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Convert the expression ((A + B) * C – (D – E) ^ (F + G)) to equivalent Prefix notation.Options^ - * +ABC + DE - FG^ + * -ABC - DE + FG^ * - +ABC - DE + FG^ - * +ABC - DE + FG

Question

Convert the expression ((A + B) * C – (D – E) ^ (F + G)) to equivalent Prefix notation.Options^ - * +ABC + DE - FG^ + * -ABC - DE + FG^ * - +ABC - DE + FG^ - * +ABC - DE + FG

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Solution 1

The expression ((A + B) * C – (D – E) ^ (F + G)) can be converted to equivalent Prefix notation as follows:

  1. Start from the innermost parentheses: (A + B) and (D - E). In prefix notation, the operator precedes the operands, so these become +AB and -DE respectively.

  2. Replace these in the original expression: (* +AB C) – (^ -DE +FG). Again, move the operators before the operands to get *+ABC and ^-DE+FG.

  3. Replace these in the original expression: - *+ABC ^-DE+FG.

So, the equivalent prefix notation of the given expression is: - *+ABC ^-DE+FG.

Therefore, the correct option is: ^ * - +ABC - DE + FG.

This problem has been solved

Solution 2

The expression ((A + B) * C – (D – E) ^ (F + G)) can be converted to equivalent Prefix notation as follows:

  1. Start from the innermost parentheses: (A + B) and (D - E). In prefix notation, the operator precedes the operands, so these become +AB and -DE respectively.

  2. Replace these in the original expression: (* +AB C) – (^ -DE +FG). Again, move the operators before the operands: *+ABC and ^-DE+FG.

  3. Replace these in the original expression: (* +AB C) – (^ -DE +FG). Move the operator before the operands: -*+ABC^-DE+FG.

So, the equivalent prefix notation of the given expression is -*+ABC^-DE+FG. Therefore, the correct option is ^ * - +ABC - DE + FG.

This problem has been solved

Similar Questions

Convert the expression ((A + B) * C – (D – E) ^ (F + G)) to equivalent Postfix notation.OptionsAB + C * DE - FG + ^ -AB + C * DE - - FG ^ +AB + C * DE + - FG - ^AB + C - DE * - FG + ^

11. The prefix form of A-B/ (C * D ^ E) is?a) -A/B*C^DEb) -A/BC*^DEc) -ABCD*^DEd) -/*^ACBDE

The postfix form of the expression (G+ F)*(E*D- C)*B / A is?GF+ ED*C - BA /**GF + ED* C- B **A/GF+ EDC * - * B *A /GF + ED* C - *B *A /

he postfix form of the expression (G+ F)*(E*D- C)*B / A is?

Which of the following is the prefix form of A+B*C?OptionsABC+*+A*BC+AB*CA+(BC*)

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