4-bit unsigned integer divider as threshold circuit using restoring division algorithm.
Circuit
A[3:0] ──┐ (dividend, 0-15)
├──► Divider ──┬──► Q[3:0] (quotient)
B[3:0] ──┘ (divisor, 1-15) └──► R[3:0] (remainder)
A = Q × B + R, where R < B
Algorithm (Restoring Division)
P = 0 (partial remainder)
for i = 3 downto 0:
P = (P << 1) | A[i] // shift in next dividend bit
diff = P - B
if diff >= 0: // P >= B
Q[i] = 1
P = diff // keep subtraction result
else:
Q[i] = 0 // restore P (don't subtract)
R = P (final remainder)
from safetensors.torch import load_file
w = load_file('model.safetensors')
# Division by zero returns Q=15, R=0# All 240 test cases verified (16 × 15 non-zero divisors)
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