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What is the Largest 32 bit number?
It really depends how the numbers are encoded. With two common encodings, the largest numbers are the following:For an unsigned number (only allows storing zero and positive numbers), the largest number is 232 - 1 (approximately 4 billion).For a signed number (allows positive and negative numbers), the largest number is 231 - 1 (approximately 2 billion).
What is the main limitation of sign magnitude representation?
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.
Is the product or the quotinent of two signed numbers that have opposite signs a positive number or a negative number?
The answer will always be Negative in Sign. If they are the same sign, it will always be Positive in Sign.
Why is The product of a negative integer and a positive integer is always negative integer?
The rules for multiplying signed numbers may be formulated from the fact that multiplication serves as a shorthand notation for addition. For example, 4 x (−3), which means "4 times negative −3" is the same as the following: (-3) + (-3) + (-3) + (-3) = -12 Therefore, it follows that multiplication of a negative and positive number represents addition of negative numbers. This explanation with further content regarding mulitiplication of signed numbers may be referenced at: http://www.math.info/Arithmetic/Signed_Numbers_Mult
-1.6-6.2 Subtract the signed number by adding the opposite of the second number to the first?
-7.800000000000001
Difference between signed number from unsigned number?
a signed number is one that can be negative (have a sign) whereas an unsigned number will only be positive. due to less information, you can double the largest number storable in a signed integer to get the data available in an unsigned integer. However, PHP doesn't have unsigned integers, they're all signed.
How is negative 1 the largest negative number?
In a number line numbers grow up from left to right. So the negative numbers go toward zero, which is not a signed number, and separate negative from positive numbers(..., -50, ..., -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, ..., 50,...).So that -1 is the largest negative integer.
How can you represent a negative integer in a computer system?
There are many different ways this can be done using binary form:signed magnitude, one bit is the sign (i.e. 0=+, 1=-) and the other bits are the magnitude of the number (this is analogous to how we write negative integers on paper)ones complement, invert every bit of the magnitude of a number to get its negative formtwos complement, invert every bit of the magnitude of a number then add one to get its negative form (most computers now use this form as the arithmetic circuits to do calculations in this form are simpler and thus less expensive than for the other two.There are also corresponding ways this can be done using decimal forms (e.g. BCD, 2 of 5, excess-3)signed magnitude, one bit or digit is the sign (i.e. 0=+, 9=-) and the other digits are the magnitude of the number (this is analogous to how we write negative integers on paper)nines complement, subtract every digit of the magnitude of the number from 9 to get its negative formtens complement, subtract every digit of the magnitude of the number from 9 then add one to get its negative form
Is the quotient of two signed numbers that have opposite signs a positive number or a negative number?
negative
Why do you need signed and magnitude representations of binary numbers in computers?
Because the computer has to know how big the number is, and whether it's a positive or negative number. Otherwise, there would be a lot of wrong answers, and people would blame them on the computer.
What is the Largest 32 bit number?
It really depends how the numbers are encoded. With two common encodings, the largest numbers are the following:For an unsigned number (only allows storing zero and positive numbers), the largest number is 232 - 1 (approximately 4 billion).For a signed number (allows positive and negative numbers), the largest number is 231 - 1 (approximately 2 billion).
What does a signed decimal number mean?
Saying that a number is signed means it must be positive or negative. This simply excludes the possibility that the number is zero.
Largest positive and negative numbers for 8 bit signed numbers in decimal?
127 -128
Why are signed numbers used?
To indicated when a number is either positive or negative.
What is the largest number that can be stored in 16bits?
32767 signed, 65535 unsigned.
What combination of signed numbers always leads to a negative number?
If you're talking about multiplication or division, then opposite signs will result in a negative number.
What is the main limitation of sign magnitude representation?
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.
