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
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
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
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.
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