# What Do You Know About Location Arithmetric?

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Questions: 10 | Attempts: 118  Settings  We owe the development of this technique to John Napier, an 17th century mathematician. It is described as the additive binary numerical systems with clear and concise rules. Are you ready to pass our quiz about this branch of mathematics? Take our quiz and see how you perform.

• 1.

### What's a binary notation?

• A.

It is a binary number expressed in base-3 numerical system.

• B.

It is a binary number expressed in base-2 numerical system/binary numerical system.

• C.

It is a binary number expressed in base-3 binary numerical system.

• D.

It is a number expressed in base-2 numerical system/binary numerical system.

B. It is a binary number expressed in base-2 numerical system/binary numerical system.
Explanation
A binary notation refers to a binary number expressed in the base-2 numerical system, also known as the binary numerical system. In this system, numbers are represented using only two digits, 0 and 1. Each digit's position in the number represents a power of 2. This notation is commonly used in computer science and digital electronics to represent and manipulate data.

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• 2.

### What's the purpose of a sign-value notation?

• A.

To represent numbers and symbols of numeric signs that added together equal the number represented

• B.

To represent symbols by a series of numeric signs that added together equal the number represented

• C.

To represent numbers by a series of numeric signs that added together equal the number represented.

• D.

To represent a series of numeric signs that added together equal the targeted result.

C. To represent numbers by a series of numeric signs that added together equal the number represented.
Explanation
A sign-value notation is used to represent numbers by using a series of numeric signs. These signs are added together to equal the number that is being represented. This notation allows for a concise and efficient way of expressing numbers without having to write out each individual digit. It is commonly used in various mathematical systems and helps in simplifying calculations and representations of numbers.

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• 3.

### What's the other name for positional notation?

• A.

Value notation

• B.

Place-value notation

• C.

Place notation

• D.

Arithmetic value

B. Place-value notation
Explanation
Place-value notation is the correct answer because it refers to a system of representing numbers in which the position of a digit determines its value. In this notation, each digit has a place value that is a power of the base of the number system. For example, in the decimal system, the digit "3" in the number "356" represents 3 hundreds because it is in the hundreds place. This system allows for efficient representation and computation of numbers in various number systems, such as decimal, binary, or hexadecimal.

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• 4.

### What's the first step in addition in the intuitive algorithm?

• A.

To substract similar symbols.

• B.

To rearrange smaller values.

• C.

To simplify the equation.

• D.

To rearrange the conjoined numerals digits.

D. To rearrange the conjoined numerals digits.
Explanation
The first step in addition in the intuitive algorithm is to rearrange the conjoined numerals digits. This means that when adding numbers, we need to align the digits properly so that we can perform the addition correctly. By rearranging the digits, we ensure that the ones place is aligned with the ones place, the tens place with the tens place, and so on. This allows us to add the corresponding digits together and carry over any excess to the next place value if necessary.

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• 5.

### What is a carry in arithmetic?

• A.

It is a digit that is transferred from 2 columns of digits to other columns of 1 significant digit.

• B.

It is a digit that is transferred from 2 columns of digits to other columns of more significant digits.

• C.

It is a digit that is transferred from 1 column of digits to another column of more significant digits.

• D.

It is a digit that is transferred from 1 column to another column of less significant digits

C. It is a digit that is transferred from 1 column of digits to another column of more significant digits.
Explanation
A carry in arithmetic is a digit that is transferred from one column of digits to another column of more significant digits. This occurs when the addition or subtraction of two digits in a column results in a value greater than 9. The carry digit is then carried over to the next column, increasing its value. This process allows for the accurate calculation of larger numbers.

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• 6.

### How is doubling done?

• A.

By adding a numeral to others.

• B.

By adding a numeral to itself.

• C.

By substracting a numeral to itself.

• D.

By adding a numeral to 3 others.

B. By adding a numeral to itself.
Explanation
Doubling is the process of multiplying a number by 2. In this case, the correct answer is "By adding a numeral to itself." This means that to double a number, you add the number to itself. For example, if you want to double the number 5, you would add 5 + 5, which equals 10.

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• 7.

### How was the Egyptian multiplication accomplished?

• A.

By multiplying 2 numbers that don't require the multiplication table.

• B.

By adding 2 numbers that don't require the multiplication table.

• C.

By substracting 2 numbers that don't require the multiplication table.

• D.

By multiplying 4 numbers that don't require the multiplication table.

A. By multiplying 2 numbers that don't require the multiplication table.
Explanation
Egyptian multiplication is a method of multiplication that involves repeatedly doubling one number and halving the other until the halving process reduces the second number to 1. The final step involves adding all the doubled values of the first number. This method does not require the use of a multiplication table as it relies on the concept of doubling and halving. Therefore, the correct answer is "By multiplying 2 numbers that don't require the multiplication table."

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• 8.

### What is a bisection method?

• A.

It a root-finding method that bisects an interval.

• B.

It a root-finding method that bisects an subinterval and then selects an initial interval

• C.

It a method that bisects an interval and then selects a subinterval.

• D.

It a root-finding method that bisects an interval and then selects a subinterval.

D. It a root-finding method that bisects an interval and then selects a subinterval.
Explanation
The bisection method is a root-finding method that starts with an interval and then selects a subinterval by bisecting the original interval. This process is repeated until a root of the function is found within a specified tolerance. By dividing the interval in half at each step, the method narrows down the search space and converges towards the root.

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• 9.

### What is a dichotomic search?

• A.

It's a search algorithm that operates by selecting between 2 distinct alternatives.

• B.

It's an algorithm that operates by selecting between 2 distinct alternatives.

• C.

It's a search algorithm that operates by selecting between 4 distinct alternatives.

• D.

It's a search algorithm that operates by selecting between 1 distinct alternative.

A. It's a search algorithm that operates by selecting between 2 distinct alternatives.
Explanation
A dichotomic search is a search algorithm that operates by selecting between 2 distinct alternatives. This means that during the search process, the algorithm continually divides the search space into two halves and selects the half that is most likely to contain the desired element. This process is repeated until the element is found or until it is determined that the element does not exist in the search space. By narrowing down the search space in this way, the dichotomic search algorithm can efficiently locate the desired element.

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• 10.

### What's a subtraction in arithmetic?

• A.

It is an operation that represents the operation of removing objects from a collection.

• B.

It is an arithmetic operation that represents the operation of removing objects from a collection.

• C.

It is an arithmetic operation that represents removing objects from a collection.

• D.

It is an arithmetic operation that represents the operation a collection.

B. It is an arithmetic operation that represents the operation of removing objects from a collection.
Explanation
Subtraction in arithmetic is an operation that represents the process of removing objects from a collection. This operation involves taking away a certain quantity from a given set or group. It is a fundamental arithmetic operation used to find the difference between two numbers or quantities.

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