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 2 of 2.
Pavan said:
7 years ago
And why 0111111 is largest? please explain.
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)
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)
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)
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.
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