diff --git a/roaring/roaring.go b/roaring/roaring.go
index f24e13fdd..bae6b60bb 100644
--- a/roaring/roaring.go
+++ b/roaring/roaring.go
@@ -1363,12 +1363,65 @@ func (c *container) arrayToBitmap() {
 	c.mapped = false
 }
 
+// runToBitmap converts from RLE format to bitmap format
 func (c *container) runToBitmap() {
-	// TODO
+	c.bitmap = make([]uint64, bitmapN)
+	for _, r := range c.runs {
+		// TODO is there a faster way ?!?!!
+		for v := r.start; v <= r.last; v++ {
+			c.bitmap[int(v)/64] |= (uint64(1) << uint(v%64))
+		}
+	}
+	c.runs = nil
+	c.mapped = false
 }
 
+// bitmapToRun converts from bitmap format to RLE format
 func (c *container) bitmapToRun() {
-	// TODO
+	numRuns := c.n // TODO compute properly
+	c.runs = make([]interval32, 0, numRuns)
+	// TODO return early if no runs
+
+	current := c.bitmap[0]
+	var i, start, last uint32
+	for {
+		// skip while empty 
+		for current == 0 && i < bitmapN-1 {
+			i++
+			current = c.bitmap[i]
+		}
+
+		if current == 0 {
+			break
+		}
+		currentStart := uint32(trailingZeroN(current))
+		start = 64 * i + currentStart
+
+		// pad LSBs with 1s
+		current = current | (current-1)
+
+		// find next 0
+		for current == 0xFFFFFFFFFFFFFFFF && i < bitmapN-1 {
+			i++
+			current = c.bitmap[i]
+		}
+
+		last = 0
+		if current == 0xFFFFFFFFFFFFFFFF {
+			last = 64*i + 64  // TODO verify
+			c.runs = append(c.runs, interval32{start, last-1})
+			break
+		}
+		currentLast := uint32(trailingZeroN(^current))
+		last = 64 * i + currentLast
+		c.runs = append(c.runs, interval32{start, last-1})
+
+		// pad LSBs with 0s
+		current = current & (current+1)
+	}
+
+	c.bitmap = nil
+	c.mapped = false
 }
 
 // arrayToRun converts from array format to RLE format
diff --git a/roaring/roaring_internal_test.go b/roaring/roaring_internal_test.go
index 1d58c9b01..e6643e5f5 100644
--- a/roaring/roaring_internal_test.go
+++ b/roaring/roaring_internal_test.go
@@ -731,6 +731,75 @@ func TestBitmapSetRange(t *testing.T) {
 	}
 }
 
+func TestRunToBitmap(t *testing.T) {
+	a := &container{}
+	tests := []struct {
+		runs []interval32
+		exp  []uint64
+	}{
+		{
+			runs: []interval32{{start: 0, last: 0}},
+			exp:  []uint64{1},
+		},
+		{
+			runs: []interval32{{start: 0, last: 4}},
+			exp:  []uint64{31},
+		},
+		{
+			runs: []interval32{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}},
+			exp:  []uint64{155876},
+		},
+	}
+
+	for i, test := range tests {
+		exp := make([]uint64, bitmapN)
+		for i, v := range test.exp {
+			exp[i] = v
+		}
+
+		a.runs = test.runs
+		a.runToBitmap()
+		if !reflect.DeepEqual(a.bitmap, exp) {
+			t.Logf("test #%v expected %v, but got (%d) %v", i, exp, a.bitmap)
+		}
+	}
+}
+
+func TestBitmapToRun(t *testing.T) {
+	a := &container{}
+	tests := []struct {
+		bitmap []uint64
+		exp    []interval32
+	}{
+		{
+			bitmap: []uint64{1},
+			exp:    []interval32{{start: 0, last: 0}},
+		},
+		{
+			bitmap: []uint64{31},
+			exp:    []interval32{{start: 0, last: 4}},
+		},
+		{
+			bitmap: []uint64{155876},
+			exp:    []interval32{{start: 2, last: 2}, {start: 5, last: 7}, {start: 13, last: 14}, {start: 17, last: 17}},
+		},
+	}
+
+	for i, test := range tests {
+		a.bitmap = make([]uint64, bitmapN)
+		n := 0
+		for i, v := range test.bitmap {
+			a.bitmap[i] = v
+			n += int(popcount(v))
+		}
+		a.n = n
+		a.bitmapToRun()
+		if !reflect.DeepEqual(a.runs, test.exp) {
+			t.Fatalf("test #%v expected %v, but got %v", i, test.exp, a.runs)
+		}
+	}
+}
+
 func TestArrayToRun(t *testing.T) {
 	a := &container{}
 	tests := []struct {