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The largest binary number that can be expressed with 16 bits is 1111111111111111, which is equivalent to 65,535 in decimal. This number uses all 16 bits set to 1. In general, for an n-bit binary number, the maximum value is (2^n - 1). Thus, for 16 bits, it is (2^{16} - 1 = 65,535).
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6 bits 111110 = 32 + 16 + 8 + 4 + 2 + 0
a group of 16 bits is called a "word"
2^16-1= 65536