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Codiode/Problems/Combinational Logic

Two's Complement: Decode a Negative Bit Pattern

EasyLogic CircuitAnalyze

Hardware debuggers and memory dumps present raw binary data that engineers must manually translate into signed integers.

An 8-bit register contains the bit pattern 1010 0011. The system uses standard two's complement representation for signed integers.

Determine the exact decimal value of this stored byte. Identify the positional weight of the most significant bit and trace the conversion steps to find the final magnitude and sign.

Constraints

  • The bit pattern is exactly 8 bits long.
  • The most significant bit determines the sign of the value.
  • Standard two's complement encoding rules apply.

Topics

binarytwos-complementdata-representation

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