Subscribe to our YouTube channel for the latest videos, updates, and tips.


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. Calculating Profit Percent and Loss Percent | Profit and Loss Formulas

    Jun 12, 25 12:48 PM

    In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil

    Read More

  2. Word Problems on Profit and Loss Worksheet |Cost Price |Selling Price

    Jun 11, 25 04:26 PM

    Word Problems on Profit and Loss Worksheet
    In word problems on profit and loss worksheet you will get different types of problems on cost price and selling price, profit and loss, calculating profit o loss, calculating selling price and cost p…

    Read More

  3. Round off to Nearest 1000 |Rounding Numbers to Nearest Thousand| Rules

    Jun 11, 25 03:12 PM

    Round off to Nearest 1000
    Round off to nearest 1000 is discussed here. While rounding off to the nearest 1000, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by ‘0’. If the d…

    Read More

  4. Round off to Nearest 100 | Rounding Numbers To Nearest Hundred | Rules

    Jun 11, 25 03:13 AM

    Round off to Nearest 100
    While rounding off to the nearest hundred, if the digit in the tens place is between 0 – 4 i.e. < 5, then the tens place is replaced by ‘0’. If the digit in the units place is equal to or >5, then the…

    Read More

  5. Round off to Nearest 10 |How To Round off to Nearest 10?|Rounding Rule

    Jun 10, 25 05:36 PM

    Rounding to the Nearest 10
    Round off to nearest 10 is discussed here. Rounding can be done for every place-value of number. To round off a number to the nearest tens, we round off to the nearest multiple of ten. A large number…

    Read More