Question

What range of decimal numbers can be represented by 16-bit, two’s complement numbers?

What range of decimal numbers can be represented by 16-bit, two’s complement numbers?

Homework Answers

Answer #1
Smallest binary numbers can be represented by 16-bit, two’s complement numbers = 1000000000000000
Smallest decimal numbers can be represented by 16-bit, two’s complement numbers = -2^15 = -32768

Largest binary numbers can be represented by 16-bit, two’s complement numbers = 0111111111111111
Largest decimal numbers can be represented by 16-bit, two’s complement numbers = 2^15 - 1 = 32767

So, The range of decimal numbers can be represented by 16-bit, two’s complement numbers is [-32768,32767]

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