What is the largest positive number that can be stored in a 16-bit signed magnit

Question

What is the largest positive number that can be stored in a 16-bit signed magnitude binary number?

What is the largest negative number that can be stored in a 16-bit signed magnitude binary number?

What is the decimal value for the following signed magnitude number, assuming the MSB is the sign bit?
011001102

What is the decimal value for the following signed magnitude number, assuming the MSB is the sign bit?
111001102

Calculate the sum of the problem below and leave answer in binary form. Assume the numbers are unsigned magnitude.
01100011
+00010001

Explanation / Answer

1. Largest Positive Number that can be stored in a 16-bit signed magnitude binary number :

                         Number of Bits : 16

                         Number of Values : 216 - 1    
                         Maximum Value(or Largest postive Number ) : 215 - 1

2. Largest Negative Number that can be stored in a 16-bit signed magnitude binary number :

                          Maximum Value(or Largest negative Number ) :     -(215 - 1)

3. Decimal value for the following signed magnitude number, assuming the MSB is the sign bit?
011001102 - Not possible to compute as it ends with "2" and in digital langauge we have only " 0 " or "1"

4. What is the decimal value for the following signed magnitude number, assuming the MSB is the sign bit?
111001102 - Not possible to compute as it ends with "2" and in digital langauge we have only " 0 " or "1"

5.         01100011
         + 00010001

_________________________

           01110100

________________________

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