Question:
Using 8-bit numbers, find the 2's complement of -128.
Using 8-bit numbers, find the 2's complement of -128.
Show Hint
The most negative 8-bit number is
\[
10000000=(-128)
\]
and it has no positive counterpart within 8 bits.
Updated On: Jun 25, 2026
- 01111111
- 11000111
- 10000001
- 10000000
Show Solution
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The Correct Option is D
Solution and Explanation
Concept:
For an 8-bit signed number,
\[
-128
\]
is the minimum representable value.
Step 1: Write binary range.
\[ -128 \le N \le 127 \] for 8-bit 2's complement representation.
Step 2: Represent -128 directly.
\[ -128 = 10000000 \]
Step 3: State the result.
\[ \boxed{10000000} \]
Step 1: Write binary range.
\[ -128 \le N \le 127 \] for 8-bit 2's complement representation.
Step 2: Represent -128 directly.
\[ -128 = 10000000 \]
Step 3: State the result.
\[ \boxed{10000000} \]
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