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Misc

Process Management Process State Scheduling Algorithm FCFS (First-come-First-Serve) Scheduling SJF (Shortest Job First) Scheduling Round-Robin CPU Scheduling Priority Based Scheduling HRRN (Highest Response Ratio Next) Scheduling Process Synchronization Lock Variable Mechanism TSL Mechanism Turn Variable Mechanism Interested Variable Mechanism Deadlock Avoidance Strategies for Handling Deadlock Deadlock Prevention Deadlock Detection and Recovery Resource Allocation Graph Banker’s Algorithm in Operating System Fixed Partitioning and Dynamic Partitioning Partitioning Algorithms Disk Scheduling Algorithms FCFS and SSTF Disk Scheduling Algorithm SCAN and C-SCAN Disk Scheduling Algorithm Look and C-Look Disk Scheduling Algorithm File in Operating System File Access Methods in Operating System File Allocation Method Directory Structure in Operating System N-Step-SCAN Disk Scheduling Feedback Queue in Operating System Contiguous Memory Allocation in Operating System Real-time Operating System Starvation in Operating System Thrashing in Operating System 5 Goals of Operating System Advantages of Operating System Advantages of UNIX Operating System Bit Vector in Operating System Booting Process in Operating System Can a Computer Run Without the Operating System Dining Philosophers Problem in Operating System Free Space Management in Operating System Inter Process Communication in Operating System Swapping in Operating System Memory Management in Operating System Multiprogramming Operating System Multitasking Operating Systems Multi-user Operating Systems Non-Contiguous Memory Allocation in Operating System Page Table in Operating System Process Scheduling in Operating System Segmentation in Operating System Simple Structure in Operating System Single-User Operating System Two Phase Locking Protocol Advantages and Disadvantages of Operating System Arithmetic operations in binary number system Assemblers in the operating system Bakery Algorithm in Operating System Benefits of Ubuntu Operating System CPU Scheduling Criteria in Operating System Critical Section in Operating System Device Management in Operating System Linux Scheduler in Operating System Long Term Scheduler in Operating System Mutex in Operating System Operating System Failure Peterson's Solution in Operating System Privileged and Non-Privileged Instructions in Operating System Swapping in Operating System Types of Operating System Zombie and Orphan Process in Operating System 62-bit operating system Advantages and Disadvantages of Batch Operating System Boot Block and Bad Block in Operating System Contiguous and Non - Contiguous Memory Allocation in Operating System Control and Distribution Systems in Operations Management Control Program in Operating System Convergent Technologies in Operating System Convoy Effect in Operating System Copy Operating Systems to SSD Core Components of Operating System Core of UNIX Operating System Correct Value to return to the Operating System Corrupted Operating System Cos is Smart Card Operating System Cosmos Operating Systems Examples Generation of Operating System Hardware Solution in Operating System Process Control Block in Operating System Function of Kernel in Operating System Operating System Layers History of Debian Operating Systems Branches and Architecture of Debian Operating Systems Features and Packages of Debian Operating Systems Installation of Operating System on a New PC Organizational Structure and Development in Debian Operating Systems User Interface in Operating System Types Of Memory in OS Operating System in Nokia Multilevel Paging in OS Memory Mapping Techniques in OS Memory Layout of a Process in Operating System Hardware Protection in Operating System Functions of File Management in Operating System Core of Linux Operating System Cache Replacement Policy in Operating System Cache Line and Cache Size in Operating System What is Memory Mapping? Difference Between Network Operating System And Distributed Operating System What is the difference between a Hard link and a Soft Link? Principles of Preemptive Scheduling Process Scheduling Algorithms What is NOS? What is the Interrupt I/O Process? What is Time Sharing OS What is process termination? What is Time-Sharing Operating System

Arithmetic operations in binary number system

Binary arithmetic operations are the set of operations that allow one to manipulate binary numbers. Binary operations are similar to those used for the decimal system, but the calculations are slightly different.

First, we need to understand the concept of binary numbers. A binary number is a sequence of digits that can only be 0 or 1. For example, 101100 is a six-digit binary number. Binary numbers are used to represent data and instructions in computer systems.

To perform any arithmetic operations on a binary number, we need to understand the concept of two’s complement. Two’s complement is a representation of a binary number in which the most significant bit is considered to be the sign bit. If the bit is 0, then the number is positive, and if the bit is 1, then the number is negative.

Arithmetic operations in the binary number system are similar to those in the decimal number system, but they are performed using only the digits 0 and 1. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

The most common binary arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic operations in the binary number system are similar to those in the decimal number system, but they are performed using only the digits 0 and 1. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

Addition:

In binary addition, we add two binary numbers by using the same process as we do in the decimal system. The only difference is that we only use 0s and 1s instead of 0 through 9. We start from the rightmost position and add the two digits, and if the sum is greater than 1, we carry over the remainder to the next position.

To add two binary numbers, start by adding the rightmost (least significant) digits, just as in decimal addition. If the sum is 0 or 1, write it down. If the sum is 2, write down 0 and carry 1 to the next column. If the sum is 3, write down 1 and carry 1 to the next column.

Repeat this process for each column, carrying any 1s to the next column as necessary.

Example:

  1011 (binary)
+  1101 (binary)
  ------
 10100 (binary)
------

Subtraction:

Subtraction is similar to addition, except that instead of carrying the remainder we borrow it from the next position. In order to borrow, we need to subtract 1 from the number to the left of the position from which we need to borrow.

To subtract two binary numbers, start by subtracting the rightmost digit of the second number from the rightmost digit of the first number, just as in decimal subtraction. If the first number is smaller than the second number, borrow 1 from the next column to increase the first number. Then subtract the second digit from the first digit, and repeat this process for each column.

Example:

  1011 (binary)
-  1101 (binary)
  ------
 -0010 (binary)
  ------

Multiplication:

Multiplication is the same in binary as it is in the decimal system. We start from the rightmost position and multiply each digit by the other number. We add up all the products and put the result in the appropriate position.

To multiply two binary numbers, multiply the rightmost digit of the second number by each digit of the first number, starting from the rightmost digit, and write the results underneath. Then shift the second number one digit to the left and repeat the process, adding the results together as you go.

Example:

   101 (binary)
*  110 (binary)
  ------
   1010 (binary)
  1010  (binary)
  ------
  11110 (binary)
  ------

Division:

Division is similar to multiplication, except that the divisor is shifted to the left until it is equal to the dividend. We keep subtracting the divisor from the dividend until the dividend becomes zero. The number of subtractions tells us how many times the divisor goes into the dividend.

To divide one binary number by another, use long division as in decimal division. Divide the leftmost digit of the dividend by the leftmost digit of the divisor, and write the quotient underneath. Then multiply the divisor by the quotient, subtract the result from the dividend, and bring down the next digit. Repeat this process until the remainder is smaller than the divisor.

Example:

   1010 (binary) ÷ 11 (binary)
  ------
 1)1010
   11
  ----
    1
    1 0
    ---
      1

Therefore, the quotient is 10 (binary) and the remainder is 1 (binary).