Define the term Hierarchy of operations.Write the hierarchical order of the arithmetic operators in QBasic.
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Hierarchy Of Operations
In a programming language, when an expression involves multiple operations, the hierarchy of operations instructs the compilers and interpreters on the order in which the expression has to be executed. Usually, the expression consists of operations like, addition, subtraction, multiplication, division, exponents, and parentheses.
The hierarchy of operations is as follows:
• Parentheses ()
• Exponents
• Multiply or Divide
• Addition or Subtraction
Parentheses
Execution of the expressions inside the parentheses starting from the innermost parenthesis. Other than parentheses the special characters like brackets [ ], braces { } and square root also fall under this category.
Exponents
After solving the operations in the parentheses, choose the exponents for execution.
Multiplication or Division
The order of multiplication and division in an expression has the third priority. Perform the multiplication or division operation in the left to right order.
Addition or Subtraction
The order of addition or subtraction in an expression has the last priority. Perform the addition or subtraction operation in the left to right order.
Example:
Solve the following expression:
a = 3*2/2+2/2+6-1+5/8
a = 3*2/2+2/2+6-1+5/8
a = 6 / 2 + 2 /2 + 6 - 1 + 5 / 8
operation: *
a= 3 + 2 / 2 + 6 - 1 + 5 / 8
operation: /
a = 3 + 1+ 6 - 1 + 5 / 8
operation: /
a = 3 + 1 + 6 - 1 + 0
operation: /
a = 4 + 6 - 1 + 0
operation: +
a = 10 - 1 + 0
operation: +
a = 9 + 0
operation: -
a = 9
operation: +
In a programming language, when an expression involves multiple operations, the hierarchy of operations instructs the compilers and interpreters on the order in which the expression has to be executed. Usually, the expression consists of operations like, addition, subtraction, multiplication, division, exponents, and parentheses.
The hierarchy of operations is as follows:
• Parentheses ()
• Exponents
• Multiply or Divide
• Addition or Subtraction
Parentheses
Execution of the expressions inside the parentheses starting from the innermost parenthesis. Other than parentheses the special characters like brackets [ ], braces { } and square root also fall under this category.
Exponents
After solving the operations in the parentheses, choose the exponents for execution.
Multiplication or Division
The order of multiplication and division in an expression has the third priority. Perform the multiplication or division operation in the left to right order.
Addition or Subtraction
The order of addition or subtraction in an expression has the last priority. Perform the addition or subtraction operation in the left to right order.
Example:
Solve the following expression:
a = 3*2/2+2/2+6-1+5/8
a = 3*2/2+2/2+6-1+5/8
a = 6 / 2 + 2 /2 + 6 - 1 + 5 / 8
operation: *
a= 3 + 2 / 2 + 6 - 1 + 5 / 8
operation: /
a = 3 + 1+ 6 - 1 + 5 / 8
operation: /
a = 3 + 1 + 6 - 1 + 0
operation: /
a = 4 + 6 - 1 + 0
operation: +
a = 10 - 1 + 0
operation: +
a = 9 + 0
operation: -
a = 9
operation: +
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