One of the bit patterns is wasted. Addition doesn't work the way we want it to.
Remember we wanted to have negative binary numbers so we could use our binary addition algorithm to simulate binary subtraction. How does signed magnitude fare with addition? To test it, let's try subtracting 2 from 5 by adding 5 and -2. A positive 5 would be represented with the bit pattern '0101B' and -2 with '1010B'. Let's add these two numbers and see what the result is:
0101
0010
-----
0111
Now we interpret the result as a signed magnitude number. The sign is '0' (non-negative) and the magnitude is '7'. So the answer is a postive 7. But, wait a minute, 5-2=3! This obviously didn't work. Conclusion: signed magnitude doesn't work with regular binary addition algorithms.
Add the magnitudes of the integers (-4 has a magnitude of 4), then take the sign to the answer.
It is stretching it a bit, but it could be argued that every number has a magnitude and a sign.
When you have two negatives, you add the magnitudes, but since, you have both negatives, the direction of the resultant magnitude is along the negative direction, so you add the magnitude and put the negative sign.
It is the sign that is opposite, not the number But if the number magnitude is the same, it is correct to say that ,for example, negative 6 is the opposite of positive six. But negative 4 is not the opposite of negative 8, for example
If the fraction is already positive, then it is also the absolute value. If the fraction is negative, just change the sign and it becomes the absolute value. Absolute value means the magnitude (value) of the fraction without any sign attribute.
boob
One disadvantage of sign-magnitude representation is that it has two representations for zero (positive zero and negative zero), which can lead to confusion in arithmetic operations. Additionally, sign-magnitude representation is not suitable for comparison operations, as it requires additional steps to check for equality because of the separate sign bit.
signed magnitude
Sign . . . negative Magnitude . . . 33
The magnitude of a real number is its value without regard to its sign.
The magnitude of the sum is the difference between the magnitudes of the two numbers. The sign of the sum is the sign of the number with the larger magnitude. (The "magnitude" of a number is just the size of the number without any sign.)
neg, neg, less APEX :)
Absolute value of any number is just the magnitude without any sign attached to it. For positive numbers the magnitude is the value of the number. For negative numbers just remove the negative sign and you will have the magnitude. In this case the magnitude is 7.61
Just remove the minus sign (if there is one), and what remains is the magnitude.
10
The answer will have the same sign as the number with the larger magnitude.
The sum will have the same sign as the number with the largest magnitude. If the numbers have the same magnitude, then the answer is zero, which is positive.