How Do You Correctly Subtract Using 1's and 2's Complement in Binary?

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SUMMARY

The discussion focuses on the correct method for subtracting binary numbers using 1's and 2's complement. The user initially attempts to subtract the binary number 1 from 11 but encounters errors due to not aligning the bit lengths. The correct approach involves ensuring both numbers have equal bits, converting 1 to 01, and then applying the 1's complement followed by the 2's complement. The final result of the subtraction should yield 10 in binary, which is equivalent to 2 in decimal.

PREREQUISITES
  • Understanding of binary number representation
  • Knowledge of 1's complement and 2's complement methods
  • Familiarity with binary addition
  • Ability to manipulate bit lengths for binary operations
NEXT STEPS
  • Study the process of converting decimal numbers to binary
  • Learn about binary addition and its rules
  • Explore examples of 1's and 2's complement subtraction
  • Practice problems involving binary arithmetic with varying bit lengths
USEFUL FOR

Students learning binary arithmetic, computer science enthusiasts, and anyone interested in understanding binary subtraction techniques.

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i have to subtract binary numbers using the method where you take the 1's complement and then the 2's complement. but I am doing something wrong.

say for example 11-1. take 1's complement of 1 which is 0 and then take the 2's complement by adding 1 so 0+1=1 and now you go back and add this number to 11.

11+1=100 and you ignore the first value (1) and you end up with 00 and i know its TOTALLY messed up i just don't know where i went wrong. i know the actual answer should be 10 (or 2 in decimal)

thanks for any help
 
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oh i see what i did wrong. it needs to be of an equal number of bits so 1 becomes 01 AND THEN i take the 1's comp
 

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