diff --git a/fsp/fsp0fsp.c b/fsp/fsp0fsp.c
index 742673dc9d1..189965fa24b 100644
--- a/fsp/fsp0fsp.c
+++ b/fsp/fsp0fsp.c
@@ -637,6 +637,8 @@ xdes_calc_descriptor_page(
 		+ (PAGE_ZIP_MIN_SIZE / FSP_EXTENT_SIZE) * XDES_SIZE
 # error
 #endif
+	ut_ad(ut_is_2pow(zip_size));
+
 	if (!zip_size) {
 		return(ut_2pow_round(offset, UNIV_PAGE_SIZE));
 	} else {
@@ -657,6 +659,8 @@ xdes_calc_descriptor_index(
 				0 for uncompressed pages */
 	ulint	offset)		/* in: page offset */
 {
+	ut_ad(ut_is_2pow(zip_size));
+
 	if (!zip_size) {
 		return(ut_2pow_remainder(offset, UNIV_PAGE_SIZE)
 		       / FSP_EXTENT_SIZE);
diff --git a/ha/hash0hash.c b/ha/hash0hash.c
index a8afa999f7a..0587bb37495 100644
--- a/ha/hash0hash.c
+++ b/ha/hash0hash.c
@@ -136,7 +136,8 @@ hash_create_mutexes_func(
 {
 	ulint	i;
 
-	ut_a(n_mutexes > 0 && ut_is_2pow(n_mutexes));
+	ut_a(n_mutexes > 0);
+	ut_a(ut_is_2pow(n_mutexes));
 
 	table->mutexes = mem_alloc(n_mutexes * sizeof(mutex_t));
 
diff --git a/include/hash0hash.ic b/include/hash0hash.ic
index 7fa71f29967..37eb5ec2813 100644
--- a/include/hash0hash.ic
+++ b/include/hash0hash.ic
@@ -70,6 +70,7 @@ hash_get_mutex_no(
 	hash_table_t*	table,	/* in: hash table */
 	ulint		fold)	/* in: fold */
 {
+	ut_ad(ut_is_2pow(table->n_mutexes));
 	return(ut_2pow_remainder(fold, table->n_mutexes));
 }
 
diff --git a/include/ut0ut.h b/include/ut0ut.h
index 06c0662b560..0bf2feca853 100644
--- a/include/ut0ut.h
+++ b/include/ut0ut.h
@@ -97,30 +97,15 @@ ut_pair_cmp(
 	ulint	b1,	/* in: more significant part of second pair */
 	ulint	b2);	/* in: less significant part of second pair */
 /*****************************************************************
-Determines if a number is zero or a power of two.
-This function is used in assertions or assertion-like tests. */
-UNIV_INLINE
-ibool
-ut_is_2pow(
-/*=======*/		/* out: TRUE if zero or a power of 2 */
-	ulint	n);	/* in: number to be tested */
+Determines if a number is zero or a power of two. */
+#define ut_is_2pow(n) UNIV_LIKELY(!((n) & ((n) - 1)))
 /*****************************************************************
-Calculates fast the remainder when divided by a power of two. */
-UNIV_INLINE
-ulint
-ut_2pow_remainder(
-/*==============*/	/* out: remainder */
-	ulint	n,	/* in: number to be divided */
-	ulint	m);	/* in: divisor; power of 2 */
+Calculates fast the remainder of n/m when m is a power of two. */
+#define ut_2pow_remainder(n, m) ((n) & ((m) - 1))
 /*****************************************************************
-Calculates fast value rounded to a multiple of a power of 2. */
-UNIV_INLINE
-ulint
-ut_2pow_round(
-/*==========*/		/* out: value of n rounded down to nearest
-			multiple of m */
-	ulint	n,	/* in: number to be rounded */
-	ulint	m);	/* in: divisor; power of 2 */
+Calculates n rounded down to the nearest multiple of m
+when m is a power of two. */
+#define ut_2pow_round(n, m) ((n) & ~((m) - 1))
 /*****************************************************************
 Calculates fast the 2-logarithm of a number, rounded upward to an
 integer. */
diff --git a/include/ut0ut.ic b/include/ut0ut.ic
index 4fb0be0e806..12cd48bb7eb 100644
--- a/include/ut0ut.ic
+++ b/include/ut0ut.ic
@@ -101,47 +101,6 @@ ut_pair_cmp(
 	}
 }
 
-/*****************************************************************
-Determines if a number is zero or a power of two.
-This function is used in assertions or assertion-like tests. */
-UNIV_INLINE
-ibool
-ut_is_2pow(
-/*=======*/		/* out: TRUE if zero or a power of 2 */
-	ulint	n)	/* in: number to be tested */
-{
-	return(UNIV_LIKELY(!(n & (n - 1))));
-}
-
-/*****************************************************************
-Calculates fast the remainder when divided by a power of two. */
-UNIV_INLINE
-ulint
-ut_2pow_remainder(
-/*==============*/	/* out: remainder */
-	ulint	n,	/* in: number to be divided */
-	ulint	m)	/* in: divisor; power of 2 */
-{
-	ut_ad(ut_is_2pow(m));
-
-	return(n & (m - 1));
-}
-
-/*****************************************************************
-Calculates fast a value rounded to a multiple of a power of 2. */
-UNIV_INLINE
-ulint
-ut_2pow_round(
-/*==========*/		/* out: value of n rounded down to nearest
-			multiple of m */
-	ulint	n,	/* in: number to be rounded */
-	ulint	m)	/* in: divisor; power of 2 */
-{
-	ut_ad(ut_is_2pow(m));
-
-	return(n & ~(m - 1));
-}
-
 /*****************************************************************
 Calculates fast the 2-logarithm of a number, rounded upward to an
 integer. */
diff --git a/os/os0proc.c b/os/os0proc.c
index 33f3064e4d9..23d8907ff3d 100644
--- a/os/os0proc.c
+++ b/os/os0proc.c
@@ -86,7 +86,9 @@ os_mem_alloc_large(
 	}
 
 	/* Align block size to os_large_page_size */
-	size = ut_2pow_round(*n + os_large_page_size - 1, os_large_page_size);
+	ut_ad(ut_is_2pow(os_large_page_size));
+	size = ut_2pow_round(*n + (os_large_page_size - 1),
+			     os_large_page_size);
 
 	shmid = shmget(IPC_PRIVATE, (size_t)size, SHM_HUGETLB | SHM_R | SHM_W);
 	if (shmid < 0) {
@@ -126,7 +128,8 @@ skip:
 	GetSystemInfo(&system_info);
 
 	/* Align block size to system page size */
-	size = *n = ut_2pow_round(*n + system_info.dwPageSize - 1,
+	ut_ad(ut_is_2pow(system_info.dwPageSize));
+	size = *n = ut_2pow_round(*n + (system_info.dwPageSize - 1),
 				  system_info.dwPageSize);
 	ptr = VirtualAlloc(NULL, size, MEM_COMMIT | MEM_RESERVE,
 			   PAGE_READWRITE);
@@ -147,7 +150,8 @@ skip:
 	size = UNIV_PAGE_SIZE;
 # endif
 	/* Align block size to system page size */
-	size = *n = ut_2pow_round(*n + size - 1, size);
+	ut_ad(ut_is_2pow(size));
+	size = *n = ut_2pow_round(*n + (size - 1), size);
 	ptr = mmap(NULL, size, PROT_READ | PROT_WRITE,
 		   MAP_PRIVATE | OS_MAP_ANON, -1, 0);
 	if (UNIV_UNLIKELY(ptr == (void*) -1)) {
diff --git a/row/row0merge.c b/row/row0merge.c
index 47bb72a124e..0429e25df6e 100644
--- a/row/row0merge.c
+++ b/row/row0merge.c
@@ -1474,7 +1474,8 @@ row_merge_sort(
 		ulint	half;
 		ulint	error;
 
-		half = ut_2pow_round((file->offset + blksz - 1) / 2, blksz);
+		ut_ad(ut_is_2pow(blksz));
+		half = ut_2pow_round((file->offset + (blksz - 1)) / 2, blksz);
 		error = row_merge(index, file, half, block, tmpfd, table);
 
 		if (error != DB_SUCCESS) {