5) Convert the following values as noted from 8 bit to 16 bits (show both values...
5) Convert the following values as noted from 8 bit to 16 bits (show both values
a. (Signed Magnitude) +8 b. (2s complement) +8
c. (signed magnitude) -8 d. (2s complement) -8
Homework Answers
5)
a.
In 8 bit representation,
the signed magnitude representation of the decimal value +8 is represented as :
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
In 16 bit representation,
the signed magnitude representation of the decimal value +8 is represented as :
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
b.
2's complement of a positive number is same as the binary value of a positive number.
In 8 bit representation,
the 2's complement representation of the decimal value +8 is represented as :
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
In 16 bit representation,
the 2's complement representation of the decimal value +8 is represented as :
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
c.
In 8 bit representation,
the signed magnitude representation of the decimal value -8 is represented as :
| 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
In 16 bit representation,
the signed magnitude representation of the decimal value -8 is represented as :
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 |
d.
In 8 bit representation,
sign extension method is applied and the 2's complement representation of the decimal value -8 is represented as :
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
In 16 bit representation,
sign extension method is applied and the 2's complement representation of the decimal value -8 is represented as :
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
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