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What is the smallest number that can be represented in sign and magnitude integer format?

In sign and magnitude integer format, the smallest number is determined by the representation of the sign bit and the magnitude bits. For an n-bit representation, the smallest number is typically (- (2^{(n-1)} - 1)). For example, in an 8-bit format, the smallest number would be (-127), as the sign bit indicates negativity and the remaining bits represent the magnitude.


How do you find the magnitude of an integer?

The magnitude of an integer is the value of the integer with a positive (plus) sign. |5| = +5 = 5 |-5| = +5 = 5


What is binary of -37 using sign and magnitude representation?

In sign and magnitude representation, the first bit is used for the sign (0 for positive and 1 for negative). The magnitude of 37 in binary is 100101. To represent -37, we set the sign bit to 1, resulting in 1 100101. Thus, the binary representation of -37 in sign and magnitude is 1100101.


How do you find the magnitude of each integer?

Just remove the minus sign (if there is one), and what remains is the magnitude.


What are the advantages and disadvantages of using sign magnitude number representation?

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What are the disadvantages of sign magnitude?

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.


What are the rules for adding a positive and negative integer?

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.)


What is the rule of adding integers with unlike signs?

The magnitude of the answer is the difference between the two numbers and it has the sign of the integer which has the bigger magnitude. I guess so?


What is magnitude for integer -14?

The magnitude is +14


What are the magnitude and direction of the integer 58?

The magnitude of the integer '58' is 58. Integers have no units, dimensions, or direction.


What is the integer for -8?

There is no "integer for -8", but the integer with equivalent magnitude to -8 is 8


What is the sum that has the sign of an integer with what absolute value?

The sum that has the sign of an integer refers to the result of adding two or more integers together, where the resultant sum retains the positive or negative sign of the integer that has the greatest absolute value among the numbers being summed. The absolute value of this sum is simply the non-negative value of that sum, regardless of its sign. In essence, it captures both the sign and the magnitude of the resultant sum.