Question:
In Boolean algebra, which of the following statements is true regarding SOP and POS forms?
In Boolean algebra, which of the following statements is true regarding SOP and POS forms?
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Sum of Products = AND the literals first, then OR the terms.
Updated On: Jul 2, 2026
- SOP results in a circuit with AND gates followed by OR gates.
- SOP is a canonical form, but POS is not.
- SOP is expressed using maxterms, while POS is expressed using minterms.
- POS is always more simplified than SOP.
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The Correct Option is A
Solution and Explanation
Step 1: SOP means Sum of Products. Each product term ANDs the literals together, then all product terms are ORed to form the sum.
Step 2: In hardware this is a two-level circuit: a layer of AND gates whose outputs feed a final OR gate. So SOP gives AND gates followed by OR gates.
Step 3: The other options are wrong: both SOP and POS have canonical forms, SOP uses minterms (POS uses maxterms), and neither form is always simpler than the other.
Step 2: In hardware this is a two-level circuit: a layer of AND gates whose outputs feed a final OR gate. So SOP gives AND gates followed by OR gates.
Step 3: The other options are wrong: both SOP and POS have canonical forms, SOP uses minterms (POS uses maxterms), and neither form is always simpler than the other.
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