diff --git a/math/dec.go b/math/dec.go
index 2bfd76c169d9..5e4a85beed42 100644
--- a/math/dec.go
+++ b/math/dec.go
@@ -1,6 +1,8 @@
 package math
 
 import (
+	"bytes"
+	"encoding/binary"
 	"encoding/json"
 	"math/big"
 
@@ -400,12 +402,54 @@ func (x Dec) Reduce() (Dec, int) {
 	return y, n
 }
 
+// Marshal serializes the decimal value into a byte slice in binary format.
+//
+// The binary format specification is as follows:
+//
+// 1. The first byte indicates the sign of the decimal value.
+//   - The byte value '-' (0x2D) represents a negative value.
+//   - The byte value '+' (0x2B) represents a positive value.
+//
+//  2. The next 4 bytes represent the exponent of the decimal value in big-endian format,
+//     serialized as an unsigned 32-bit integer.
+//
+// 3. The remaining bytes represent the absolute value of the coefficient in big-endian format.
+//
+// An error is returned if the serialization process fails. However, in the provided code,
+// the error is always `nil`.
 func (x Dec) Marshal() ([]byte, error) {
-	panic("not implemented")
+	src, _ := x.Reduce()
+	var buf bytes.Buffer
+	if src.dec.Negative {
+		buf.WriteByte('-')
+	} else {
+		buf.WriteByte('+')
+	}
+	expBz := binary.BigEndian.AppendUint32([]byte{}, uint32(src.dec.Exponent))
+	buf.Write(expBz)
+	buf.Write(src.dec.Coeff.Bytes())
+	return buf.Bytes(), nil
 }
 
+// Unmarshal parses a byte slice containing a binary decimal and stores the result in the receiver.
+// It returns an error if the byte slice does not represent a valid decimal.
+// See Marshal for details on the encoding format.
 func (x *Dec) Unmarshal(data []byte) error {
-	panic("not implemented")
+	if len(data) < 5 {
+		return ErrInvalidDec.Wrap("insufficient byte length")
+	}
+	coeffNeg := data[0] == '-'
+	exp := binary.BigEndian.Uint32(data[1:5])
+	coeff := new(apd.BigInt).SetBytes(data[5:])
+	apdDec := apd.NewWithBigInt(coeff, int32(exp))
+	if coeffNeg {
+		apdDec = apdDec.Neg(apdDec)
+	}
+	if apdDec.Form != apd.Finite {
+		return ErrInvalidDec.Wrap("unknown decimal form")
+	}
+	x.dec = *apdDec
+	return nil
 }
 
 // MarshalTo encodes the receiver into the provided byte slice and returns the number of bytes written and any error encountered.
diff --git a/math/dec_test.go b/math/dec_test.go
index e7b5c662374e..71bae2a0e70d 100644
--- a/math/dec_test.go
+++ b/math/dec_test.go
@@ -1312,7 +1312,6 @@ func must[T any](r T, err error) T {
 }
 
 func TestMarshalUnmarshal(t *testing.T) {
-	t.Skip("not supported, yet")
 	specs := map[string]struct {
 		x      Dec
 		exp    string
@@ -1391,8 +1390,8 @@ func TestMarshalUnmarshal(t *testing.T) {
 			exp: "1E+100000",
 		},
 		"1.1e100000": {
-			x:      NewDecWithExp(11, 100_000),
-			expErr: ErrInvalidDec,
+			x:   NewDecWithExp(11, 100_000),
+			exp: "1.E+100001",
 		},
 		"1.e100000": {
 			x:   NewDecWithExp(1, 100_000),