사용자:up_down(r140 판)

100111010001100 1001000000110010 110110011010101 100000 101111 100000 1100010 1101001 1101110 1100001 1110010 1111001

110010 1100100111000100 10111100100101011100011101000000 100000 110000 1010110011111100 100000 110001 1100011101110100 1011011101111100 1011001010010100 100000 1011010001010000 100000 1010110000011100 1100011101011000 100000 1100001000101011 1100011110010000 1011100111001100 1100011101000100 100000 1100000010101100 1100011010101001 1101010101011000 1100010111101100 100000 1100001000011000 1011100101111100 100000 1011000010011000 1101000011000000 1011000010110100 1011001010010100 100000 1100100111000100 1011110010010101 1100011101000100 100000 1011100111010000 1101010101011100 1011001011100100 101110 100000 1011101111111000 1100100000000001 1011110110000100 1101010101011001 1100011101011000 100000 1100110000111101 1100001011011100 1100011110010000 1100011101110100 1010111000110000 1011001111000100 100000 1101010101011100 100000 1010110011100000 1101001010111000 1101010100000100 1011100110101100 1101001010111000 100000 1011111001001100 1101010111101100 1011100110000100 100000 1011011101111100 1100011101110100 1101010100000100 1011001011001000 1100111000100000 1010110000000000 100000 1010110011100000 1100010101001000 1101010101011000 1100011000000000 1011001011100100 101110

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110001 1100011101011000 100000 1011110011110100 1100001000011000 1100010111010000 1100000100011100 1011001010010100 100000 110000 110000 110000 110000 100000 110000 110000 110000 110000 1010110011111100 100000 110001 110001 110001 110001 100000 110001 110001 110001 110001 1100011101110100 100000 1011101010101000 1011010001010000 100000 110000 1100011101110100 100000 1011010000011000 1011101111000000 1011100001011100 100000 110000 1100011101110100 100000 1011010001010000 100000 1010110000000000 1100100111000000 1011100001011100 100000 1101010001011100 1101011000000100 1011010000011000 1011001010010100 100000 1011101100111000 1100100000011100 1010110000000000 100000 1100000011011101 1010111000110100 1011001011100100 101110 100000 110010 1100011101011000 100000 1011110011110100 1100001000011000 100000 1101010001011100 1010111000110000 1011001010010100 100000 110001 110000 1100100111000100 1100001000011000 1100011001000000 100000 1100000011000001 1101011000111000 100000 1011110011000000 1101011001011000 1101010101011000 1010111000110000 100000 1010110000000000 1100011110100101 100000 1100010110110100 1011100000100100 1100011010110100 100000 1101010001011100 1010111000110000 1011110010010101 1100011101110100 1010111000110100 100000 1101010101011000 1011000010011000[3] 101100 100000 1100010111110000 1100000010110000 1100010111010000 1100000100011100 100000 1100010110010001 1100001000011000 1100011001000000 100000 1100011101001100 1100001000011000 1011100101111100 100000 1011011000010001 1010110000011001 1100011101110100 100000 1100110111101000 1010111000001001 1101010101100000 100000 1100001000011000 100000 1100011110001000 1011001011100100 1011001010010100 100000 1100010111000100 1100110010101101 1011000010011100 100000 1100011101110100 1100100000010000 1100011101110100 100000 1100011110001000 1011001011100100 101110

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1011001011100100 100000 1100010110010001 1100001000011000 1100011101111000 100000 1100010110010001 100000 1011001101010100 1101010110001000 1011001101010100 1011001011001000 100000 1100011000101100 1011110000010100 1011100101111000 100000 1010110000010010 1100011101110100 100000 1011000010011000 1100011001000000 1011110010000100 1011100000111000 1011001011100100 101110 100000 1100011101110100 1011001010010100 100000 1100011101001100 1100001000011000 101011 1100011101001100 1100001000011000 1011001111000100 100000 1011100111001000 1100110000101100 1010110000000000 1100100111000000 1011001011100100 101110 100000 101101 110101 100000 101011 100000 101000 101101 110111 101001 100000 111101 100000 110001 110001 110001 110001 100000 110001 110000 110001 110001 100000 101011 100000 110001 110001 110001 110001 100000 110001 110000 110000 110001 100000 111101 100000 110001 100000 110001 110001 110001 110001 100000 110000 110001 110000 110000 100000 111101 100000 110001 110001 110001 110001 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100000 1100011000100100 1011100101011000 1011100101111100 100000 1100010101001000 1010110011100000 100000 1100011110001000 1100010110110100 1100000100011100 100000 1011101111111000 1011100110101100 100000 1011110000101001 1100100111000000 1101010101011000 1011001010010100 100000 1010110010000011 1100011101110100 100000 1101010101000100 1100001000011000 1100011101110100 1011001011100100 101110

1100011101111100 1011001011101000 100000 1100100000000100 1010111000110000 100000 1100001011100000 1101011000111000 1010110000000000 100000 1011010011100100 1100010110110100 1100011000101000 1011001011100100 101100 100000 1100010101001000 100000 1011010011100100 1100010110110100 1100011000101000 1011001011100100 1011011101111100 1011001010010100 100000 1100001011011101 1100011100111100 1011100001011100 100000 1100001001111101 1010110010001100 100000 1010110101101100 1101011000000100 1101010101100000 100000 1100001000011000 100000 1100011110001000 1100010110110100 1100000100011100 100000 1100100000000100 1100011110010000 100000 1010111000110000 1010111000110000 101100 100000 1101001010111001 1101011110001000 100000 1100111011110100 1101010011101000 1101000100110000 1100010111010000 1100000100011100 100000 1100000010101100 1100011010101001 1101010101011100 1011001011100100 101110 100000 1010110111111000 1011100110101100 1010110011100000 100000 1010110011100000 1011010011110001 1101010101011001 1010110101010000 100000 1100001000011000 1101010101011001 100000 1010110011111100 1100100000010101 1100011101011000 100000 1100100111000000 1100001000011000 101111 1011100001011100 1010110111111000 100000 1101001100001100 1101001010111000 1100010111010000 100000 1100110110011100 1101011000000100 1101010101110100 100000 1100001000011000 1101010111011000 1100000011011101 1100011101000100 100000 1010110100110100 1011100001101101 1101011110001100 1011001011100100 101110 100000 1011101100111100 1011100001100000 100000 1100101011000100 1100100111000000 100000 1011100111010000 1010110011100000 100000 110001 110000 1100100111000100 1011110010010101 1100110010011000 1011011111111100 100000 1010110011000100 1100000010110000 1101010101011000 1011101001110100 100000 1100000011011101 1010110000000001 1011110011110100 1011001011100100 1011001010010100 100000 1100001001111101 1010110010001100 100000 1101010010000000 1011100110101100 1010111000110100 100000 1101010101011100 1011001011100100 101110

한편, 위에서 볼 수 있듯이 2진법은 0과 1만으로 숫자를 표기하다보니 숫자가 조금만 커져도 엄청난 수의 0과 1이 반복되는 아찔함을 선사한다. 그만큼 사람이 보기 빡세지는데, 요 가독성을 좀 높여보고자 16진법으로 바꿔서 표현하기도 한다.

변환하는 방법을 설명하자면, 10001011111011001010110101001100110101001011010110101101011001₂ 라는 숫자가 있다고 하자. 이를 뒤에서(일의 자리부터) 4자리씩 끊어서 (00)10 0010 1111 1011 0010 1011 0101 0011 0011 0101 0010 1101 0110 1011 0101 1001로 만든 뒤 4자리씩 16진법으로 변환해서 적으면 된다. 변환 결과는 22FB2B53352D6B59₁₆. 이것도 여전히 길어 보이지만 이렇게 바꾸면 길이가 4분의 1로 줄어들고 읽기도 그나마 편해진다.

컴퓨터 과학을 공부하다 보면 이진 로그라는 것을 배우게 되는데, 2진법으로 표기된 수를 좀 더 쉽게 다룰 수 있게 한다.

binary-coded decimal(이진화 십진법)의 약어이며, 10진수의 각 자리수를 모두 분리해서 각각 2진수 형태로 표현한 것이다.

10진수의 한 숫자를 표현하기 위해서 BCD로 총 4자리의 2진수가 된다. 즉 10진수의 모든 숫자를 각각 0000{0₁₀} ~ 1001{9₁₀}로 옮길 수 있으며, 이때 나머지 1010 ~ 1111는 사용하지 않는다.

표기 방식은 각 자릿수마다 해당하는 4자리 2진수로 변환하면 된다.
ex) 365₁₀ ==> 0011⁽¹⁾ 0110⁽²⁾ 0101⁽³⁾_BCD
(1) = 100의 자리 / (2) = 10의 자리 / (3) = 1의 자리

이렇게 되면 덧셈이 중요해지는데, 그냥 2진수 덧셈이랑 같은 방식으로 하는데, 만약 특정 자릿수가 9를 초과하면 0110_BCD = 6₁₀을 더해주면 된다.[4]
ex) 56 + 48 = 0101 0110_BCD + 0100 1000_BCD
= 1001 1110_BCD + 0000 0110_BCD
= 1010 0100_BCD = 104₁₀

초기 공학용 계산기 등에서 사용되었다. 얼핏 보기에는 비효율적일 수도 있지만 정밀한 소수를 다뤄야 할 때에는 2진수와 10진수를 변환하면서 손실이 발생하는 것이 불가피하기 때문에 BCD를 사용하는 경우도 있다. 이걸 제대로 처리하지 못해서 발생한 문제가 2010년 문제이다.

이 코드를 확장한 IBM에서 만든 EBCDIC 코드도 존재하며 256가지의 문자를 표현할 수 있다.

10진법의 숫자 '2'는 2진법에서 '10'이 되며, 3진법에서는 3이 '10'이라는 것을 이용한 공대 개그가 있다. 위 내용을 해설하자면 우선 많은 일반인들은 ; 앞까지만 읽고 10진법으로 숫자를 인식해 열 종류의 사람이 있다는 것으로 이해했을 테지만, 문장을 끝까지 읽고 십진법이 아닌 10(2) = 2(10)종류의 사람(2진법을 이해한 사람 / 그렇지 못한 사람)을 말하는 것이었음을 깨닫는 것이다. 그리고 취소선이 쳐진 부분까지 읽고 나면 사실 10(2)가 아니라 10(3) = 3종류의 사람(2진법을 이해한 사람 / 그렇지 못한 사람 / 이게 3진법이었음을 예상 못 한 사람)을 말하는 것이었음을 알아차릴 수 있다. 사실 이대로만 가면 n진법까지 n종류의 사람이 있다고 할 수 있다.

2007 개정 교육 과정까지 중학교 1학년 1학기에 나오기도 했으며[5] 2009 개정 교육 과정부터 제외되었지만[6] 2015 개정 교육 과정부터 다시 추가되었다.

컴퓨터의 정보 처리에 이진수가 쓰인다는 점에 의거해, 뭔가 사이버스러운 작품에는 이진수가 도배되는 경우가 많다. 배경이 의미 없는 이진수 숫자로 채워져 있다든지, 0과 1만 적당히 치면 되니 만들기도 쉽다. 이거 하나로 미국 대중문화에 어마어마한 족적을 남긴 매체가 바로 매트릭스. 이후 검은 바탕에 초록색으로 0과 1이 쏟아지는 텔레타이프 화면은 그야말로 해커 영화의 상징 같은 장면이 되었다.

돌아다니는 마술 카드 중 0~2ⁿ-1 중에서 상대가 생각하는 숫자 맞추기 같은 거는 이걸 사용한 것이다.

8진법과 16진법은 2진법과 본질적으로 다를 게 없다. 2진법을 가독성 좋게 묶어버린 것일 뿐.... 이와 같이 생각하면 1048576(2²⁰)진법과 2진법도 완벽히 동일한 시스템에 구속되어 있다.

프로그래밍 언어 중에서 기계어가 이 이진법 숫자로만 되어 있다. 또한 프로그램 배포 시 '바이너리'라 하면 .exe와 같은 실행 파일을 뜻한다.

컴퓨터가 사용하는 언어다보니 공대생, 특히 컴공과 학생이라면 질리도록 사용하게 된다. 나중 가면 그냥 2진수로 써있는걸 보고 자연스럽게 10진수로 바로 읽을 정도가 된다. 물론 2진수와 10진수를 전환해가며 계산하는건 실용성은 없는 부분이고 그만큼 2진수가 익숙해진다는 의미이며, 컴퓨터가 할 수 있는 가장 빠른 연산 중 하나가 비트 연산이다보니 컴퓨터가 2진수를 어떻게 다루는지 정도는 컴공과라면 거의 필수적으로 숙련이 필요하다.

2001년 1월 1일에 태어난 사람의 주민등록번호 앞자리는 010101(21)이다.정지윤과 윈터가 대표적인 예이다. 한편 011111(31)인 사람은 이다현이다.

'악마의 계단 함수'라고 불리는 병리적 함수의 정의에도 2진법이 쓰인다.