diff --git a/src/main/kotlin/step1/Person.kt b/src/main/kotlin/person/Person.kt
similarity index 87%
rename from src/main/kotlin/step1/Person.kt
rename to src/main/kotlin/person/Person.kt
index cc94b37..e5c3bc5 100644
--- a/src/main/kotlin/step1/Person.kt
+++ b/src/main/kotlin/person/Person.kt
@@ -1,4 +1,4 @@
-package step1
+package person
 
 data class Person(
     val name: String,
diff --git a/src/main/kotlin/racingcar/Step2Application.kt b/src/main/kotlin/racingcar/Step2Application.kt
new file mode 100644
index 0000000..8ef08ea
--- /dev/null
+++ b/src/main/kotlin/racingcar/Step2Application.kt
@@ -0,0 +1,4 @@
+package racingcar
+
+fun main(args: Array<String>) {
+}
diff --git a/src/main/kotlin/racingcar/application/CalculateUseCase.kt b/src/main/kotlin/racingcar/application/CalculateUseCase.kt
new file mode 100644
index 0000000..0ecf345
--- /dev/null
+++ b/src/main/kotlin/racingcar/application/CalculateUseCase.kt
@@ -0,0 +1,24 @@
+package racingcar.application
+
+import racingcar.service.ExpressionCalculator
+import racingcar.service.StringTokenizer
+import racingcar.service.Token2ExpressionConvertor
+import racingcar.vo.Expression
+import racingcar.vo.RawToken
+
+class CalculateUseCase(
+    private val stringTokenizer: StringTokenizer,
+    private val token2ExpressionConvertor: Token2ExpressionConvertor,
+    private val expressionCalculator: ExpressionCalculator,
+) {
+    fun calculate(stringExpression: String): Double {
+        require(stringExpression.isNotBlank()) { "빈 표현식은 계산할 수 없습니다." }
+
+        val tokens: List<RawToken> = stringTokenizer.parse(expression = stringExpression)
+
+        val expression: Expression = token2ExpressionConvertor.convert(tokens = tokens)
+
+        require(expressionCalculator.isCalculable(expression)) { "계산할 수 없는 표현식 타입입니다." }
+        return expressionCalculator.calculate(expression = expression)
+    }
+}
diff --git a/src/main/kotlin/racingcar/service/ExpressionCalculator.kt b/src/main/kotlin/racingcar/service/ExpressionCalculator.kt
new file mode 100644
index 0000000..480cc3d
--- /dev/null
+++ b/src/main/kotlin/racingcar/service/ExpressionCalculator.kt
@@ -0,0 +1,62 @@
+package racingcar.service
+
+import racingcar.type.ExpressionType
+import racingcar.type.OperatorType
+import racingcar.vo.Expression
+import racingcar.vo.ExpressionToken
+import racingcar.vo.NumberToken
+import racingcar.vo.OperatorToken
+
+interface ExpressionCalculator {
+    fun isCalculable(expression: Expression): Boolean
+
+    fun calculate(expression: Expression): Double
+}
+
+class PostfixExpressionCalculator : ExpressionCalculator {
+    override fun isCalculable(expression: Expression): Boolean {
+        return expression.type == ExpressionType.POSTFIX
+    }
+
+    override fun calculate(expression: Expression): Double {
+        val stack: ArrayDeque<ExpressionToken> = expression.tokens
+            .fold(ArrayDeque()) { stack, token -> stack.calculateToken(token) }
+
+        require(stack.size == 1) { "계산이 완료되지 않은 표현식입니다." }
+
+        val result: NumberToken = stack.removeLastOrNull() as? NumberToken
+            ?: throw IllegalArgumentException("계산이 완료되지 않은 표현식입니다.")
+
+        return result.value
+    }
+
+    private fun ArrayDeque<ExpressionToken>.calculateToken(token: ExpressionToken): ArrayDeque<ExpressionToken> {
+        when (token) {
+            is NumberToken -> this.addLast(token)
+
+            is OperatorToken -> {
+                val number2 = this.removeLastOrNull()
+                val number1 = this.removeLastOrNull()
+                this.addLast(NumberToken(evaluate(token, number1, number2)))
+            }
+        }
+
+        return this
+    }
+
+    private fun evaluate(operator: OperatorToken, number1: ExpressionToken?, number2: ExpressionToken?): Double {
+        if (number1 !is NumberToken || number2 !is NumberToken) {
+            throw IllegalArgumentException("잘못된 계산 식입니다.")
+        }
+
+        return when (operator.operatorType) {
+            OperatorType.ADD -> number1.value + number2.value
+            OperatorType.SUBTRACT -> number1.value - number2.value
+            OperatorType.MULTIPLY -> number1.value * number2.value
+            OperatorType.DIVIDE -> {
+                require(number2.value != 0.0) { "0으로 나눌 수 없습니다." }
+                number1.value / number2.value
+            }
+        }
+    }
+}
diff --git a/src/main/kotlin/racingcar/service/StringTokenizer.kt b/src/main/kotlin/racingcar/service/StringTokenizer.kt
new file mode 100644
index 0000000..632ade5
--- /dev/null
+++ b/src/main/kotlin/racingcar/service/StringTokenizer.kt
@@ -0,0 +1,29 @@
+package racingcar.service
+
+import racingcar.type.ExpressionRegex
+import racingcar.vo.RawToken
+
+/**
+ * 문자열로 된 표현식을 토큰 단위로 분리한다.
+ */
+interface StringTokenizer {
+    fun parse(expression: String): List<RawToken>
+}
+
+class RegexStringTokenizer : StringTokenizer {
+    override fun parse(expression: String): List<RawToken> {
+        val trimmedExpression: String = expression.replace(WHITESPACE_REGEX, "")
+
+        if (trimmedExpression.matches(ExpressionRegex.EXPRESSION.regex) == false) {
+            throw IllegalArgumentException("유효하지 않은 입력입니다.")
+        }
+
+        return ExpressionRegex.TOKEN.regex.findAll(input = trimmedExpression)
+            .map { RawToken(it.value) }
+            .toList()
+    }
+
+    companion object {
+        private val WHITESPACE_REGEX: Regex = Regex("\\s")
+    }
+}
diff --git a/src/main/kotlin/racingcar/service/Token2ExpressionConvertor.kt b/src/main/kotlin/racingcar/service/Token2ExpressionConvertor.kt
new file mode 100644
index 0000000..b40c8b3
--- /dev/null
+++ b/src/main/kotlin/racingcar/service/Token2ExpressionConvertor.kt
@@ -0,0 +1,61 @@
+package racingcar.service
+
+import racingcar.type.ExpressionRegex
+import racingcar.type.ExpressionType
+import racingcar.vo.Expression
+import racingcar.vo.ExpressionToken
+import racingcar.vo.NumberToken
+import racingcar.vo.OperatorToken
+import racingcar.vo.RawToken
+
+/**
+ * 토큰 리스트를 표현식으로 변환한다.
+ */
+interface Token2ExpressionConvertor {
+    fun convert(tokens: List<RawToken>): Expression
+}
+
+class PostfixToken2ExpressionConvertor : Token2ExpressionConvertor {
+    override fun convert(tokens: List<RawToken>): Expression {
+        return tokens.map(::toExpressionToken)
+            .let { infixTokens: List<ExpressionToken> -> convertToPostfix(infixTokens) }
+            .let { postfixTokens: List<ExpressionToken> ->
+                Expression(
+                    type = ExpressionType.POSTFIX,
+                    tokens = postfixTokens,
+                )
+            }
+    }
+
+    private fun convertToPostfix(infixTokens: List<ExpressionToken>): List<ExpressionToken> {
+        val postfixExpression = mutableListOf<ExpressionToken>()
+        val operatorStack = ArrayDeque<ExpressionToken>()
+
+        infixTokens.forEach { token ->
+            when (token) {
+                is NumberToken -> postfixExpression.add(token)
+                is OperatorToken -> {
+                    if (operatorStack.isNotEmpty()) postfixExpression.add(operatorStack.removeLast())
+                    operatorStack.addLast(token)
+                }
+            }
+        }
+
+        postfixExpression.addAll(operatorStack)
+        return postfixExpression
+    }
+
+    private fun toExpressionToken(rawToken: RawToken): ExpressionToken {
+        if (rawToken.value.matches(ExpressionRegex.OPERATOR.regex)) {
+            return OperatorToken.fromRawTokenOrNull(rawToken)
+                ?: throw IllegalArgumentException("연산자로 변환할 수 없는 토큰입니다 (token=$rawToken)")
+        }
+
+        if (rawToken.value.matches(ExpressionRegex.NUMBER.regex)) {
+            return NumberToken.fromRawTokenOrNull(rawToken)
+                ?: throw IllegalArgumentException("숫자로 변환 할 수 없는 토큰입니다 (token=$rawToken)")
+        }
+
+        throw IllegalArgumentException("유효하지 않은 토큰입니다 (token=$rawToken)")
+    }
+}
diff --git a/src/main/kotlin/racingcar/type/ExpressionRegex.kt b/src/main/kotlin/racingcar/type/ExpressionRegex.kt
new file mode 100644
index 0000000..b824adc
--- /dev/null
+++ b/src/main/kotlin/racingcar/type/ExpressionRegex.kt
@@ -0,0 +1,8 @@
+package racingcar.type
+
+enum class ExpressionRegex(val regex: Regex) {
+    NUMBER(regex = "([1-9][0-9]*)".toRegex()),
+    OPERATOR(regex = "[+\\-*/]".toRegex()),
+    TOKEN(regex = "${NUMBER.regex}|${OPERATOR.regex}".toRegex()),
+    EXPRESSION(regex = "${NUMBER.regex}(${OPERATOR.regex}${NUMBER.regex})*".toRegex()),
+}
diff --git a/src/main/kotlin/racingcar/type/ExpressionType.kt b/src/main/kotlin/racingcar/type/ExpressionType.kt
new file mode 100644
index 0000000..dd6a5b5
--- /dev/null
+++ b/src/main/kotlin/racingcar/type/ExpressionType.kt
@@ -0,0 +1,5 @@
+package racingcar.type
+
+enum class ExpressionType(val description: String) {
+    POSTFIX("후위표기식"),
+}
diff --git a/src/main/kotlin/racingcar/type/OperatorType.kt b/src/main/kotlin/racingcar/type/OperatorType.kt
new file mode 100644
index 0000000..5fb9813
--- /dev/null
+++ b/src/main/kotlin/racingcar/type/OperatorType.kt
@@ -0,0 +1,8 @@
+package racingcar.type
+
+enum class OperatorType(val symbol: String) {
+    ADD("+"),
+    SUBTRACT("-"),
+    MULTIPLY("*"),
+    DIVIDE("/"),
+}
diff --git a/src/main/kotlin/racingcar/vo/Expression.kt b/src/main/kotlin/racingcar/vo/Expression.kt
new file mode 100644
index 0000000..8eceb30
--- /dev/null
+++ b/src/main/kotlin/racingcar/vo/Expression.kt
@@ -0,0 +1,8 @@
+package racingcar.vo
+
+import racingcar.type.ExpressionType
+
+data class Expression(
+    val type: ExpressionType,
+    val tokens: List<ExpressionToken>,
+)
diff --git a/src/main/kotlin/racingcar/vo/ExpressionToken.kt b/src/main/kotlin/racingcar/vo/ExpressionToken.kt
new file mode 100644
index 0000000..4d3c76d
--- /dev/null
+++ b/src/main/kotlin/racingcar/vo/ExpressionToken.kt
@@ -0,0 +1,28 @@
+package racingcar.vo
+
+import racingcar.type.OperatorType
+
+sealed interface ExpressionToken
+
+data class NumberToken(val value: Double) : ExpressionToken {
+    companion object {
+        fun fromRawTokenOrNull(raw: RawToken): NumberToken? {
+            return raw.value.toDoubleOrNull()
+                ?.let(::NumberToken)
+        }
+    }
+}
+
+data class OperatorToken(val operatorType: OperatorType) : ExpressionToken {
+    companion object {
+        fun fromRawTokenOrNull(raw: RawToken): OperatorToken? {
+            return when (raw.value) {
+                "+" -> OperatorToken(OperatorType.ADD)
+                "-" -> OperatorToken(OperatorType.SUBTRACT)
+                "*" -> OperatorToken(OperatorType.MULTIPLY)
+                "/" -> OperatorToken(OperatorType.DIVIDE)
+                else -> null
+            }
+        }
+    }
+}
diff --git a/src/main/kotlin/racingcar/vo/RawToken.kt b/src/main/kotlin/racingcar/vo/RawToken.kt
new file mode 100644
index 0000000..f7c47ac
--- /dev/null
+++ b/src/main/kotlin/racingcar/vo/RawToken.kt
@@ -0,0 +1,3 @@
+package racingcar.vo
+
+data class RawToken(val value: String)
diff --git a/src/test/kotlin/step1/PersonTest.kt b/src/test/kotlin/person/PersonTest.kt
similarity index 99%
rename from src/test/kotlin/step1/PersonTest.kt
rename to src/test/kotlin/person/PersonTest.kt
index 53b4a7a..074b1a7 100644
--- a/src/test/kotlin/step1/PersonTest.kt
+++ b/src/test/kotlin/person/PersonTest.kt
@@ -1,4 +1,4 @@
-package step1
+package person
 
 import io.kotest.assertions.assertSoftly
 import io.kotest.assertions.withClue
diff --git a/src/test/kotlin/racingcar/application/CalculateUseCaseTest.kt b/src/test/kotlin/racingcar/application/CalculateUseCaseTest.kt
new file mode 100644
index 0000000..879cecf
--- /dev/null
+++ b/src/test/kotlin/racingcar/application/CalculateUseCaseTest.kt
@@ -0,0 +1,93 @@
+package racingcar.application
+
+import io.kotest.assertions.throwables.shouldNotThrowAny
+import io.kotest.assertions.throwables.shouldThrow
+import io.kotest.core.spec.style.FreeSpec
+import io.kotest.matchers.shouldBe
+import racingcar.service.PostfixExpressionCalculator
+import racingcar.service.PostfixToken2ExpressionConvertor
+import racingcar.service.RegexStringTokenizer
+
+class CalculateUseCaseTest : FreeSpec({
+
+    val calculateUseCase = CalculateUseCase(
+        stringTokenizer = RegexStringTokenizer(),
+        token2ExpressionConvertor = PostfixToken2ExpressionConvertor(),
+        expressionCalculator = PostfixExpressionCalculator(),
+    )
+
+    "기본적인 사칙연산을 수행할 수 있어야 한다" - {
+        "숫자 하나만 입력" {
+            val result = shouldNotThrowAny { calculateUseCase.calculate("5") }
+
+            result shouldBe 5.0
+        }
+
+        "덧셈" {
+            val result = calculateUseCase.calculate("1+2")
+
+            result shouldBe 3.0
+        }
+
+        "뺄셈" {
+            val result = calculateUseCase.calculate("3-1")
+
+            result shouldBe 2.0
+        }
+
+        "곱셈" {
+            val result = calculateUseCase.calculate("3*3")
+
+            result shouldBe 9.0
+        }
+
+        "나눗셈" {
+            val result = calculateUseCase.calculate("10/8")
+
+            result shouldBe 1.25
+        }
+    }
+
+    "계산 순서는 사칙연산 규칙을 따르지 않고, 입력 값 순서대로 계산한다" - {
+        "덧셈과 뺼셈" {
+            val result = calculateUseCase.calculate("1-1+2+4-1+2+602+20+1")
+
+            result shouldBe (1 - 1 + 2 + 4 - 1 + 2 + 602 + 20 + 1)
+        }
+
+        "덧셈과 곱셈" {
+            val result = calculateUseCase.calculate("1+3123*36623")
+
+            result shouldBe (1 + 3123) * 36623
+        }
+
+        "뺄셈과 나눗셈" {
+            val result = calculateUseCase.calculate("615121-42323/2")
+
+            result shouldBe (615121 - 42323) / 2
+        }
+    }
+
+    "계산할 수 없는 경우네는 예외를 반환한다" - {
+        "빈 문자열 입력" {
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("") }
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("   ") }
+        }
+
+        "유효하지 않은 문자열 입력" {
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("안녕하세요") }
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("3더하기3") }
+        }
+
+        "잘못된 수식 입력" {
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("0++12-1") }
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("--32-1") }
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("1+1--1") }
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("+") }
+        }
+
+        "숫자를 0으로 나눔" {
+            shouldThrow<IllegalArgumentException> { calculateUseCase.calculate("1+1/0") }
+        }
+    }
+})