diff --git a/45.md b/45.md
index a5ce02d..d2af7c2 100644
--- a/45.md
+++ b/45.md
@@ -43,11 +43,11 @@ This is so it enables merging results from multiple relays and yielding a reason
 
 This section describes the steps a relay should take in order to return HLL values to clients.
 
-1. Upon receiving a filter, if it has a single `#e`, `#p`, `#a` or `#q` item, read its 32th ascii character as a byte and take its modulo over 24 to obtain an `offset` -- in the unlikely case that the filter doesn't meet these conditions, set `offset` to the number 16;
-2. Initialize 256 registers to 0 for the HLL value;
+1. Upon receiving a filter, if it has a single `#e`, `#p`, `#a` or `#q` item, read its 32th ascii character as a nibble (a half-byte, a number between 0 and 16) and add `8` to it to obtain an `offset` -- in the unlikely case that the filter doesn't meet these conditions, set `offset` to the number `16`;
+2. Initialize 256 registers to `0` for the HLL value;
 3. For all the events that are to be counted according to the filter, do this:
     1. Read byte at position `offset` of the event `pubkey`, its value will be the register index `ri`;
-    2. Count the number of leading zero bits starting at position `offset+1` of the event `pubkey`;
+    2. Count the number of leading zero bits starting at position `offset+1` of the event `pubkey` and add `1`;
     3. Compare that with the value stored at register `ri`, if the new number is bigger, store it.
 
 That is all that has to be done on the relay side, and therefore the only part needed for interoperability.