Equation: BAD × HI = BOOZE. Each of the 8 unique letters (A, B, D, E, H, I, O, Z) represents a different digit. Leading letters (B, H) cannot be zero.

B=1, A=7, D=9, H=5, I=6, O=0, E=4, L=8, Z=2 → 179 × 56 = 10024

BAD × HI = BOOZE

What is this puzzle?

Solve the multiplication alphametic puzzle where BAD × HI = BOOZE. Each letter represents a unique digit from 0-9. No number starts with zero.

Difficulty: medium · Category: multiplication · Unique letters: 8

This medium-level multiplication alphametic puzzle features 8 unique letters (A, B, D, E, H, I, O, Z). In the equation BAD × HI = BOOZE, each letter maps to a distinct digit from 0 to 9. With only 8 of 10 digits used, 2 digits remain unused in the solution. The leading letters B and H cannot represent zero — this is your first constraint. The result "BOOZE" has more digits than any addend, which means there must be a carry into the leftmost position. This is a crucial clue for determining the result's leading letter.

This multiplication alphametic has 8 unique letters to determine.
Leading letters: B, H. None of these can be zero.
There are 8 unique letters, so 2 digits from 0–9 will not be used.
Consider the partial products and how they contribute to each column of the final result.
A moderate number of letters means you'll need logical deduction alongside trial and error.