Diminished Radix Complement

Diminished Radix Complement Representation:

In the decimal number system the diminished radix complement is 9’s complement. This is obtained by subtracting each digit of the number from 9.

Decimal Number

59

894

6578

2063

9’s Complement

40

105

3421

7936

The diminished radix complement of binary numbers is called 1’s complement. The 1’s complement of a binary number is formed by replacing each 1 in the number by a 0 and each 0 by 1.

For example, 1’s complements of some binary numbers are;

Binary Number

1011

1101

1’s Complement

0100

0010

In the case of signed magnitude representation of binary numbers, the MSB is the sign bit.

Positive number representations are same for both 1’s and 2’s complement. But representation of negative numbers differs by 1. A weight of -(2n-1 - 1) rather than -2n-1 is given to the MSB while computing the decimal equivalent of 1’s complement of a binary number.


A few examples of 8-bit binary numbers and their 1’s complement are given below;

Binary Number

(i)                          01010001

1’s complement         10101110

(ii)                         10101000

1’s complement         01010111

Decimal Equivalent

                           +81

          -127 + 46 = -81

          -127 + 40 = -87

                           +87



Binary Numbers

  • 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 Diminished Radix Complement 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. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 25, 25 12:21 PM

    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More