시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 256 MB 10 4 3 75.000%

문제

지금은 쓰이지 않는 Gould의 부동소수점 방식을 차용하여 만든 어떤 소수를 IEEE 부동소수점 방식으로 가능한 한 정확히 변환하려 한다.

Gould의 부동소수점 방식은 아래와 같다.

1개의 Sign 비트와 7개의 지수부 비트, 24개의 가수부 비트로 이루어져 있으며, 이 비트들을 16진수로 나타낸다. 가수의 첫 세 비트까지 0이 될 수 있다.

위 방식으로 표현한 소수는 아래와 같은 값이 된다.

value = ((-1)S)((16)(EXP-64))(MANTISSA / (224))

EXP는 지수부, MANTISSA는 가수부를 의미한다.

이때, 0은 32개의 비트 0으로 이루어진다.

IEEE 부동소수점 방식은 아래와 같다.

1개의 Sign 비트, 8개의 지수부 비트, 24개의 가수부 비트로 이루어지며, 정규화된 수에서 가수부의 첫 비트는 항상 1이다. 이 항상 1인 하나의 비트는 가수부에 포함되지 않는다. 따라서 가수부는 23비트로 표현된다.

만일 지수 부분이 255가 아니고 0이 아닐 때 수는 정규화된 수이며, 아래와 같은 값을 가진다.

value = ((-1)S)((2)(EXP-127))(1 + (MANTISSA / (223)))

만일 지수 부분이 255이며 가수 부분이 0이라면, 이는 양의 무한대 또는 음의 무한대를 의미한다. 양과 음은 Sign 비트에 따라 결정된다.

만일 지수 부분이 255이며 가수 부분이 0이 아니라면, 이는 비정상적인 수이며 이 문제에서는 다루지 않을 것이다.

만일 지수 부분이 0이며 가수 부분이 0이라면, 이는 +0 또는 -0이다. (Sign 비트로 구분한다.)

만일 지수 부분이 0이며 가수 부분이 0이 아니라면, 이는 비정규 값이며 아래의 식에 따라 다르게 계산한다.

value = ((-1)S)((2)(-126))(MANTISSA / (223))

Gould의 방식으로 표현한 수가 주어진다. 이를 다음의 규칙에 따라 변환하여 출력한다.

  • 만일 그 값이 0이라면 출력은 +0
  • 만일 그 값이 정상적인 IEEE 부동소수점 방식으로 표현할 수 없을 만큼 클 경우, 양의 무한대 또는 음의 무한대. (Sign 비트로 구분)
  • 만일 그 값이 정상적인 IEEE 부동소수점 방식으로 표현할 수 없을 만큼 작을 경우 :
    • 만일 비정규 값일 경우, 비정규 식으로 계산한 결과값
    • 비정규 값이 아닐 경우, +0 또는 -0. (Sign 비트로 구분)
  • 다른 모든 경우에 대해서는 정규화된 IEEE 부동소수점 값 출력.

만일 IEEE 방식으로 표현했을 때 비트 수가 부족하다면 부족한 부분을 0으로 채운다.

만일 IEEE 방식으로 표현했을 때 비트 수가 남는다면 남는 부분을 제외한다.

입력

첫 줄에 테스트 케이스의 수 P가 주어진다. (1 ≤ P ≤ 1000)

각 테스트 케이스는 테스트 케이스의 번호와 Gould 방식의 부동소수점으로 표현한 수 하나가 16진수로 주어진다. 이 수는 0-9, A-F의 문자 8개로만 이루어져 있다.

출력

각 테스트 케이스마다, 테스트 케이스의 번호와 문제에서 설명한 방식대로 IEEE 방식으로 변환한 수를 16진수 8자리로 출력한다.

예제 입력 1

4
1 41200000
2 E0FFFFFE
3 E11FFFFF
4 88888888

예제 출력 1

1 40000000
2 FF7FFFFE
3 FF800000
4 80000000
[{"problem_id":"10433","problem_lang":"0","title":"\ubd80\ub3d9\uc18c\uc218\uc810 \ud615\uc2dd \ubcc0\ud658","description":"<p>\uc9c0\uae08\uc740 \uc4f0\uc774\uc9c0 \uc54a\ub294 Gould\uc758 \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc744 \ucc28\uc6a9\ud558\uc5ec \ub9cc\ub4e0 \uc5b4\ub5a4 \uc18c\uc218\ub97c IEEE \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc73c\ub85c \uac00\ub2a5\ud55c \ud55c \uc815\ud655\ud788 \ubcc0\ud658\ud558\ub824 \ud55c\ub2e4.<\/p>\r\n\r\n<p>Gould\uc758 \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc740 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<p><img src=\"https:\/\/www.acmicpc.net\/upload\/images2\/float1.png\" \/><\/p>\r\n\r\n<p>1\uac1c\uc758 Sign \ube44\ud2b8\uc640 7\uac1c\uc758 \uc9c0\uc218\ubd80 \ube44\ud2b8, 24\uac1c\uc758 \uac00\uc218\ubd80 \ube44\ud2b8\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uc774 \ube44\ud2b8\ub4e4\uc744 16\uc9c4\uc218\ub85c \ub098\ud0c0\ub0b8\ub2e4. \uac00\uc218\uc758 \uccab \uc138 \ube44\ud2b8\uae4c\uc9c0 0\uc774 \ub420 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc704 \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud55c \uc18c\uc218\ub294 \uc544\ub798\uc640 \uac19\uc740 \uac12\uc774 \ub41c\ub2e4.<\/p>\r\n\r\n<p><strong>value = ((-1)<sup>S<\/sup>)((16)<sup>(EXP-64)<\/sup>)(MANTISSA \/ (2<sup>24<\/sup>))<\/strong><\/p>\r\n\r\n<p>EXP\ub294 \uc9c0\uc218\ubd80, MANTISSA\ub294 \uac00\uc218\ubd80\ub97c \uc758\ubbf8\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub54c, 0\uc740 32\uac1c\uc758 \ube44\ud2b8 0\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>IEEE \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc740 \uc544\ub798\uc640 \uac19\ub2e4.<\/p>\r\n\r\n<p><img src=\"https:\/\/www.acmicpc.net\/upload\/images2\/float2.png\" \/><\/p>\r\n\r\n<p>1\uac1c\uc758 Sign \ube44\ud2b8, 8\uac1c\uc758 \uc9c0\uc218\ubd80 \ube44\ud2b8, 24\uac1c\uc758 \uac00\uc218\ubd80 \ube44\ud2b8\ub85c \uc774\ub8e8\uc5b4\uc9c0\uba70, \uc815\uaddc\ud654\ub41c \uc218\uc5d0\uc11c \uac00\uc218\ubd80\uc758 \uccab \ube44\ud2b8\ub294 \ud56d\uc0c1 1\uc774\ub2e4. \uc774 \ud56d\uc0c1 1\uc778 \ud558\ub098\uc758 \ube44\ud2b8\ub294 \uac00\uc218\ubd80\uc5d0 \ud3ec\ud568\ub418\uc9c0 \uc54a\ub294\ub2e4. \ub530\ub77c\uc11c \uac00\uc218\ubd80\ub294 23\ube44\ud2b8\ub85c \ud45c\ud604\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc77c \uc9c0\uc218 \ubd80\ubd84\uc774 255\uac00 \uc544\ub2c8\uace0 0\uc774 \uc544\ub2d0 \ub54c \uc218\ub294 \uc815\uaddc\ud654\ub41c \uc218\uc774\uba70, \uc544\ub798\uc640 \uac19\uc740 \uac12\uc744 \uac00\uc9c4\ub2e4.<\/p>\r\n\r\n<p><strong>value = ((-1)<sup>S<\/sup>)((2)<sup>(EXP-127)<\/sup>)(1 + (MANTISSA \/ (2<sup>23<\/sup>)))<\/strong><\/p>\r\n\r\n<p>\ub9cc\uc77c \uc9c0\uc218 \ubd80\ubd84\uc774 255\uc774\uba70 \uac00\uc218 \ubd80\ubd84\uc774 0\uc774\ub77c\uba74, \uc774\ub294 \uc591\uc758 \ubb34\ud55c\ub300 \ub610\ub294 \uc74c\uc758 \ubb34\ud55c\ub300\ub97c \uc758\ubbf8\ud55c\ub2e4. \uc591\uacfc \uc74c\uc740 Sign \ube44\ud2b8\uc5d0 \ub530\ub77c \uacb0\uc815\ub41c\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc77c \uc9c0\uc218 \ubd80\ubd84\uc774 255\uc774\uba70 \uac00\uc218 \ubd80\ubd84\uc774 0\uc774 \uc544\ub2c8\ub77c\uba74, \uc774\ub294 \ube44\uc815\uc0c1\uc801\uc778 \uc218\uc774\uba70 \uc774 \ubb38\uc81c\uc5d0\uc11c\ub294 \ub2e4\ub8e8\uc9c0 \uc54a\uc744 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc77c \uc9c0\uc218 \ubd80\ubd84\uc774 0\uc774\uba70 \uac00\uc218 \ubd80\ubd84\uc774 0\uc774\ub77c\uba74, \uc774\ub294 +0 \ub610\ub294 -0\uc774\ub2e4. (Sign \ube44\ud2b8\ub85c \uad6c\ubd84\ud55c\ub2e4.)<\/p>\r\n\r\n<p>\ub9cc\uc77c \uc9c0\uc218 \ubd80\ubd84\uc774 0\uc774\uba70 \uac00\uc218 \ubd80\ubd84\uc774 0\uc774 \uc544\ub2c8\ub77c\uba74, \uc774\ub294 \ube44\uc815\uaddc \uac12\uc774\uba70 \uc544\ub798\uc758 \uc2dd\uc5d0 \ub530\ub77c \ub2e4\ub974\uac8c \uacc4\uc0b0\ud55c\ub2e4.<\/p>\r\n\r\n<p><strong>value = ((-1)<sup>S<\/sup>)((2)<sup>(-126)<\/sup>)(MANTISSA \/ (2<sup>23<\/sup>))<\/strong><\/p>\r\n\r\n<p>Gould\uc758 \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud55c \uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub97c \ub2e4\uc74c\uc758 \uaddc\uce59\uc5d0 \ub530\ub77c \ubcc0\ud658\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ub9cc\uc77c \uadf8 \uac12\uc774 0\uc774\ub77c\uba74 \ucd9c\ub825\uc740 +0<\/li>\r\n\t<li>\ub9cc\uc77c \uadf8 \uac12\uc774 \uc815\uc0c1\uc801\uc778 IEEE \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc5c6\uc744 \ub9cc\ud07c \ud074 \uacbd\uc6b0, \uc591\uc758 \ubb34\ud55c\ub300 \ub610\ub294 \uc74c\uc758 \ubb34\ud55c\ub300. (Sign \ube44\ud2b8\ub85c \uad6c\ubd84)<\/li>\r\n\t<li>\ub9cc\uc77c \uadf8 \uac12\uc774 \uc815\uc0c1\uc801\uc778 IEEE \ubd80\ub3d9\uc18c\uc218\uc810 \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud560 \uc218 \uc5c6\uc744 \ub9cc\ud07c \uc791\uc744 \uacbd\uc6b0 :\r\n\t<ul>\r\n\t\t<li>\ub9cc\uc77c \ube44\uc815\uaddc \uac12\uc77c \uacbd\uc6b0, \ube44\uc815\uaddc \uc2dd\uc73c\ub85c \uacc4\uc0b0\ud55c \uacb0\uacfc\uac12<\/li>\r\n\t\t<li>\ube44\uc815\uaddc \uac12\uc774 \uc544\ub2d0 \uacbd\uc6b0, +0 \ub610\ub294 -0. (Sign \ube44\ud2b8\ub85c \uad6c\ubd84)<\/li>\r\n\t<\/ul>\r\n\t<\/li>\r\n\t<li>\ub2e4\ub978 \ubaa8\ub4e0 \uacbd\uc6b0\uc5d0 \ub300\ud574\uc11c\ub294 \uc815\uaddc\ud654\ub41c IEEE \ubd80\ub3d9\uc18c\uc218\uc810 \uac12 \ucd9c\ub825.<\/li>\r\n<\/ul>\r\n\r\n<p>\ub9cc\uc77c IEEE \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud588\uc744 \ub54c \ube44\ud2b8 \uc218\uac00 \ubd80\uc871\ud558\ub2e4\uba74 \ubd80\uc871\ud55c \ubd80\ubd84\uc744 0\uc73c\ub85c \ucc44\uc6b4\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc77c IEEE \ubc29\uc2dd\uc73c\ub85c \ud45c\ud604\ud588\uc744 \ub54c \ube44\ud2b8 \uc218\uac00 \ub0a8\ub294\ub2e4\uba74 \ub0a8\ub294 \ubd80\ubd84\uc744 \uc81c\uc678\ud55c\ub2e4.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 P\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; P &le; 1000)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\uc640 Gould \ubc29\uc2dd\uc758 \ubd80\ub3d9\uc18c\uc218\uc810\uc73c\ub85c \ud45c\ud604\ud55c \uc218 \ud558\ub098\uac00 16\uc9c4\uc218\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc218\ub294 0-9, A-F\uc758 \ubb38\uc790 8\uac1c\ub85c\ub9cc \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\uc640 \ubb38\uc81c\uc5d0\uc11c \uc124\uba85\ud55c \ubc29\uc2dd\ub300\ub85c IEEE \ubc29\uc2dd\uc73c\ub85c \ubcc0\ud658\ud55c \uc218\ub97c 16\uc9c4\uc218 8\uc790\ub9ac\ub85c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"10433","problem_lang":"1","title":"Floating-Point Format Conversion","description":"<p>To help support a patent defense, we need to recover some experimental data that was stored as single precision floating point on a now-defunct Gould Power-Node mini-computer. The Gould used a base 16 floating-point format. We want to convert Gould floating point values, as much as possible, to single precision IEEE floating-point values.<\/p>\r\n\r\n<p>The Gould internal floating-point format has 1 sign bit, S, a 7-bit offset (base 16) exponent field, E, and a 24-bit (6 hex digits) hexadecimal mantissa. (Note that this means that up to 3 high bits of the mantissa may be zero.)<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images2\/float1.png\" style=\"height:66px; width:752px\" \/><\/p>\r\n\r\n<p style=\"text-align:center\">value = ((-1)<sup>S<\/sup>)((16)<sup>(EXP-64)<\/sup>)(MANTISSA \/ (2<sup>24<\/sup>))<\/p>\r\n\r\n<p>Floating-point zero is represented by 32 bits of 0.<\/p>\r\n\r\n<p>The IEEE format has 1 sign bit, S, an 8-bit offset (base 2) exponent field, E, and a 24-bit mantissa, for which the high bit is (in normalized numbers) always 1 and not part of the 23 bits in the format.<\/p>\r\n\r\n<p style=\"text-align:center\"><img alt=\"\" src=\"\/upload\/images2\/float2.png\" style=\"height:67px; width:747px\" \/><\/p>\r\n\r\n<p>If the exponent is not 255 and not 0, the value is a normalized floating point number,<\/p>\r\n\r\n<p style=\"text-align:center\">value = ((-1)<sup>S<\/sup>)((2)<sup>(EXP-127)<\/sup>)(1 + (MANTISSA \/ (2<sup>23<\/sup>)))<\/p>\r\n\r\n<p>If the exponent is 255 and the mantissa is 0, the value is plus or minus infinity (depending on the sign bit). If the exponent is 255 and the mantissa is not 0, it indicates special values that will not be used in this problem.<\/p>\r\n\r\n<p>If the exponent is 0 and the mantissa is zero, the value is plus or minus zero (depending on the sign bit).<\/p>\r\n\r\n<p>If the exponent is 0 and the mantissa is not zero, the value is a de-normalized floating-point number with:<\/p>\r\n\r\n<p style=\"text-align:center\">value = ((-1)<sup>S<\/sup>)((2)<sup>(-126)<\/sup>)(MANTISSA \/ (2<sup>23<\/sup>))<\/p>\r\n\r\n<p>Write a program that takes as input a floating-point value in Gould format and outputs the value in IEEE format as follows:<\/p>\r\n\r\n<p>If the value is zero return (plus) zero.<\/p>\r\n\r\n<p>If the value is too large to be represented as a normalized floating-point value, return plus or minus infinity depending on the sign.<\/p>\r\n\r\n<p>If the value is too small to be represented as a normalized floating-point value:<\/p>\r\n\r\n<ul>\r\n\t<li>If it may be represented as a de-normalized value, return the de-normalized value.<\/li>\r\n\t<li>Otherwise, return plus or minus zero, depending on the sign.<\/li>\r\n<\/ul>\r\n\r\n<p>In all other cases, return the normalized value.<\/p>\r\n\r\n<p>If there are less significant bits than required for IEEE floating-point, extend with 0 bits.<\/p>\r\n\r\n<p>If there are more significant bits than required for IEEE floating-point, truncate the extra bits.<\/p>\r\n","input":"<p>The first line of input contains a single integer P, (1 &le; P &le; 1000), which is the number of data sets that follow. Each data set should be processed identically and independently.<\/p>\r\n\r\n<p>Each data set consists of a single line of input. It contains the data set number, K, followed by 8 hex digits (0-9, A-f) of the Gould floating-point value.<\/p>\r\n","output":"<p>For each data set there is one line of output. The single output line consists of the data set number, K, followed by a single space followed by the 8 hex digits (0-9, A-f) of the corresponding (as described above) IEEE floating point value.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]