**Title: Understanding 5-Bit Two's Complement Notation Through Example Calculations****Introduction**In this exercise, we will calculate operations using the 5-bit two's complement notation. This binary numbering system is commonly used in computer arithmetic for representing signed integers.**Problem Statement**Calculate the following operations in 5-bit two's complement notation:a) $13 - (-12)$b) $-12 - 9$**Understanding Two's Complement**In two's complement, positive numbers are represented as usual in binary, while negative numbers are represented by inverting all bits of the absolute value and adding one to the least significant bit.**Example Calculations****a) $13 - (-12)$****Steps:**1. Convert $13$ to 5-bit binary.2. Convert $-12$ to 5-bit two's complement.3. Perform binary addition.**b) $-12 - 9$****Steps:**1. Convert $-12$ to 5-bit two's complement.2. Convert $9$ to 5-bit binary.3. Add the two binary numbers together.This exercise helps familiarize you with performing arithmetic operations within the limitations of fixed bit-length binary numbers, an essential concept in digital electronics and computer architecture.**Conclusion**Understanding and applying two's complement notation is crucial for interpreting and performing arithmetic operations within computer systems. By mastering these calculations, you can better appreciate how computers handle arithmetic internally.

Answered: 1) Calculate the following operations…

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Computer Science

1) Calculate the following operations in 5-bits 2's compleme notation. a) 13 - (-12) b) -12 -9

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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Question

**Title: Understanding 5-Bit Two's Complement Notation Through Example Calculations**

**Introduction**

In this exercise, we will calculate operations using the 5-bit two's complement notation. This binary numbering system is commonly used in computer arithmetic for representing signed integers.

**Problem Statement**

Calculate the following operations in 5-bit two's complement notation:

a) $13 - (-12)$

b) $-12 - 9$

**Understanding Two's Complement**

In two's complement, positive numbers are represented as usual in binary, while negative numbers are represented by inverting all bits of the absolute value and adding one to the least significant bit.

**Example Calculations**

**a) $13 - (-12)$**

**Steps:**
1. Convert $13$ to 5-bit binary.
2. Convert $-12$ to 5-bit two's complement.
3. Perform binary addition.

**b) $-12 - 9$**

**Steps:**
1. Convert $-12$ to 5-bit two's complement.
2. Convert $9$ to 5-bit binary.
3. Add the two binary numbers together.

This exercise helps familiarize you with performing arithmetic operations within the limitations of fixed bit-length binary numbers, an essential concept in digital electronics and computer architecture.

**Conclusion**

Understanding and applying two's complement notation is crucial for interpreting and performing arithmetic operations within computer systems. By mastering these calculations, you can better appreciate how computers handle arithmetic internally.

Expert Solution

Step 1

a)13-(-12)

b)-12-9

convert the follwing into 2s compliment

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