**Topic: Converting Decimal Numbers to 8-bit Signed Binary Using Two's Complement****Exercise:**Convert the following decimal numbers into 8-bit signed binary numbers using the two's complement form:1. -932. 03. -1---**Explanation:**The transformation process involves the following steps for each number:1. **Positive Numbers:** - Convert the decimal number to binary. - If the number is less than 128, ensure it is 8 bits by adding leading zeros.2. **Negative Numbers:** - Convert the absolute value to binary. - Ensure it is 8 bits by adding leading zeros. - Invert the digits (0s become 1s and 1s become 0s). - Add 1 to the least significant bit (LSB).**Example of Two's Complement Conversion:**- **For -93:** - Convert 93 to binary: `01011101` - Invert digits: `10100010` - Add 1: `10100011`- **For 0:** - Binary form: `00000000`- **For -1:** - Convert 1 to binary: `00000001` - Invert digits: `11111110` - Add 1: `11111111`These conversions help represent negative and positive numbers efficiently in computing systems using a fixed number of bits.

According to the information given:- We have to convert decimal numbers as 8-bit signed binary…

Answered: Write the following decimal numbers as…

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Write the following decimal numbers as 8-bit signed binary numbers, using 2's complement form. -93 0 -1

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

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Question

**Topic: Converting Decimal Numbers to 8-bit Signed Binary Using Two's Complement**

**Exercise:**

Convert the following decimal numbers into 8-bit signed binary numbers using the two's complement form:

1. -93
2. 0
3. -1

---

**Explanation:**

The transformation process involves the following steps for each number:

1. **Positive Numbers:**
- Convert the decimal number to binary.
- If the number is less than 128, ensure it is 8 bits by adding leading zeros.

2. **Negative Numbers:**
- Convert the absolute value to binary.
- Ensure it is 8 bits by adding leading zeros.
- Invert the digits (0s become 1s and 1s become 0s).
- Add 1 to the least significant bit (LSB).

**Example of Two's Complement Conversion:**

- **For -93:**
- Convert 93 to binary: `01011101`
- Invert digits: `10100010`
- Add 1: `10100011`

- **For 0:**
- Binary form: `00000000`

- **For -1:**
- Convert 1 to binary: `00000001`
- Invert digits: `11111110`
- Add 1: `11111111`

These conversions help represent negative and positive numbers efficiently in computing systems using a fixed number of bits.

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