diff --git a/src/qcbor_encode.c b/src/qcbor_encode.c
index 53df657..f52692a 100644
--- a/src/qcbor_encode.c
+++ b/src/qcbor_encode.c
@@ -768,9 +768,9 @@
 void QCBOREncode_AddDouble(QCBOREncodeContext *me, double dNum)
 {
 #ifndef QCBOR_DISABLE_PREFERRED_FLOAT
-   const IEEE754_union uNum = IEEE754_DoubleToSmallest(dNum);
+   const IEEE754_union uNum = IEEE754_DoubleToSmaller(dNum, true);
 
-   QCBOREncode_AddType7(me, uNum.uSize, uNum.uValue);
+   QCBOREncode_AddType7(me, (uint8_t)uNum.uSize, uNum.uValue);
 #else /* QCBOR_DISABLE_PREFERRED_FLOAT */
    QCBOREncode_AddDoubleNoPreferred(me, dNum);
 #endif /* QCBOR_DISABLE_PREFERRED_FLOAT */
@@ -794,9 +794,9 @@
 void QCBOREncode_AddFloat(QCBOREncodeContext *me, float fNum)
 {
 #ifndef QCBOR_DISABLE_PREFERRED_FLOAT
-   const IEEE754_union uNum = IEEE754_FloatToSmallest(fNum);
+   const IEEE754_union uNum = IEEE754_SingleToHalf(fNum);
 
-   QCBOREncode_AddType7(me, uNum.uSize, uNum.uValue);
+   QCBOREncode_AddType7(me, (uint8_t)uNum.uSize, uNum.uValue);
 #else /* QCBOR_DISABLE_PREFERRED_FLOAT */
    QCBOREncode_AddFloatNoPreferred(me, fNum);
 #endif /* QCBOR_DISABLE_PREFERRED_FLOAT */