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What is the range of numbers that can be encoded in 4 bits using 2s complement notation?
Wiki User
∙ 8y ago
Using 4 bits the signed range of numbers is -8 to 7.
When working with signed numbers one bit is the sign bit, thus with 4 bits this leaves 3 bits for the value. With 3 bits there are 8 possible values, which when using 2s complement have ranges:
for non-negative numbers these are 0 to 7;
for negative numbers these are -1 to -8.
Thus the range for signed 4 bit numbers is -8 to 7.
Wiki User
∙ 8y ago
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