Binary Subtraction using One's Complement Video Lecture - Digital Electronics

in this tutorial we will see how to
subtract binary numbers using one's
complement we'll see two different cases
first we'll solve the example 1 let the
numbers as x and y first find the ones
complement of y y is 1 0 1 0 1 1 to find
ones complement just we have to change
all ones to 0 and all zeros to 1 0
becomes 1 1 becomes 0 0 become 1 1 will
be 0 this is once complement then add X
and once complement of Y which is 0 1 0
1 0 0 add this 0 1 + 0 1 0 plus 1 1 1 +
0 1 1 + 1 0 carry 1 1 + 1 0 carry 1 in
step 2 Cary's produced this carry is
called as the Ender and carry add this
carry with the LSB of the sum add this 0
+ 1 1 1 1 1 0 0 the final answer is 1 1
1 pays - we can leave the leading these
two zeros next we'll solve the example -
let's take the numbers as x and y step 1
find the ones complement of y y is 1 1 0
0 0 1 find ones complement it will be 1
becomes 0 0 is 1 0 is 1 0 1 1 will
become 0
this one will be 0 this is once
complement in step 2 add X 1 0 0 1 1 0
and once complement of y which is 0 0 1
1 0 add this 0 1 + 1 sum is 0 carry 1 1
+ 1 + 1 sum is 1 carry 1
one plus one sum is zero carry 1 1 1 in
step 2 we do not have any carry so take
one's complement for the sum 0 will be 1
1 becomes 0 0 become 1 1 becomes 0 1
becomes 0 finally assign negative sign
to this so the final answer is minus 0 0
1 0 1 1 base 2 we can leave this leading
to 0 so the answer is minus 1 0 1 1 base
2 will summarize these steps first find
the ones complement for the suppression
then add first number and ones
complement of the subtrahend if carry is
produced in the addition add the carry
with the LSB of the sum if there is no
carry take once compliment for the sum
and assign the negative sign thank you