Binary Subtraction
Binary subtraction is also similar to that of decimal subtraction with
the difference that when 1 is subtracted from 0, it is necessary to borrow 1
from the next higher order bit and that bit is reduced by 1 (or 1 is added to
the next bit of subtrahend) and the remainder is 1.
Thus the rules of binary subtraction are as follows:
|
0 - 0 = 0 1 - 0 = 1 1 - 1 = 0 0 - 1 = 1 with a borrow of 1
|
Binary Subtraction Table
|
For fractional numbers, the rules of subtraction are the same with the
binary point properly placed.
A clear concept on few examples will make the procedure of binary subtraction:
Subtract the following numbers:
Solution:
101 from 1001
1 Borrow
1 0 0 1
1 0 1
1 0 0
ii) 111 from 1000
Solution:
111 from 1000
1 Borrow
1 0 0 0
1 1 1
0 0 0 1
iii) 1010101.10 from 1111011.11
Solution:
1010101.10 from 1111011.11
1 Borrow
1 1 1 1 0 1 1 . 1 1
1 0 1 0 1 0 1 . 1 0
1 0 0 1 1 0 . 0 1
iv) 11010.101 from 101100.011
Solution:
11010.101 from 101100.011
1 1 1 Borrow
1 0 1 1 0 0 . 0 1 1
1 1 0 1 0 . 1 0 1
1 0 0 0 1 . 1 1 0
- 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
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