diff --git a/predicates/predicates.md b/predicates/predicates.md
index 01c88a4c74f..7226db725cb 100644
--- a/predicates/predicates.md
+++ b/predicates/predicates.md
@@ -163,18 +163,62 @@ chain_id/1 is a predicate which unifies the given term with the current chain ID
 The signature is as follows:
 
 ```text
-chain_id(?chain_id/1)
+chain_id(?ID)
 ```
 
 where:
 
-- chain_id/1 represents the current chain ID at the time of the query.
+- ID represents the current chain ID at the time of the query.
 
 Examples:
 
 ```text
 # Query the current chain ID.
-- chain_id(chain_id/1).
+- chain_id(ID).
+```
+
+## crypto_data_hash/3
+
+crypto_data_hash/3 is a predicate that computes the Hash of the given Data using different algorithms.
+
+The signature is as follows:
+
+```text
+crypto_data_hash(+Data, -Hash, +Options) is det
+crypto_data_hash(+Data, +Hash, +Options) is det
+```
+
+Where:
+
+- Data represents the data to be hashed, given as an atom, or code\-list.
+- Hash represents the Hashed value of Data, which can be given as an atom or a variable.
+- Options are additional configurations for the hashing process. Supported options include: encoding\(\+Format\) which specifies the encoding used for the Data, and algorithm\(\+Alg\) which chooses the hashing algorithm among the supported ones \(see below for details\).
+
+For Format, the supported encodings are:
+
+- utf8 \(default\), the UTF\-8 encoding represented as an atom.
+- hex, the hexadecimal encoding represented as an atom.
+- octet, the raw byte encoding depicted as a list of integers ranging from 0 to 255.
+
+For Alg, the supported algorithms are:
+
+- sha256 \(default\): The SHA\-256 algorithm.
+- sha512: The SHA\-512 algorithm.
+- md5: \(insecure\) The MD5 algorithm.
+
+Note: Due to the principles of the hash algorithm \(pre\-image resistance\), this predicate can only compute the hash value from input data, and cannot compute the original input data from the hash value.
+
+Examples:
+
+```text
+# Compute the SHA-256 hash of the given data and unify it with the given Hash.
+- crypto_data_hash('Hello OKP4', Hash).
+
+# Compute the SHA-256 hash of the given hexadecimal data and unify it with the given Hash.
+- crypto_data_hash('9b038f8ef6918cbb56040dfda401b56b...', Hash, encoding(hex)).
+
+# Compute the SHA-256 hash of the given hexadecimal data and unify it with the given Hash.
+- crypto_data_hash([127, ...], Hash, encoding(octet)).
 ```
 
 ## did_components/2
@@ -384,31 +428,6 @@ String = 'Hello World'
 Length = 11
 ```
 
-## sha_hash/2
-
-sha_hash/2 is a predicate that computes the Hash of the given Data.
-
-The signature is as follows:
-
-```text
-sha_hash(+Data, -Hash) is det
-sha_hash(+Data, +Hash) is det
-```
-
-Where:
-
-- Data represents the data to be hashed with the SHA\-256 algorithm.
-- Hash is the variable that will contain Hashed value of Data.
-
-Note: Due to the principles of the hash algorithm \(pre\-image resistance\), this predicate can only compute the hash value from input data, and cannot compute the original input data from the hash value.
-
-Examples:
-
-```text
-# Compute the hash of the given data and unify it with the given Hash.
-- sha_hash("Hello OKP4", Hash).
-```
-
 ## source_file/1
 
 source_file/1 is a predicate that unify the given term with the currently loaded source file.