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teng125
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for 10011101 and 11001100 ,what is the decimal value in sign magnitude format (8bits) ??
pls help
pls help
The decimal value of 10011101 in sign magnitude is -125. The first bit (1) represents the sign, with 1 indicating a negative number. The remaining 7 bits (0011101) represent the magnitude, which can be translated to the decimal value of 29. However, since the sign bit is 1, the overall value is -29.
The decimal value of 11001100 in sign magnitude is -204. The first bit (1) represents the sign, with 1 indicating a negative number. The remaining 7 bits (1001100) represent the magnitude, which can be translated to the decimal value of 76. However, since the sign bit is 1, the overall value is -76.
To convert a binary number in sign magnitude to its decimal value, first determine the sign by looking at the first bit. If it is 0, the number is positive and the remaining bits represent the magnitude. If it is 1, the number is negative and the remaining bits represent the magnitude. Then, convert the magnitude to its decimal value. Finally, add a negative sign if the overall value is negative.
One advantage of using sign magnitude to represent numbers is that it allows for the representation of both positive and negative numbers. This is especially useful in computer science and engineering, where negative values are often needed for calculations and data storage. Additionally, sign magnitude is a simple and intuitive way to represent numbers, making it easy for humans to understand and work with.
One limitation of using sign magnitude to represent numbers is that it is not as efficient as other methods, such as two's complement or one's complement. This is because it requires an extra bit to represent the sign, which means fewer bits are available to represent the magnitude. Additionally, sign magnitude cannot represent 0 in a unique way, as both positive and negative numbers have a sign bit of 0. This can lead to confusion and errors in calculations involving 0.