Digital Electronics - Digital Arithmetic Operations and Circuits - Discussion
Discussion Forum : Digital Arithmetic Operations and Circuits - General Questions (Q.No. 4)
4.
Solving –11 + (–2) will yield which two's-complement answer?
Discussion:
5 comments Page 1 of 1.
Sahana said:
3 years ago
11 in binary -> 0000 1011.
2's complement of (0000 1011) is 1111 0101(-11)
2 in binary -> 0000 0010.
2's complement of (0000 0010) is 1111 1110(-2).
Now Add 1111 0101(-11) and 1111 1110(-2)
1111 0101 (-11)
+ 1111 1110 (-2)
------------------------
11111 0011
So, the Answer of -11 + (-2) is 1111 0011.
2's complement of (0000 1011) is 1111 0101(-11)
2 in binary -> 0000 0010.
2's complement of (0000 0010) is 1111 1110(-2).
Now Add 1111 0101(-11) and 1111 1110(-2)
1111 0101 (-11)
+ 1111 1110 (-2)
------------------------
11111 0011
So, the Answer of -11 + (-2) is 1111 0011.
(2)
Kiran said:
8 years ago
-11 + (-2) = -13.
2's complement of (- 13) = 1111 0011.
2's complement of (- 13) = 1111 0011.
(1)
MANISH said:
1 decade ago
-11 written in 2's complement
-11=0101 2's complement
& similar value of -2=1110 2'scomlement
then -11+(-2)
0101+1110=1 0011
MSD 1 REPRESENT NEGATIVE SIGN
-11=0101 2's complement
& similar value of -2=1110 2'scomlement
then -11+(-2)
0101+1110=1 0011
MSD 1 REPRESENT NEGATIVE SIGN
Manoja V. said:
8 years ago
Thank you @Kiran.
Anud said:
7 years ago
-11---
0000 1011
1111 0100(1s complement)
+1(add one)
-------------------
1111 0101(2s complement).
-2---
0000 0010
1111 1101(1s complement)
+1(add one)
------------------
1111 1110(2s complement).
(-11)+(-2);
1111 0101
1111 1110
-------------------
1111 0011.
0000 1011
1111 0100(1s complement)
+1(add one)
-------------------
1111 0101(2s complement).
-2---
0000 0010
1111 1101(1s complement)
+1(add one)
------------------
1111 1110(2s complement).
(-11)+(-2);
1111 0101
1111 1110
-------------------
1111 0011.
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