An industrial telemetry system is designed to transmit one of 135 unique machine status error codes. Determine the minimum number of binary digits (bits) required to represent all 135 codes, and the number of unused states that will remain in this binary representation.
8 bits, and 121 unused states
8 bits, and 128 unused states
7 bits, and 7 unused states
9 bits, and 377 unused states
117 exam-style questions on Edexcel GCSE Computer Science Binary, covering Binary representation and number of states, Unsigned and two's complement integers, Converting denary and 8-bit binary, Binary addition and binary shifts, Concept of overflow, and Hexadecimal notation and conversion. Each one has a worked solution and a mark scheme showing where the marks go.