Question

Convert the following algebraic expressions into computer expressions. (AB)+ (BC)

Answer 1

Answer:

Postfix:  AB  *BC * +

Prefix:  +  * AB * BC

Explanation:

The expression you used is called infix and is human understandable.

Post and prefix expressions are easy for ci=computers to evaluate using data structures like stack.

Pre-Understanding:

While being evaluated the following is the order of operation:

• ()  : Boxes
• ^:exponents
• *,/ : multiplication, division
• +,- : Addition and subtraction.

How to do it?:

Consider your question here (A*B)+(B*C).

Since the boxes need to be solved first (pre-understanding section),

While converting in post fix the operands are written first followed by operation performed on them.

The steps are:

• For (A*B) : AB *  
• For(B*C) : BC*
• Finally since (A*B)+(B*C) :  AB* BC*  +  

Since we are adding (A*B) and (B*C) in the last one.

The reverse is true for Prefix expressions they are:

• *AB
• *BC
• +*AB*BC