![]() Converting Two’s Complement Fixed-Point to Decimal No matter how many bits you use in your two’s complement representation, -1 decimal is always a string of 1s in binary. Here is the same table, but listed in binary lexicographical order: Four-Bit Two’s Complement Values Two’s Complement If you run those two’s complement values through the two’s complement to decimal converter, you will confirm that the conversions are correct. (If you strip the leading zeros, you’ll get the pure binary representation of the number.) Negative integers always start with a ‘1’. Nonnegative integers always start with a ‘0’, and will have as many leading zeros as necessary to pad them out to the required number of bits. Here’s what the decimal to two’s complement converter returns for these 16 values: Four-Bit Two’s Complement Values Decimal Number For example, let’s start with 4 bits, which can represent 16 decimal numbers, the range -8 to 7. The best way to explore two’s complement conversion is to start out with a small number of bits. Exploring Properties of Two’s Complement Conversion The output will be a positive or negative decimal number.
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