diff --git a/esphome/components/ble_client/__init__.py b/esphome/components/ble_client/__init__.py
index 6c13e7fcf5..4b7d5f5b8a 100644
--- a/esphome/components/ble_client/__init__.py
+++ b/esphome/components/ble_client/__init__.py
@@ -82,7 +82,7 @@ BLE_WRITE_ACTION_SCHEMA = cv.Schema(
         cv.Required(CONF_ID): cv.use_id(BLEClient),
         cv.Required(CONF_SERVICE_UUID): esp32_ble_tracker.bt_uuid,
         cv.Required(CONF_CHARACTERISTIC_UUID): esp32_ble_tracker.bt_uuid,
-        cv.Required(CONF_VALUE): cv.ensure_list(cv.hex_uint8_t),
+        cv.Required(CONF_VALUE): cv.templatable(cv.ensure_list(cv.hex_uint8_t)),
     }
 )
 
@@ -93,8 +93,14 @@ BLE_WRITE_ACTION_SCHEMA = cv.Schema(
 async def ble_write_to_code(config, action_id, template_arg, args):
     paren = await cg.get_variable(config[CONF_ID])
     var = cg.new_Pvariable(action_id, template_arg, paren)
+
     value = config[CONF_VALUE]
-    cg.add(var.set_value(value))
+    if cg.is_template(value):
+        templ = await cg.templatable(value, args, cg.std_vector.template(cg.uint8))
+        cg.add(var.set_value_template(templ))
+    else:
+        cg.add(var.set_value_simple(value))
+
     serv_uuid128 = esp32_ble_tracker.as_reversed_hex_array(config[CONF_SERVICE_UUID])
     cg.add(var.set_service_uuid128(serv_uuid128))
     char_uuid128 = esp32_ble_tracker.as_reversed_hex_array(
diff --git a/esphome/components/ble_client/automation.cpp b/esphome/components/ble_client/automation.cpp
index 8d5fe96570..6918ab31b4 100644
--- a/esphome/components/ble_client/automation.cpp
+++ b/esphome/components/ble_client/automation.cpp
@@ -10,7 +10,7 @@ namespace esphome {
 namespace ble_client {
 static const char *const TAG = "ble_client.automation";
 
-void BLEWriterClientNode::write() {
+void BLEWriterClientNode::write(const std::vector<uint8_t> &value) {
   if (this->node_state != espbt::ClientState::ESTABLISHED) {
     ESP_LOGW(TAG, "Cannot write to BLE characteristic - not connected");
     return;
@@ -29,9 +29,10 @@ void BLEWriterClientNode::write() {
     ESP_LOGE(TAG, "Characteristic %s does not allow writing", this->char_uuid_.to_string().c_str());
     return;
   }
-  ESP_LOGVV(TAG, "Will write %d bytes: %s", this->value_.size(), format_hex_pretty(this->value_).c_str());
-  esp_err_t err = esp_ble_gattc_write_char(this->parent()->gattc_if, this->parent()->conn_id, this->ble_char_handle_,
-                                           value_.size(), value_.data(), write_type, ESP_GATT_AUTH_REQ_NONE);
+  ESP_LOGVV(TAG, "Will write %d bytes: %s", value.size(), format_hex_pretty(value).c_str());
+  esp_err_t err =
+      esp_ble_gattc_write_char(this->parent()->gattc_if, this->parent()->conn_id, this->ble_char_handle_, value.size(),
+                               const_cast<uint8_t *>(value.data()), write_type, ESP_GATT_AUTH_REQ_NONE);
   if (err != ESP_OK) {
     ESP_LOGE(TAG, "Error writing to characteristic: %s!", esp_err_to_name(err));
   }
diff --git a/esphome/components/ble_client/automation.h b/esphome/components/ble_client/automation.h
index 12c22345b4..38e64ebd76 100644
--- a/esphome/components/ble_client/automation.h
+++ b/esphome/components/ble_client/automation.h
@@ -15,10 +15,10 @@ class BLEClientConnectTrigger : public Trigger<>, public BLEClientNode {
   void loop() override {}
   void gattc_event_handler(esp_gattc_cb_event_t event, esp_gatt_if_t gattc_if,
                            esp_ble_gattc_cb_param_t *param) override {
-    if (event == ESP_GATTC_OPEN_EVT && param->open.status == ESP_GATT_OK)
-      this->trigger();
-    if (event == ESP_GATTC_SEARCH_CMPL_EVT)
+    if (event == ESP_GATTC_SEARCH_CMPL_EVT) {
       this->node_state = espbt::ClientState::ESTABLISHED;
+      this->trigger();
+    }
   }
 };
 
@@ -42,10 +42,8 @@ class BLEWriterClientNode : public BLEClientNode {
     ble_client_ = ble_client;
   }
 
-  void set_value(std::vector<uint8_t> value) { value_ = std::move(value); }
-
-  // Attempts to write the contents of value_ to char_uuid_.
-  void write();
+  // Attempts to write the contents of value to char_uuid_.
+  void write(const std::vector<uint8_t> &value);
 
   void set_char_uuid128(uint8_t *uuid) { this->char_uuid_ = espbt::ESPBTUUID::from_raw(uuid); }
 
@@ -60,14 +58,34 @@ class BLEWriterClientNode : public BLEClientNode {
   esp_gatt_char_prop_t char_props_;
   espbt::ESPBTUUID service_uuid_;
   espbt::ESPBTUUID char_uuid_;
-  std::vector<uint8_t> value_;
 };
 
 template<typename... Ts> class BLEClientWriteAction : public Action<Ts...>, public BLEWriterClientNode {
  public:
   BLEClientWriteAction(BLEClient *ble_client) : BLEWriterClientNode(ble_client) {}
 
-  void play(Ts... x) override { return write(); }
+  void play(Ts... x) override {
+    if (has_simple_value_) {
+      return write(this->value_simple_);
+    } else {
+      return write(this->value_template_(x...));
+    }
+  }
+
+  void set_value_template(std::function<std::vector<uint8_t>(Ts...)> func) {
+    this->value_template_ = std::move(func);
+    has_simple_value_ = false;
+  }
+
+  void set_value_simple(const std::vector<uint8_t> &value) {
+    this->value_simple_ = value;
+    has_simple_value_ = true;
+  }
+
+ private:
+  bool has_simple_value_ = true;
+  std::vector<uint8_t> value_simple_;
+  std::function<std::vector<uint8_t>(Ts...)> value_template_{};
 };
 
 }  // namespace ble_client
diff --git a/esphome/components/ble_client/ble_client.cpp b/esphome/components/ble_client/ble_client.cpp
index d06c3c4cad..5f58d8273f 100644
--- a/esphome/components/ble_client/ble_client.cpp
+++ b/esphome/components/ble_client/ble_client.cpp
@@ -54,6 +54,7 @@ bool BLEClient::parse_device(const espbt::ESPBTDevice &device) {
   this->remote_bda[3] = (addr >> 16) & 0xFF;
   this->remote_bda[4] = (addr >> 8) & 0xFF;
   this->remote_bda[5] = (addr >> 0) & 0xFF;
+  this->remote_addr_type = device.get_address_type();
   return true;
 }
 
@@ -83,7 +84,7 @@ void BLEClient::set_enabled(bool enabled) {
 
 void BLEClient::connect() {
   ESP_LOGI(TAG, "Attempting BLE connection to %s", this->address_str().c_str());
-  auto ret = esp_ble_gattc_open(this->gattc_if, this->remote_bda, BLE_ADDR_TYPE_PUBLIC, true);
+  auto ret = esp_ble_gattc_open(this->gattc_if, this->remote_bda, this->remote_addr_type, true);
   if (ret) {
     ESP_LOGW(TAG, "esp_ble_gattc_open error, address=%s status=%d", this->address_str().c_str(), ret);
     this->set_states_(espbt::ClientState::IDLE);
diff --git a/esphome/components/ble_client/ble_client.h b/esphome/components/ble_client/ble_client.h
index b122bfd11e..5ed8f219d1 100644
--- a/esphome/components/ble_client/ble_client.h
+++ b/esphome/components/ble_client/ble_client.h
@@ -115,6 +115,7 @@ class BLEClient : public espbt::ESPBTClient, public Component {
 
   int gattc_if;
   esp_bd_addr_t remote_bda;
+  esp_ble_addr_type_t remote_addr_type;
   uint16_t conn_id;
   uint64_t address;
   bool enabled;
diff --git a/esphome/components/climate/climate_traits.cpp b/esphome/components/climate/climate_traits.cpp
index 16c9cd05be..38ded6cdf7 100644
--- a/esphome/components/climate/climate_traits.cpp
+++ b/esphome/components/climate/climate_traits.cpp
@@ -1,19 +1,10 @@
 #include "climate_traits.h"
-#include <cstdio>
 
 namespace esphome {
 namespace climate {
 
 int8_t ClimateTraits::get_temperature_accuracy_decimals() const {
-  // use printf %g to find number of digits based on temperature step
-  char buf[32];
-  sprintf(buf, "%.5g", this->visual_temperature_step_);
-  std::string str{buf};
-  size_t dot_pos = str.find('.');
-  if (dot_pos == std::string::npos)
-    return 0;
-
-  return str.length() - dot_pos - 1;
+  return step_to_accuracy_decimals(this->visual_temperature_step_);
 }
 
 }  // namespace climate
diff --git a/esphome/components/web_server/server_index.h b/esphome/components/web_server/server_index.h
index 39c170f15b..75c7130151 100644
--- a/esphome/components/web_server/server_index.h
+++ b/esphome/components/web_server/server_index.h
@@ -6,580 +6,580 @@ namespace esphome {
 namespace web_server {
 
 const uint8_t INDEX_GZ[] PROGMEM = {
-    0x1f, 0x8b, 0x08, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x0a, 0xbd, 0x7d, 0xc9, 0x76, 0xdb, 0xc8, 0xb2, 0xe0, 0xba,
-    0xcf, 0xe9, 0x3f, 0xe8, 0x0d, 0x84, 0xd2, 0x93, 0x81, 0x12, 0x08, 0x91, 0x94, 0x65, 0xbb, 0x40, 0x41, 0xbc, 0xf2,
-    0x50, 0xd7, 0xae, 0xf2, 0x54, 0x96, 0xec, 0x1a, 0x54, 0x2c, 0x0b, 0x22, 0x93, 0x22, 0xca, 0x20, 0xc0, 0x02, 0x92,
-    0x1a, 0x8a, 0xc2, 0x3b, 0xbd, 0xea, 0x55, 0x9f, 0xd3, 0xe3, 0xe2, 0x6d, 0xfa, 0xbc, 0x5e, 0xf4, 0x47, 0xf4, 0xba,
-    0x3f, 0xe5, 0xfe, 0x40, 0xbf, 0x4f, 0xe8, 0x88, 0xc8, 0x01, 0x09, 0x90, 0x1a, 0x5c, 0xaf, 0xfa, 0x1e, 0x0f, 0x02,
-    0x72, 0x8c, 0x88, 0x8c, 0x8c, 0x29, 0x23, 0xa1, 0xdd, 0xb5, 0x51, 0x36, 0xe4, 0x97, 0x33, 0x66, 0x4d, 0xf8, 0x34,
-    0xd9, 0xdb, 0x95, 0xff, 0xb3, 0x68, 0xb4, 0xb7, 0x9b, 0xc4, 0xe9, 0x27, 0x2b, 0x67, 0x49, 0x18, 0x0f, 0xb3, 0xd4,
-    0x9a, 0xe4, 0x6c, 0x1c, 0x8e, 0x22, 0x1e, 0x05, 0xf1, 0x34, 0x3a, 0x65, 0xd6, 0xd6, 0xde, 0xee, 0x94, 0xf1, 0xc8,
-    0x1a, 0x4e, 0xa2, 0xbc, 0x60, 0x3c, 0x7c, 0x7f, 0xf8, 0x75, 0xeb, 0xd1, 0xde, 0x6e, 0x31, 0xcc, 0xe3, 0x19, 0xb7,
-    0x70, 0xc8, 0x70, 0x9a, 0x8d, 0xe6, 0x09, 0xdb, 0x3b, 0x8b, 0x72, 0xeb, 0x82, 0x85, 0x6f, 0x4e, 0x7e, 0x65, 0x43,
-    0xee, 0x8f, 0xd8, 0x38, 0x4e, 0xd9, 0xdb, 0x3c, 0x9b, 0xb1, 0x9c, 0x5f, 0x7a, 0xcf, 0x56, 0x57, 0xc4, 0xac, 0xf0,
-    0x0e, 0x74, 0xd5, 0x29, 0xe3, 0x6f, 0xce, 0x53, 0xd5, 0xe7, 0x29, 0x13, 0x93, 0x64, 0x79, 0xe1, 0xf1, 0x6b, 0xda,
-    0x1c, 0x5c, 0x4e, 0x4f, 0xb2, 0xa4, 0xf0, 0x3e, 0xe9, 0xfa, 0x59, 0x9e, 0xf1, 0x0c, 0xc1, 0xf2, 0x27, 0x51, 0x61,
-    0xb4, 0xf4, 0x9e, 0xac, 0x68, 0x32, 0x93, 0x95, 0x2f, 0x8a, 0x67, 0xe9, 0x7c, 0xca, 0xf2, 0xe8, 0x24, 0x61, 0x5e,
-    0xc1, 0x42, 0x87, 0x79, 0xdc, 0x8b, 0xdd, 0x70, 0x8f, 0x5b, 0x71, 0x6a, 0xb1, 0xfe, 0x05, 0xa3, 0x92, 0x05, 0xd3,
-    0xad, 0x82, 0xb5, 0xb6, 0x07, 0xe4, 0x1a, 0xc7, 0xa7, 0x73, 0xfd, 0x7e, 0x9e, 0xc7, 0x5c, 0x3d, 0x9f, 0x45, 0xc9,
-    0x9c, 0x05, 0x71, 0xe9, 0x06, 0xec, 0x88, 0x0f, 0xc2, 0xd8, 0x7b, 0x42, 0x83, 0xc2, 0x90, 0x8b, 0x71, 0x96, 0x3b,
-    0x48, 0xab, 0x18, 0xc7, 0xe6, 0x57, 0x57, 0x0e, 0x0f, 0x17, 0xa5, 0xeb, 0x7e, 0x62, 0xfe, 0x30, 0x4a, 0x12, 0x07,
-    0x27, 0xde, 0xd8, 0x28, 0x70, 0xc6, 0xd8, 0xe3, 0x47, 0xf1, 0xc0, 0xed, 0xc5, 0x63, 0x87, 0x33, 0xb7, 0xea, 0x97,
-    0x8d, 0x2d, 0xce, 0x1c, 0xee, 0xba, 0x4f, 0xae, 0xef, 0x93, 0x33, 0x3e, 0xcf, 0x01, 0xf6, 0xd2, 0x7b, 0xa3, 0x66,
-    0x7e, 0x86, 0xf5, 0x07, 0xd4, 0xb1, 0x07, 0xb0, 0x17, 0xdc, 0xfa, 0x10, 0x9e, 0xc7, 0xe9, 0x28, 0x3b, 0xf7, 0x0f,
-    0x26, 0x11, 0xfc, 0x78, 0x97, 0x65, 0x7c, 0x63, 0xc3, 0x39, 0xcb, 0xe2, 0x91, 0xd5, 0x0e, 0x43, 0xb3, 0xf2, 0xf2,
-    0xc9, 0xc1, 0xc1, 0xd5, 0x55, 0xa3, 0xc0, 0x4f, 0x23, 0x1e, 0x9f, 0x31, 0xd1, 0x19, 0x00, 0xb0, 0xe1, 0xe7, 0x8c,
-    0xb3, 0xd1, 0x01, 0xbf, 0x4c, 0xa0, 0x94, 0x31, 0x5e, 0xd8, 0x80, 0xe3, 0xd3, 0x6c, 0x08, 0x64, 0x4b, 0x0d, 0xc2,
-    0x43, 0xd3, 0x9c, 0xcd, 0x92, 0x68, 0xc8, 0xb0, 0x1e, 0x46, 0xaa, 0x7a, 0x54, 0x8d, 0xbc, 0xaf, 0x43, 0xb1, 0xbc,
-    0x8e, 0xeb, 0xc5, 0x2c, 0x4c, 0xd9, 0xb9, 0xf5, 0x2a, 0x9a, 0xf5, 0x86, 0x49, 0x54, 0x14, 0xc0, 0xaf, 0x0b, 0x42,
-    0x21, 0x9f, 0x0f, 0x81, 0x41, 0x08, 0xc1, 0x05, 0x92, 0x69, 0x12, 0x17, 0xfe, 0xc7, 0xf5, 0x61, 0x51, 0xbc, 0x63,
-    0xc5, 0x3c, 0xe1, 0xeb, 0x21, 0xac, 0x05, 0x5f, 0x0b, 0xc3, 0xaf, 0x5d, 0x3e, 0xc9, 0xb3, 0x73, 0xeb, 0x59, 0x9e,
-    0x43, 0x73, 0x1b, 0xa6, 0x14, 0x0d, 0xac, 0xb8, 0xb0, 0xd2, 0x8c, 0x5b, 0x7a, 0x30, 0x5c, 0x40, 0xdf, 0x7a, 0x5f,
-    0x30, 0xeb, 0x78, 0x9e, 0x16, 0xd1, 0x98, 0x41, 0xd3, 0x63, 0x2b, 0xcb, 0xad, 0x63, 0x18, 0xf4, 0x18, 0x96, 0xac,
-    0xe0, 0xb0, 0x6b, 0x7c, 0xdb, 0xed, 0xd1, 0x5c, 0x50, 0x78, 0xc8, 0x2e, 0x78, 0xc8, 0x4a, 0x60, 0x4c, 0xab, 0xd0,
-    0x68, 0x38, 0xee, 0x22, 0x81, 0x02, 0x16, 0xc6, 0x0c, 0x59, 0xd6, 0x31, 0x1b, 0xeb, 0xc5, 0xf9, 0xb0, 0xb1, 0xa1,
-    0x69, 0x0d, 0x34, 0x71, 0xa0, 0x6d, 0xd1, 0x68, 0xeb, 0x09, 0xc4, 0x6b, 0x24, 0x72, 0x3d, 0xe6, 0x4b, 0xf2, 0x1d,
-    0x5c, 0xa6, 0xc3, 0xfa, 0xd8, 0x50, 0x59, 0xf2, 0xec, 0x80, 0xe7, 0x71, 0x7a, 0x0a, 0x40, 0xc8, 0x99, 0xcc, 0x26,
-    0x65, 0x29, 0x16, 0xff, 0x0d, 0x0b, 0x59, 0xb8, 0x87, 0xa3, 0xe7, 0xcc, 0xb1, 0x0b, 0xea, 0x61, 0x87, 0x21, 0x92,
-    0x1e, 0x18, 0x8c, 0xf5, 0x59, 0xc0, 0x36, 0x6d, 0xdb, 0xfb, 0xda, 0xf5, 0x2e, 0x91, 0x83, 0x7c, 0xdf, 0x27, 0xf6,
-    0x15, 0x9d, 0xe3, 0xb0, 0x83, 0x40, 0xfb, 0x09, 0x4b, 0x4f, 0xf9, 0xa4, 0xcf, 0x8e, 0xda, 0x83, 0x80, 0x03, 0x54,
-    0xa3, 0xf9, 0x90, 0x39, 0xc8, 0x8f, 0x5e, 0x8e, 0xdb, 0x67, 0xd3, 0x81, 0x29, 0x70, 0x61, 0xd6, 0x08, 0xc7, 0xda,
-    0xd2, 0xb8, 0x8a, 0x45, 0x15, 0x60, 0xc8, 0xe7, 0x36, 0xec, 0xb0, 0x13, 0x96, 0x1b, 0x70, 0xe8, 0x66, 0xbd, 0xda,
-    0x0a, 0xce, 0x61, 0x85, 0xa0, 0x9f, 0x35, 0x9e, 0xa7, 0x43, 0x1e, 0x83, 0xe0, 0xb2, 0x37, 0x01, 0x5c, 0xb1, 0x72,
-    0x7a, 0xe1, 0x6c, 0xb7, 0x74, 0x9d, 0xd8, 0xdd, 0x64, 0x47, 0xf9, 0x66, 0x67, 0xe0, 0x21, 0x94, 0x9a, 0xf8, 0x12,
-    0xf1, 0x18, 0x10, 0x2c, 0xbd, 0xb7, 0x4c, 0x6f, 0xcf, 0x0f, 0x7d, 0xe6, 0x2f, 0xf3, 0x71, 0xc8, 0xfd, 0x69, 0x34,
-    0x43, 0x6c, 0x18, 0xf1, 0x40, 0x94, 0x0e, 0x11, 0xba, 0xda, 0xba, 0x20, 0xc5, 0xfc, 0x8a, 0x05, 0x5c, 0x20, 0x08,
-    0xec, 0xd9, 0x67, 0xd1, 0x70, 0x02, 0x5b, 0xbc, 0x22, 0xdc, 0x48, 0x6d, 0x87, 0x61, 0xce, 0x22, 0xce, 0x9e, 0x25,
-    0x0c, 0xdf, 0x70, 0x05, 0xa0, 0xa7, 0xed, 0x7a, 0xb9, 0xda, 0x77, 0x49, 0xcc, 0x5f, 0x67, 0x30, 0x4f, 0x4f, 0x30,
-    0x09, 0x70, 0x71, 0xbe, 0xb1, 0x11, 0x23, 0x8b, 0xec, 0x73, 0x58, 0xad, 0x93, 0x39, 0x08, 0x01, 0x3b, 0xc5, 0x16,
-    0x36, 0x50, 0xdb, 0x8b, 0x7d, 0x0e, 0x44, 0x7c, 0x92, 0xa5, 0x1c, 0x86, 0x03, 0x78, 0x35, 0x07, 0xf9, 0xd1, 0x6c,
-    0xc6, 0xd2, 0xd1, 0x93, 0x49, 0x9c, 0x8c, 0x80, 0x1a, 0x25, 0xe0, 0x9b, 0xb1, 0x10, 0xf0, 0x04, 0x64, 0x82, 0x9b,
-    0x31, 0xa2, 0xe5, 0x43, 0x46, 0xe6, 0xa1, 0x6d, 0xf7, 0x50, 0x02, 0x49, 0x2c, 0x50, 0x06, 0xd1, 0xc2, 0xbd, 0x03,
-    0xd1, 0x5f, 0xb8, 0x7c, 0x33, 0x8c, 0xf5, 0x32, 0x4a, 0x02, 0xbf, 0x41, 0x49, 0x03, 0xf4, 0x67, 0x20, 0x03, 0x7b,
-    0x28, 0xb8, 0xbe, 0x97, 0x52, 0x27, 0x65, 0x0a, 0x43, 0x20, 0xc0, 0x10, 0x25, 0x88, 0xa4, 0xc1, 0xdb, 0x2c, 0xb9,
-    0x1c, 0xc7, 0x49, 0x72, 0x30, 0x9f, 0xcd, 0xb2, 0x9c, 0x7b, 0xdf, 0x84, 0x0b, 0x9e, 0x55, 0xb8, 0xd2, 0x26, 0x2f,
-    0xce, 0x63, 0x8e, 0x04, 0x75, 0x17, 0xc3, 0x08, 0x96, 0xfa, 0x71, 0x96, 0x25, 0x2c, 0x4a, 0x01, 0x0d, 0xd6, 0xb7,
-    0xed, 0x20, 0x9d, 0x27, 0x49, 0xef, 0x04, 0x86, 0xfd, 0xd4, 0xa3, 0x6a, 0x21, 0xf1, 0x03, 0x7a, 0xde, 0xcf, 0xf3,
-    0xe8, 0x12, 0x1a, 0x62, 0x1b, 0xe0, 0x45, 0x58, 0xad, 0x6f, 0x0e, 0xde, 0xbc, 0xf6, 0x05, 0xe3, 0xc7, 0xe3, 0x4b,
-    0x00, 0xb4, 0xac, 0xa4, 0xe6, 0x38, 0xcf, 0xa6, 0x8d, 0xa9, 0x91, 0x0e, 0x71, 0xc8, 0x7a, 0xd7, 0x80, 0x10, 0xd3,
-    0xc8, 0xb0, 0x4a, 0xcc, 0x84, 0xe0, 0x35, 0xf1, 0xb3, 0xac, 0xc4, 0x3d, 0xd0, 0xc7, 0x87, 0x40, 0x14, 0xc3, 0x94,
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+    0xf5, 0xbd, 0xa9, 0x4d, 0x50, 0x17, 0xf4, 0x5b, 0x20, 0xe9, 0xdc, 0x1b, 0x35, 0x02, 0xa6, 0x5c, 0x5b, 0xd2, 0x73,
+    0x08, 0x6d, 0xa1, 0x0f, 0xc6, 0xec, 0x34, 0x1e, 0x49, 0xb1, 0xee, 0x59, 0xf2, 0xaa, 0x48, 0x8b, 0xb0, 0x08, 0x3b,
+    0x9e, 0xf0, 0x9d, 0xe1, 0x05, 0xb5, 0x5a, 0x98, 0x66, 0x76, 0xff, 0x5e, 0x4f, 0x43, 0x52, 0xcf, 0x56, 0xb7, 0xf1,
+    0x57, 0x52, 0x1e, 0x82, 0xaf, 0xf6, 0xf7, 0xe1, 0x3d, 0xfc, 0xa5, 0x94, 0xf7, 0x86, 0xb6, 0xeb, 0x93, 0x50, 0xbc,
+    0x57, 0xfd, 0x66, 0x4a, 0x94, 0x08, 0x9b, 0xa0, 0xbf, 0xbc, 0xdb, 0x2a, 0x32, 0xa9, 0xb4, 0xba, 0x3b, 0x95, 0xd2,
+    0x82, 0x67, 0x43, 0x4a, 0x81, 0x00, 0xed, 0xfa, 0x3b, 0x86, 0x28, 0x3c, 0x6d, 0xe1, 0xcf, 0x9a, 0x30, 0xbc, 0x0f,
+    0x0d, 0x94, 0x34, 0x7c, 0x09, 0xcd, 0xb7, 0x85, 0xe0, 0x85, 0x7e, 0x3f, 0x92, 0xa8, 0x12, 0x62, 0xaa, 0xce, 0x31,
+    0x6b, 0x0e, 0x91, 0x44, 0x8e, 0x80, 0xed, 0x19, 0xf1, 0x26, 0xc1, 0xae, 0x32, 0x9a, 0xf2, 0x14, 0xfa, 0x3a, 0xfa,
+    0x33, 0xce, 0xeb, 0xea, 0xbc, 0xda, 0xce, 0x59, 0x33, 0x05, 0x32, 0x7c, 0xe3, 0xa0, 0x8a, 0xae, 0x2e, 0x88, 0xcf,
+    0x99, 0x89, 0x6d, 0x5c, 0x7d, 0xf0, 0x6d, 0x4d, 0xf6, 0xad, 0xb9, 0x29, 0x58, 0xc5, 0x34, 0xb4, 0x2f, 0x30, 0x65,
+    0x06, 0x7f, 0x56, 0xc5, 0xea, 0x41, 0x32, 0x94, 0x9f, 0x44, 0xf8, 0xdb, 0x58, 0xe8, 0x47, 0x59, 0x6d, 0x40, 0x4e,
+    0xdf, 0xab, 0x24, 0x48, 0x5f, 0x8c, 0xcb, 0x26, 0x12, 0x60, 0x2f, 0xe0, 0x2f, 0xf7, 0xab, 0xae, 0x4a, 0xc8, 0x3b,
+    0x90, 0x98, 0x53, 0x30, 0x8e, 0x73, 0xba, 0x5a, 0xab, 0xf0, 0xaf, 0x45, 0x34, 0x2b, 0x52, 0xd3, 0xae, 0x64, 0xc5,
+    0xc0, 0xc6, 0x22, 0x3b, 0x90, 0xc9, 0x68, 0xe6, 0x07, 0x9b, 0xcd, 0xbb, 0x8f, 0x63, 0x91, 0x87, 0x86, 0x1f, 0xb4,
+    0xb7, 0x05, 0x91, 0x6d, 0x10, 0x63, 0x57, 0xe2, 0x44, 0xc6, 0x0d, 0x5e, 0x19, 0xac, 0x7e, 0x43, 0x91, 0xb9, 0xe1,
+    0x6d, 0x73, 0xb5, 0xf4, 0xb8, 0xb4, 0x0e, 0xae, 0x8c, 0xdf, 0x1d, 0xb3, 0x88, 0xfb, 0x51, 0x4a, 0xb9, 0x49, 0x8e,
+    0x21, 0x16, 0xbc, 0x0e, 0xdb, 0x76, 0x4b, 0x90, 0x3c, 0xc6, 0xaf, 0x70, 0x12, 0xa4, 0xf7, 0xa1, 0xb0, 0x4a, 0xd8,
+    0xda, 0x9d, 0x76, 0xfb, 0x6f, 0x0e, 0xf6, 0x2c, 0xb1, 0x9b, 0x77, 0xb7, 0xe0, 0x75, 0x97, 0xdc, 0x61, 0x91, 0x9f,
+    0x11, 0x8a, 0xfc, 0x0c, 0x4b, 0x24, 0x74, 0x85, 0xf6, 0x96, 0x40, 0xd3, 0xb6, 0x58, 0x3a, 0x12, 0x31, 0xbc, 0x19,
+    0xb8, 0x0b, 0x31, 0x7e, 0xd4, 0x6b, 0x0b, 0xbb, 0xb5, 0x70, 0xa5, 0x6d, 0x95, 0xe1, 0xa2, 0x0c, 0x04, 0x9e, 0xaa,
+    0x88, 0x1f, 0xa8, 0x75, 0xa6, 0x92, 0x5d, 0xe4, 0x50, 0x3a, 0x27, 0x75, 0xb5, 0x75, 0xb1, 0x38, 0x9e, 0x81, 0x1c,
+    0x52, 0x09, 0x2a, 0xef, 0x65, 0x87, 0x5d, 0x9a, 0x0a, 0x93, 0x62, 0x57, 0x23, 0x92, 0xd3, 0x4e, 0x7f, 0x37, 0x92,
+    0xf6, 0x0e, 0xee, 0xdd, 0x02, 0x36, 0x2f, 0xa8, 0x39, 0x34, 0x2a, 0xfc, 0x38, 0xdb, 0x3a, 0x63, 0xc7, 0xad, 0x68,
+    0x1e, 0x57, 0xe1, 0x3f, 0xd4, 0x7e, 0xfd, 0x5d, 0xa5, 0x08, 0x65, 0x9a, 0xa5, 0x7c, 0x8c, 0x8c, 0x2c, 0x0e, 0x24,
+    0x1c, 0x31, 0x68, 0x29, 0x63, 0x8b, 0x64, 0x34, 0x02, 0xf1, 0x01, 0x56, 0xe2, 0x5f, 0x15, 0x83, 0x94, 0x9a, 0xa0,
+    0xb4, 0xfb, 0x7f, 0xfd, 0x5f, 0xff, 0x5b, 0x86, 0x15, 0x81, 0xac, 0x00, 0x16, 0xa6, 0xc1, 0x54, 0x27, 0x8c, 0xec,
+    0x1c, 0x1c, 0xd1, 0x78, 0xdc, 0x9a, 0x46, 0xc9, 0x04, 0x20, 0x28, 0x98, 0xb8, 0xca, 0x24, 0xeb, 0x81, 0x0b, 0x24,
+    0x58, 0xe6, 0xe1, 0xbc, 0x04, 0xaf, 0x5e, 0x84, 0x2b, 0xf6, 0xbb, 0xf2, 0x56, 0x55, 0xbe, 0x30, 0x31, 0xb4, 0x91,
+    0xc5, 0x6a, 0xf0, 0x5c, 0x2d, 0x93, 0x55, 0xfd, 0x82, 0x24, 0x29, 0x3c, 0x58, 0x2d, 0x8d, 0x15, 0x5a, 0xea, 0x83,
+    0x90, 0x7f, 0xfb, 0xe7, 0xff, 0xfc, 0xdf, 0xd5, 0x2b, 0x9e, 0x6f, 0xfc, 0xf5, 0x9f, 0xfe, 0xe1, 0xff, 0xfe, 0x9f,
+    0xff, 0x82, 0x59, 0xc2, 0xf2, 0x0c, 0x84, 0xb6, 0x92, 0x55, 0x1d, 0x80, 0x88, 0x3d, 0x65, 0x55, 0x0e, 0x47, 0x3d,
+    0xdd, 0x75, 0x9f, 0x26, 0x24, 0xde, 0x94, 0xd0, 0x11, 0x5f, 0x53, 0x7a, 0x34, 0x51, 0xed, 0x1a, 0xf2, 0xc1, 0x52,
+    0x5a, 0x74, 0xac, 0x6f, 0xef, 0xb4, 0xed, 0x6a, 0x79, 0xfb, 0x46, 0xdf, 0x2d, 0x5c, 0x98, 0x5b, 0x65, 0xe0, 0xf8,
+    0x7a, 0xd9, 0x96, 0x2a, 0x8c, 0x85, 0x25, 0x65, 0x55, 0x6e, 0x61, 0x7c, 0x79, 0x89, 0xaf, 0x41, 0xd7, 0x28, 0xa6,
+    0x55, 0xae, 0xf5, 0xe9, 0xfd, 0xb2, 0x00, 0x44, 0x27, 0xb8, 0x34, 0x22, 0x58, 0x46, 0x67, 0xa7, 0x2d, 0xb4, 0x4e,
+    0x92, 0x8b, 0x92, 0x46, 0x11, 0xde, 0xcc, 0xfd, 0x47, 0x7f, 0x57, 0xfe, 0x69, 0x86, 0x56, 0x81, 0xe5, 0xcc, 0xa2,
+    0x73, 0xe9, 0xe3, 0x3c, 0x68, 0xb7, 0xe7, 0xe7, 0xee, 0xb2, 0x9a, 0xc1, 0xbb, 0x6a, 0x32, 0x0a, 0xb0, 0x99, 0x03,
+    0xd2, 0xa1, 0xab, 0x8e, 0xe5, 0x81, 0x59, 0xdf, 0xc6, 0xd0, 0x4f, 0x59, 0x7e, 0xb9, 0xa4, 0x70, 0x52, 0xfc, 0x1b,
+    0x1e, 0x8e, 0xca, 0xc8, 0x1b, 0x94, 0x18, 0x58, 0x2c, 0x8d, 0x5e, 0x5d, 0xd1, 0x6b, 0xda, 0x59, 0xcd, 0x4d, 0x31,
+    0x0f, 0x77, 0xcd, 0x63, 0xd9, 0xfb, 0x78, 0xd0, 0x3a, 0xed, 0x78, 0xd3, 0xee, 0x52, 0x0f, 0xcf, 0x79, 0x36, 0x33,
+    0x4f, 0x73, 0x59, 0xc4, 0x46, 0x6c, 0xa2, 0x22, 0x96, 0xb2, 0x5e, 0x9c, 0xd4, 0x96, 0x5f, 0xe0, 0x76, 0x03, 0xda,
+    0x66, 0x11, 0x0f, 0x88, 0x69, 0x7b, 0xe6, 0x79, 0x6f, 0x84, 0x27, 0xe9, 0xd9, 0xd2, 0x98, 0xab, 0x27, 0x9a, 0x62,
+    0x5c, 0xb0, 0x9e, 0xf7, 0x53, 0xfa, 0xd4, 0xdd, 0x1c, 0x4a, 0x84, 0x15, 0x5e, 0xc8, 0x63, 0xd4, 0x77, 0x35, 0x7f,
+    0x5c, 0x8a, 0x62, 0x70, 0x81, 0xd7, 0xd6, 0x0b, 0xb5, 0x28, 0x6a, 0x5f, 0x80, 0xb5, 0x43, 0x60, 0xda, 0xcd, 0x56,
+    0x54, 0x88, 0xad, 0xde, 0x85, 0x2f, 0xb4, 0xed, 0x1d, 0xcd, 0xe7, 0xd4, 0xd0, 0x05, 0x6e, 0x24, 0x1b, 0x1a, 0x25,
+    0x05, 0xa5, 0x08, 0x88, 0x13, 0x79, 0xd9, 0x46, 0xb2, 0xad, 0x78, 0x92, 0x67, 0xf5, 0xf4, 0xfb, 0xb6, 0xff, 0x1f,
+    0x22, 0x28, 0x4d, 0x5d, 0x85, 0x7b, 0x00, 0x00};
 
 }  // namespace web_server
 }  // namespace esphome
diff --git a/esphome/components/web_server/web_server.cpp b/esphome/components/web_server/web_server.cpp
index 5c06a97d47..30ac959e43 100644
--- a/esphome/components/web_server/web_server.cpp
+++ b/esphome/components/web_server/web_server.cpp
@@ -360,9 +360,14 @@ void WebServer::handle_sensor_request(AsyncWebServerRequest *request, const UrlM
 }
 std::string WebServer::sensor_json(sensor::Sensor *obj, float value, JsonDetail start_config) {
   return json::build_json([obj, value, start_config](JsonObject root) {
-    std::string state = value_accuracy_to_string(value, obj->get_accuracy_decimals());
-    if (!obj->get_unit_of_measurement().empty())
-      state += " " + obj->get_unit_of_measurement();
+    std::string state;
+    if (isnan(value)) {
+      state = "NA";
+    } else {
+      state = value_accuracy_to_string(value, obj->get_accuracy_decimals());
+      if (!obj->get_unit_of_measurement().empty())
+        state += " " + obj->get_unit_of_measurement();
+    }
     set_json_icon_state_value(root, obj, "sensor-" + obj->get_object_id(), state, value, start_config);
   });
 }
@@ -719,12 +724,15 @@ std::string WebServer::number_json(number::Number *obj, float value, JsonDetail
       root["step"] = obj->traits.get_step();
       root["mode"] = (int) obj->traits.get_mode();
     }
-    std::string state = str_sprintf("%f", value);
-    root["state"] = state;
     if (isnan(value)) {
       root["value"] = "\"NaN\"";
+      root["state"] = "NA";
     } else {
       root["value"] = value;
+      std::string state = value_accuracy_to_string(value, step_to_accuracy_decimals(obj->traits.get_step()));
+      if (!obj->traits.get_unit_of_measurement().empty())
+        state += " " + obj->traits.get_unit_of_measurement();
+      root["state"] = state;
     }
   });
 }
diff --git a/esphome/const.py b/esphome/const.py
index 59fa466d11..00d155e66f 100644
--- a/esphome/const.py
+++ b/esphome/const.py
@@ -1,6 +1,6 @@
 """Constants used by esphome."""
 
-__version__ = "2022.8.0b2"
+__version__ = "2022.8.0b3"
 
 ALLOWED_NAME_CHARS = "abcdefghijklmnopqrstuvwxyz0123456789-_"
 
diff --git a/esphome/core/helpers.cpp b/esphome/core/helpers.cpp
index b03d890ad8..d82e452c3d 100644
--- a/esphome/core/helpers.cpp
+++ b/esphome/core/helpers.cpp
@@ -258,6 +258,19 @@ std::string value_accuracy_to_string(float value, int8_t accuracy_decimals) {
   return std::string(tmp);
 }
 
+int8_t step_to_accuracy_decimals(float step) {
+  // use printf %g to find number of digits based on temperature step
+  char buf[32];
+  sprintf(buf, "%.5g", step);
+
+  std::string str{buf};
+  size_t dot_pos = str.find('.');
+  if (dot_pos == std::string::npos)
+    return 0;
+
+  return str.length() - dot_pos - 1;
+}
+
 // Colors
 
 float gamma_correct(float value, float gamma) {
diff --git a/esphome/core/helpers.h b/esphome/core/helpers.h
index dab829ab93..6bed743010 100644
--- a/esphome/core/helpers.h
+++ b/esphome/core/helpers.h
@@ -415,6 +415,9 @@ ParseOnOffState parse_on_off(const char *str, const char *on = nullptr, const ch
 /// Create a string from a value and an accuracy in decimals.
 std::string value_accuracy_to_string(float value, int8_t accuracy_decimals);
 
+/// Derive accuracy in decimals from an increment step.
+int8_t step_to_accuracy_decimals(float step);
+
 ///@}
 
 /// @name Colors
diff --git a/tests/test2.yaml b/tests/test2.yaml
index 5dd9e76a2f..110e8e6625 100644
--- a/tests/test2.yaml
+++ b/tests/test2.yaml
@@ -615,3 +615,9 @@ switch:
           service_uuid: F61E3BE9-2826-A81B-970A-4D4DECFABBAE
           characteristic_uuid: 6490FAFE-0734-732C-8705-91B653A081FC
           value: [0x01, 0xab, 0xff]
+      - ble_client.ble_write:
+          id: airthings01
+          service_uuid: F61E3BE9-2826-A81B-970A-4D4DECFABBAE
+          characteristic_uuid: 6490FAFE-0734-732C-8705-91B653A081FC
+          value: !lambda |-
+            return {0x13, 0x37};