Sign-Magnitude Number Range in 34-Bit Representation

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SUMMARY

The range of sign-magnitude numbers that can be represented with 34 bits is from -233 to 233 - 1. This is derived from the formula for sign-magnitude representation, where one bit is used for the sign and the remaining bits represent the magnitude. Specifically, for 34 bits, the sign bit is the most significant bit, leaving 33 bits for the magnitude, resulting in a total range of -8,589,934,592 to 8,589,934,591.

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  • Understanding of binary number systems
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1.What is range of sign-magnitude numbers that can be represented with 34-bits

I kind of get it but I'm not sure, I know it has something to do with -2^n -1, 2^n-1 but I'm not sure how to represent it or what the question is really asking. Can anyone help?
 
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You are correct. Clue: the n is 34 in your case.
 

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