Half-value layers are exact repeated halvings. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Each half-value layer halves the count rate

3 exact half-value layers turn 64 per second into 8 per second.

64÷8=864\div8=8
Half-value layer ledgerOnly exact repeated halvings are in scope.half-layerinitial=64 1/sfinal=8 1/slayers=3

The visible chain is a multiplication by one half

The checked chain is 64 to 32 to 16 to 8.

643216864\to32\to16\to8
Half-layer chainNo cross-section table is hidden here.half-layerinitial=64 1/sfinal=8 1/slayers=3