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Decimal to Binary and Bit Manipulation
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Decimal to Binary and Bit Manipulation

EasyPython

Problem

An Analog Devices ADuCM355 firmware routine needs to inspect and update a register value. Given a nonnegative decimal integer, convert it to a fixed-width binary representation and apply one operation to a specified bit.

Implement manipulate_register_bits(value, width, bit_index, operation). Bit index 0 is the least significant bit. The operation is one of "set", "clear", or "toggle". Return the resulting value as a binary string of exactly width characters, including leading zeroes.

Formal Specification

  • Input: integers value, width, and bit_index, plus a string operation.
  • Output: a binary string representing the modified value, from most significant bit to least significant bit.
  • Do not use Python's bin() function. Use bitwise operators and formatting or equivalent logic.

Constraints

  • 0 <= value < 2^width
  • 1 <= width <= 32
  • 0 <= bit_index < width
  • operation is one of "set", "clear", or "toggle"

Function Signature

def manipulate_register_bits(value, width, bit_index, operation):
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