Step 1: Understanding the Concept:
In Hofmann bromamide degradation: \(\text{R-CONH}_2 + \text{Br}_2 + 4\text{KOH} \rightarrow \text{R-NH}_2 + \text{K}_2\text{CO}_3 + 2\text{KBr} + 2\text{H}_2\text{O}\).
Step 2: Check (A), (C), (D):
(A) An amide is converted to a primary amine, true.
(C) The amine has one carbon fewer than the amide, so its molar mass is lower, true.
(D) The reagent is \(\text{Br}_2\) with aqueous KOH, true.
Step 3: Check (B):
The carbonyl carbon is lost as carbonate through an isocyanate intermediate. It is not reduced to \(\text{-CH}_2-\). Reduction of the carbonyl to \(\text{CH}_2\) happens when amide is reduced with \(\text{LiAlH}_4\), giving an amine with the same number of carbons. So (B) is false.
Final Answer:
The false statement is (B).
\[ \boxed{\text{(B)}} \]