Electronics and Communication Engineering - Digital Electronics - Discussion
Discussion Forum : Digital Electronics - Section 1 (Q.No. 22)
22.
The greatest negative number which can be stored is 8 bit computer using 2's complement arithmetic is
Answer: Option
Explanation:
The largest negative number is 1000 0000 = -128.
Discussion:
16 comments Page 1 of 2.
Dhanya said:
7 years ago
For 2's compliment representation, Range is {-2^(n-1) ) to +(2^(n -1))-1}.
Here n=8 ,then { (-2^(8-1)) to +(2^(8-1))-1}.
-2^7 to +(2^7)-1.
-128 to +127.
So, the greatest negative number in 2'compliment representation is - 128.
Here n=8 ,then { (-2^(8-1)) to +(2^(8-1))-1}.
-2^7 to +(2^7)-1.
-128 to +127.
So, the greatest negative number in 2'compliment representation is - 128.
(2)
Jagdish said:
4 years ago
The Greatest negative number will be the smallest no. Since in negatives as no. Increases value decreases. So, the greatest 8 bit negative number is 10000000 = -128.
Sudipta Majumder said:
1 decade ago
Greatest positive number = 01111111.
Taking 2's complement to get greatest negative number that is = 10000001.
Now put the formula and we get = -127.
Taking 2's complement to get greatest negative number that is = 10000001.
Now put the formula and we get = -127.
Sumesh said:
7 years ago
+128 = 10000000,
-128 =2's compliment of 10000000,
=1's compliment of 10000000 +1,
= 01111111 +1,
=1000000.
-128 =2's compliment of 10000000,
=1's compliment of 10000000 +1,
= 01111111 +1,
=1000000.
(1)
Tshering Dorji said:
5 years ago
Then, what is the way to find the largest negative and positive number for 1s complement and signed number?
Please, anyone, tell me.
Please, anyone, tell me.
(1)
Rekha.v said:
1 decade ago
The greatest negative number which you can represent using N bit (of course signed) could be -2^(N-1).
So for 8 bit 2^7 = -128.
So for 8 bit 2^7 = -128.
Rekha.v said:
1 decade ago
The greatest negative number which you can represent using N bit (of course signed) could be -2^(N-1).
So for 8 bit 2^7 = -128.
So for 8 bit 2^7 = -128.
Shubham said:
8 years ago
For 2's compliment.
The range is -(2^n-1) to +((2^n-1)-1) and this is different in the case of 1's and signed representation.
The range is -(2^n-1) to +((2^n-1)-1) and this is different in the case of 1's and signed representation.
Dhanya said:
7 years ago
-128 in 2's compliment form = 2's compliment of + 128.
+128 in binary form=01111111.
2's compliment of 01111111=10000001.
+128 in binary form=01111111.
2's compliment of 01111111=10000001.
(1)
Divyesh Makwana said:
8 years ago
The largest Negative number in 8 bit is 01111111 and 2's complement of it in 10000000 which is -127.
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