diff --git a/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigDecimalField.kt b/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigDecimalField.kt
new file mode 100644
index 000000000..507c8c163
--- /dev/null
+++ b/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigDecimalField.kt
@@ -0,0 +1,28 @@
+package scientifik.kmath.bignum
+
+import com.ionspin.kotlin.bignum.decimal.BigDecimal
+import com.ionspin.kotlin.bignum.decimal.DecimalMode
+import scientifik.kmath.operations.Field
+
+abstract class BigDecimalFieldBase internal constructor(val mode: DecimalMode = DecimalMode.DEFAULT) :
+    Field<BigDecimal> {
+    override val zero: BigDecimal
+        get() = BigDecimal.ZERO
+
+    override val one: BigDecimal
+        get() = BigDecimal.ONE
+
+    override fun number(value: Number): BigDecimal = BigDecimal.fromDouble(value.toDouble(), mode)
+    override fun add(a: BigDecimal, b: BigDecimal): BigDecimal = a.add(b, mode)
+    override fun multiply(a: BigDecimal, k: Number): BigDecimal = a.times(number(k))
+    override fun multiply(a: BigDecimal, b: BigDecimal): BigDecimal = a.times(b)
+    override fun divide(a: BigDecimal, b: BigDecimal): BigDecimal = a.divide(b)
+    override fun BigDecimal.times(k: Number): BigDecimal = times(number(k))
+    override fun BigDecimal.plus(b: Number): BigDecimal = plus(number(b))
+    override fun BigDecimal.minus(b: Number): BigDecimal = minus(number(b))
+    override fun BigDecimal.div(k: Number): BigDecimal = div(number(k))
+}
+
+class BigDecimalField(mode: DecimalMode = DecimalMode.DEFAULT) : BigDecimalFieldBase(mode) {
+    companion object : BigDecimalFieldBase()
+}
diff --git a/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigIntegerRing.kt b/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigIntegerRing.kt
index 3608256b9..3c573ccf3 100644
--- a/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigIntegerRing.kt
+++ b/kmath-bignum/src/commonMain/kotlin/scientifik/kmath/bignum/BigIntegerRing.kt
@@ -12,10 +12,10 @@ object BigIntegerRing : Ring<BigInteger> {
 
     override fun number(value: Number): BigInteger = BigInteger.fromLong(value.toLong())
     override fun add(a: BigInteger, b: BigInteger): BigInteger = a + b
-    override fun multiply(a: BigInteger, k: Number): BigInteger = a * (number(k))
+    override fun multiply(a: BigInteger, k: Number): BigInteger = a * k.toLong()
     override fun multiply(a: BigInteger, b: BigInteger): BigInteger = a * b
-    override fun BigInteger.plus(b: Number): BigInteger = plus(number(b))
-    override fun BigInteger.minus(b: Number): BigInteger = minus(number(b))
-    override fun BigInteger.div(k: Number): BigInteger = divide(number(k))
-    override fun BigInteger.times(k: Number): BigInteger = multiply(number(k))
+    override fun BigInteger.plus(b: Number): BigInteger = plus(b.toLong())
+    override fun BigInteger.minus(b: Number): BigInteger = minus(b.toLong())
+    override fun BigInteger.div(k: Number): BigInteger = div(k.toLong())
+    override fun BigInteger.times(k: Number): BigInteger = times(k.toLong())
 }