimal Conversion** - `0x0000FEED`: Convert this hexadecimal number to decimal. - `0xFFFFFFFF`: Convert this hexadecimal number to decimal. - `0xFFFFFFED`: Convert this hexadecimal number to decimal. - `0x7FFF`: Convert this hexadecimal number to decimal. - `0x8000`: Convert this hexadecimal number to decimal. 4. **Hexadecimal to Binary Conversion** - `0xCAFEBABE`: Convert this hexadecimal number to binary. 5. **Binary to Hexadecimal Conversion** - `11101`: Convert this binary number to hexadecimal. - `1011101101010101010101010101010101`: Convert this binary number to hexadecimal. - `100101100011101`: Convert this binary number to hexadecimal. 6. **Decimal to Hexadecimal Conversion** - `-1`: Convert this decimal number to hexadecimal. - `42`: Convert this decimal number to hexadecimal. - `-15`: Convert this decimal number to hexadecimal. **Note:** These exercises help in understanding the conversion between different numerical systems and the representation of positive and negative numbers using 2's complement notation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Binary numbers
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education