diff --git a/BTP.markdown b/BTP.markdown
index f358b71..2a2da16 100644
--- a/BTP.markdown
+++ b/BTP.markdown
@@ -6,7 +6,7 @@ The underlying transport is not required to provide any security properties. We
 
 ### Notation
 
-We use || to denote concatenation, double quotes to denote an ASCII string, int(x) to denote x represented as a 64-bit signed big-endian integer, len(x) to denote the length of x in bytes, and pack(x) as shorthand for int(len(x)) || x.
+We use || to denote concatenation, double quotes to denote an ASCII string, int(x) to denote x represented as a 64-bit integer, len(x) to denote the length of x in bytes, and pack(x) as shorthand for int(len(x)) || x. All integers in BTP are big-endian.
 
 ### Crypto primitives
 
@@ -96,9 +96,9 @@ The remainder of the stream consists of one or more frames. Each frame has a fix
 The plaintext frame header is 4 bytes long with the following format:
 
 * Bit 0: Final frame flag, set to one if this is the last frame in the stream
-* Bits 1-15: Length of the data in bytes, as a big-endian integer
+* Bits 1-15: Length of the data in bytes as a 15-bit integer
 * Bit 16: Zero
-* Bits 17-31: Length of the padding in bytes, as a big-endian integer
+* Bits 17-31: Length of the padding in bytes as a 15-bit integer
 
 The plaintext frame body contains the data and padding. The total length of the data and padding must be less than 2^15 bytes. If any padding is present it must all be zeroes.
 
@@ -107,13 +107,13 @@ The header and body are encrypted and authenticated separately using the ephemer
 The nonce for the frame header is nonce_len bytes long with the following format:
 
 * Bit 0: Header flag, set to one
-* Bits 1-63: Frame number as a big-endian integer
+* Bits 1-63: Frame number as a 63-bit integer
 * Remaining bits: Zero
 
 The nonce for the frame body is nonce_len bytes long with the following format:
 
 * Bit 0: Header flag, set to zero
-* Bits 1-63: Frame number as a big-endian integer
+* Bits 1-63: Frame number as a 63-bit integer
 * Remaining bits: Zero
 
 > Implementation note: The final frame flag allows the recipient to detect the end of the stream without reading to EOF, which is not possible for all transports on all platforms.