diff --git a/gcc/optabs.cc b/gcc/optabs.cc
index 4c641cab192..c725f357b7f 100644
--- a/gcc/optabs.cc
+++ b/gcc/optabs.cc
@@ -5674,7 +5674,21 @@ expand_fix (rtx to, rtx from, int unsignedp)
 	    rtx_insn *last = get_last_insn ();
 	    rtx from1 = from;
 	    if (fmode != GET_MODE (from))
-	      from1 = convert_to_mode (fmode, from, 0);
+	      {
+		if (REAL_MODE_FORMAT (GET_MODE (from))
+		    == &arm_bfloat_half_format
+		    && REAL_MODE_FORMAT (fmode) == &ieee_single_format)
+		  /* The BF -> SF conversions can be just a shift, doesn't
+		     need to handle sNANs.  */
+		  {
+		    int save_flag_finite_math_only = flag_finite_math_only;
+		    flag_finite_math_only = true;
+		    from1 = convert_to_mode (fmode, from, 0);
+		    flag_finite_math_only = save_flag_finite_math_only;
+		  }
+		else
+		  from1 = convert_to_mode (fmode, from, 0);
+	      }
 
 	    if (must_trunc)
 	      {
@@ -5746,7 +5760,21 @@ expand_fix (rtx to, rtx from, int unsignedp)
 	    lab2 = gen_label_rtx ();
 
 	    if (fmode != GET_MODE (from))
-	      from = convert_to_mode (fmode, from, 0);
+	      {
+		if (REAL_MODE_FORMAT (GET_MODE (from))
+		    == &arm_bfloat_half_format
+		    && REAL_MODE_FORMAT (fmode) == &ieee_single_format)
+		  /* The BF -> SF conversions can be just a shift, doesn't
+		     need to handle sNANs.  */
+		  {
+		    int save_flag_finite_math_only = flag_finite_math_only;
+		    flag_finite_math_only = true;
+		    from = convert_to_mode (fmode, from, 0);
+		    flag_finite_math_only = save_flag_finite_math_only;
+		  }
+		else
+		  from = convert_to_mode (fmode, from, 0);
+	      }
 
 	    /* See if we need to do the subtraction.  */
 	    do_pending_stack_adjust ();
@@ -5790,6 +5818,22 @@ expand_fix (rtx to, rtx from, int unsignedp)
 	  }
       }
 
+#ifdef HAVE_SFmode
+  if (REAL_MODE_FORMAT (GET_MODE (from)) == &arm_bfloat_half_format
+      && REAL_MODE_FORMAT (SFmode) == &ieee_single_format)
+    /* We don't have BF -> TI library functions, use BF -> SF -> TI
+       instead but the BF -> SF conversion can be just a shift, doesn't
+       need to handle sNANs.  */
+    {
+      int save_flag_finite_math_only = flag_finite_math_only;
+      flag_finite_math_only = true;
+      from = convert_to_mode (SFmode, from, 0);
+      flag_finite_math_only = save_flag_finite_math_only;
+      expand_fix (to, from, unsignedp);
+      return;
+    }
+#endif
+
   /* We can't do it with an insn, so use a library call.  But first ensure
      that the mode of TO is at least as wide as SImode, since those are the
      only library calls we know about.  */
diff --git a/libgcc/config/i386/64/t-softfp b/libgcc/config/i386/64/t-softfp
index 3bec464d786..197fa1131f3 100644
--- a/libgcc/config/i386/64/t-softfp
+++ b/libgcc/config/i386/64/t-softfp
@@ -1,6 +1,9 @@
-softfp_extras := fixhfti fixunshfti floattihf floatuntihf
+softfp_extras := fixhfti fixunshfti floattihf floatuntihf \
+		 floattibf floatuntibf
 
 CFLAGS-fixhfti.c += -msse2
 CFLAGS-fixunshfti.c += -msse2
 CFLAGS-floattihf.c += -msse2
 CFLAGS-floatunstihf.c += -msse2
+CFLAGS-floattibf.c += -msse2
+CFLAGS-floatunstibf.c += -msse2
diff --git a/libgcc/config/i386/libgcc-glibc.ver b/libgcc/config/i386/libgcc-glibc.ver
index fa8934b9bf4..d84d075cf9f 100644
--- a/libgcc/config/i386/libgcc-glibc.ver
+++ b/libgcc/config/i386/libgcc-glibc.ver
@@ -218,6 +218,8 @@ GCC_12.0.0 {
 %inherit GCC_13.0.0 GCC_12.0.0
 GCC_13.0.0 {
   __extendbfsf2
+  __floattibf
+  __floatuntibf
   __truncdfbf2
   __truncsfbf2
   __trunctfbf2
diff --git a/libgcc/soft-fp/floattibf.c b/libgcc/soft-fp/floattibf.c
new file mode 100644
index 00000000000..f3336a95b06
--- /dev/null
+++ b/libgcc/soft-fp/floattibf.c
@@ -0,0 +1,45 @@
+/* Software floating-point emulation.
+   Convert a 128bit signed integer to bfloat16
+   Copyright (C) 2007-2023 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+
+BFtype
+__floattibf (TItype i)
+{
+  FP_DECL_EX;
+  FP_DECL_B (A);
+  BFtype a;
+
+  FP_INIT_ROUNDMODE;
+  FP_FROM_INT_B (A, i, TI_BITS, UTItype);
+  FP_PACK_RAW_B (a, A);
+  FP_HANDLE_EXCEPTIONS;
+
+  return a;
+}
diff --git a/libgcc/soft-fp/floatuntibf.c b/libgcc/soft-fp/floatuntibf.c
new file mode 100644
index 00000000000..362b0f6c1bb
--- /dev/null
+++ b/libgcc/soft-fp/floatuntibf.c
@@ -0,0 +1,45 @@
+/* Software floating-point emulation.
+   Convert a 128bit unsigned integer to bfloat16
+   Copyright (C) 2007-2023 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   In addition to the permissions in the GNU Lesser General Public
+   License, the Free Software Foundation gives you unlimited
+   permission to link the compiled version of this file into
+   combinations with other programs, and to distribute those
+   combinations without any restriction coming from the use of this
+   file.  (The Lesser General Public License restrictions do apply in
+   other respects; for example, they cover modification of the file,
+   and distribution when not linked into a combine executable.)
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include "soft-fp.h"
+#include "brain.h"
+
+BFtype
+__floatuntibf (UTItype i)
+{
+  FP_DECL_EX;
+  FP_DECL_B (A);
+  BFtype a;
+
+  FP_INIT_ROUNDMODE;
+  FP_FROM_INT_B (A, i, TI_BITS, UTItype);
+  FP_PACK_RAW_B (a, A);
+  FP_HANDLE_EXCEPTIONS;
+
+  return a;
+}