Addition and Subtraction of
Binary Numbers

Addition and Subtraction of Binary Numbers using sign bit:

Sometimes an underscore (-) is used to distinguish the sign bit from the magnitude bit.

Thus, if a computer is capable of handling numbers of 5 bits (i.e., sign bit and 4 magnitude bits) then the number - 1011 is represented by 11011 where 1 denotes the negative sign and 1011 is the magnitude of the numbers.

Similarly 01101 indicate the binary number + 1101.

A negative numbers may also be represented by using 1’s complement of the magnitude of the number.

Thus the binary number – 1011 may be represented as 10100 where the MSB 1 means that the number is negative and 0100 is the 1’s complement of the magnitude of the given number.

Similarly, 10011 indicate the number – 1100 and so on.

In the same way 2’s complement may be used to represent a negative binary number.

For example, - 1011 may be represented as 10101 where 1 means that the number is negative and 0101 is the 2’s complement of the number 1011.

The addition and subtraction of binary numbers using sign bit methods of representing negative numbers may be used conveniently in the design of computers to evaluate sums and differences of binary numbers by addition only.

● Binary Numbers

  • Decimal Number System
  • Why Binary Numbers are Used
  • Binary to Decimal Conversion
  • Conversion of Numbers
  • Hexa-decimal Number System
  • Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
  • Octal and Hexa-Decimal Numbers
  • Signed-magnitude Representation
  • Radix Complement
  • Diminished Radix Complement
  • Arithmetic Operations of Binary Numbers



From Addition and Subtraction of Binary Numbers to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Formation of Square and Rectangle | Construction of Square & Rectangle

    Jul 16, 25 02:45 AM

    Construction of a Square
    In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required…

    Read More

  2. Perimeter of a Figure | Perimeter of a Simple Closed Figure | Examples

    Jul 16, 25 02:33 AM

    Perimeter of a Figure
    Perimeter of a figure is explained here. Perimeter is the total length of the boundary of a closed figure. The perimeter of a simple closed figure is the sum of the measures of line-segments which hav…

    Read More

  3. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 15, 25 11:46 AM

    In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

    Read More

  4. 5th Grade Quadrilaterals | Square | Rectangle | Parallelogram |Rhombus

    Jul 15, 25 02:01 AM

    Square
    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  5. 5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans

    Jul 14, 25 01:53 AM

    Name the Angles
    In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…

    Read More