In the geometric depiction of two's complement integers, what does '1110' represent?
Understand the Problem
The question is asking what the two's complement representation of the binary number '1110' corresponds to in decimal form. To solve this, we need to convert '1110' from binary to decimal while understanding how two's complement works.
Answer
In 4-bit two's complement, '1110' represents -2.
'1110' represents -2 in the two's complement form for 4 bits.
Answer for screen readers
'1110' represents -2 in the two's complement form for 4 bits.
More Information
In two's complement arithmetic, the leftmost bit indicates the sign of the number. For 4-bit numbers, '1110' has a leading '1', indicating a negative value.
Tips
A common mistake is not accounting for the leftmost bit as the sign bit in 2's complement representation.
Sources
- 2's complement data representation - binary - Stack Overflow - stackoverflow.com
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