diff --git a/library/bignum.c b/library/bignum.c
index c1bed66..3328d64 100644
--- a/library/bignum.c
+++ b/library/bignum.c
@@ -1113,6 +1113,7 @@
         unsigned *ret )
 {
     size_t i;
+    /* The value of any of these variables is either 0 or 1 at all times. */
     unsigned cond, done, sign_X, sign_Y;
 
     MPI_VALIDATE_RET( X != NULL );
@@ -1131,14 +1132,14 @@
 
     /*
      * If the signs are different, then the positive operand is the bigger.
-     * That is if X is negative (sign bit 1), then X < Y is true and it is false
-     * if X is positive (sign bit 0).
+     * That is if X is negative (sign_X == 1), then X < Y is true and it is
+     * false if X is positive (sign_X == 0).
      */
     cond = ( sign_X ^ sign_Y );
     *ret = cond & sign_X;
 
     /*
-     * This is a constant time function, we might have the result, but we still
+     * This is a constant-time function. We might have the result, but we still
      * need to go through the loop. Record if we have the result already.
      */
     done = cond;