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What are 1's and 2's complement numbers explain?
1's complement numbers are those numbers which are obtain after converting 1 to 0 and 0 to 1. for e.g. 110010 1's complement of this number is:001101 2's complement is obtain by adding 1 in 1's complement of number. for e.g. 2's complement of above number:001101 + 1 --------------- 001110
What is a real number represented by?
The set of real numbers is represented by a fancy script "R". However, real numbers are just represented by a number (be it integer, rational, irrational, or otherwise). The key here is that it is not a complex number (number containing the imaginary number "i").
How many decimal numbers can be represented by 4-bits?
There are 16 decimal numbers that can be represented by 4-bits.
Can irrational numbers cannot be represented by points on the real number line?
These number can also be represented on real line.
What is the 8-bit sign-and-magnitude representation of the decimal number -2?
10
Describe the range of numbers that can be represented by a 16 bit number using two complement?
A signed 16 bit number can represent the decimal numbers -32768 to 32767.
How do you write an irrational number in algebra?
There is no representation for irrational numbers: they are represented as real numbers that are not rational. The set of real numbers is R and set of rational numbers is Q so that the set of irrational numbers is the complement if Q in R.
How does overflow affect the behavior of two's complement numbers, specifically in making them act as negative values?
Overflow in two's complement numbers occurs when the result of an arithmetic operation exceeds the range that can be represented by the given number of bits. This can cause the number to "wrap around" and appear as a negative value. For example, if adding two positive numbers results in a value greater than the maximum positive value that can be represented, the number will overflow and be interpreted as a negative value.
Difference in 1's and 2's Complement?
1's Complement, has two different codes for the number 0 (+0 & -0), negative numbers are the simple binary complement of positive numbers, is symmetrical (same number of negative and positive numbers can be represented), adder/subtractor must implement wraparound carry from MSB to LSB to get correct answer2's Complement, has only one code for the number 0 (+0), negative numbers are 1 greater than the simple binary complement of positive numbers, is asymmetrical (one extra negative number than positive numbers), adder/subtractor is identical to a simple unsigned binary adder/subtractor without any special carry circuits needed
What are 1's and 2's complement numbers explain?
1's complement numbers are those numbers which are obtain after converting 1 to 0 and 0 to 1. for e.g. 110010 1's complement of this number is:001101 2's complement is obtain by adding 1 in 1's complement of number. for e.g. 2's complement of above number:001101 + 1 --------------- 001110
Explain the methods which are available to store negative numbers and how are they used. Which method is mainly used today and why?
signed magnitude, one bit indicates the sign of the number and the other bits indicate the positive magnitude of the number (this system has two representations for zero: +0 and -0)one's complement, positive numbers are represented as their positive magnitude and negative numbers are represented as the complement of their positive magnitude (this system has two representations for zero: +0 and -0)two's complement, positive numbers are represented as their positive magnitude and negative numbers are represented as the complement of their positive magnitude plus one (this system is asymmetric about zero, with one more negative value than positive)offset binary, numbers are represented as the positive sum of their actual value and an offset (this system is asymmetric about zero, typically with one more negative value than positive)Most modern systems use two's complement for fixed point numbers (because the arithmetic circuitry is simpler than the others) and a combination of signed magnitude and offset binary for floating point numbers (because this format allows the same instructions for comparing fixed point numbers to also be used to compare floating point numbers, reducing the number of different instructions and the circuitry to implement them),
What is a real number represented by?
The set of real numbers is represented by a fancy script "R". However, real numbers are just represented by a number (be it integer, rational, irrational, or otherwise). The key here is that it is not a complex number (number containing the imaginary number "i").
How does 1's complement addition work and what are its key features?
In 1's complement addition, negative numbers are represented by flipping all the bits of the positive number. To add two numbers, you add them as usual and then adjust for any carry that occurs. Key features include simplicity of implementation and the ability to represent both positive and negative numbers using the same operations.
How many decimal numbers can be represented by 4-bits?
There are 16 decimal numbers that can be represented by 4-bits.
Can irrational numbers cannot be represented by points on the real number line?
These number can also be represented on real line.
Do irrational numbers repeat?
No. Irrational numbers are those that cannot be represented as a fractions. Any number which repeats could be represented as a fraction.
What is the 8-bit sign-and-magnitude representation of the decimal number -2?
10
