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# How are real numbers expressed in binary?

Updated: 9/25/2023

Wiki User

8y ago

The same as real numbers are expressed in decimal, except only the digits 0 and 1 are used (instead of 0 to 9) and the separator between the integer and fraction part is called the binary point (instead of the decimal point). The sign if needed is the same as in decimal.

Wiki User

8y ago

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Q: How are real numbers expressed in binary?
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### How would the number 231 be expressed as a binary number?

231 written in binary numbers is 11100111

### What is the sum of the first 8192 terms of the binary sequence?

Expressed in decimal, the sum of the numbers 1 to 8192 is 33558528 - expressed in binary, this number is equal to 10000000000001000000000000.

### How does the commutative property describe the real numbers?

For the set of real numbers, R, a binary operation is a function from R X R into R, where R X R is the x-y plane. A binary operation is commutative if the value returned by the operation is the same regardless of the order of the operands. For real numbers the two most basic commutative binary operations are addition and multiplication and they can be expressed in the following way:If a and b are any two real numbers then a + b = b + a (addition is commutative) and ab = ba ( multiplication is commutative).

### How can a real number that can be expressed as a fraction?

Some real numbers can be expressed as a rational fraction.

### Can a decimal be a real number?

All decimals are real numbers and all real numbers can be expressed as decimals.

### How are irrational numbers different from other real numbers?

Rational numbers can be expressed as a ratio of two integers, irrational numbers cannot be expressed in that way.

### Can irrational numbers be real numbers?

Yes but they can't be expressed as fractions

### Are some rational numbers are real numbers?

aationals are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

### Is real numbers are rational or irrational?

Real numbers are both. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

### Real numbers are not rational numbers?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. NOt all real numbers are rational.

### Is this ture that all irrational numbers are real numbers?

Ye it is true that all irrational numbers are real numbers that can't be expressed as fractions.

### Why do some real number are rational number?

Rational numbers are numbers that can also be expressed as fractions whereas irrational numbers can't be expressed as fractions,