NatNum TransSystem

자연수 u 가 $a_{n}a_{n-1}\cdots a_{1}a_{0}$로 표현되고 자연수 v가 $b_{m}b_{m-1}\cdots b_{1}b_{0}$ 로 표현된다고 하자. 그리고 $n<m$ 라고 가정하자. 이를 다항으로 풀어써보면 ${\begin{matrix}u&=&\ &a_{n}*10^{n}+a_{n-1}*10^{n-1}+\cdots +a_{1}*10^{1}+a_{0}*10^{0}\\v&=&b_{m}*10^{m}+b_{m-1}*10^{m-1}+\cdots +&b_{n}*10^{n}+b_{n-1}*10^{n-1}+\cdots +b_{1}*10^{1}+b_{0}*10^{0}\end{matrix}}$ 이다.

관련 문제

진법. 산술적 연산. 지은이 쉐스따꼬프(А.П. Шестаков, 1994-2001)

1. 주어진 십진법의 수를 이진법, 8진법, 16진법으로 바꾸시오.
2. 주어진 수를 10진법으로 바꾸시오.
3. 수를 더하시오.
4. 빼시오.
5. 곱하시오.

• 유형 1

1. a ) 666(10); b ) 305(10); c ) 153,25(10); d ) 162,25(10); e ) 248,46(10)

2. a ) 1100111011(2); b ) 10000000111(2); c ) 10110101,1(2); d ) 100000110,10101(2); e ) 671,24(8); f ) 41A,6(16).

3. a ) 10000011(2)+1000011(2); b ) 1010010000(2)+1101111011(2); c ) 110010,101(2)+1011010011,01(2); d ) 356,5(8)+1757,04(8); e ) 293,8(16)+3CC,98(16).

4. a ) 100111001(2)-110110(2); b ) 1111001110(2)-111011010(2); c ) 1101111011,01(2)-101000010,0111(2); d ) 2025,2(8)-131,2(8); e ) 2D8,4(16)-A3,B(16).

5. a ) 1100110(2)´ 1011010(2); b ) 2001,6(8)´ 125,2(8); c ) 2C,4(16)´ 12,98(16).

• 유형 2

1. a ) 164(10); b ) 255(10); c ) 712,25(10); d ) 670,25(10); e ) 11,89(10)

2. a ) 1001110011(2); b ) 1001000(2); c ) 1111100111,01(2); d ) 1010001100,101101(2); e ) 413,41(8); f ) 118,8C(16).

3. a ) 1100001100(2)+1100011001(2); b ) 110010001(2)+1001101(2);c ) 111111111,001(2)+1111111110,0101(2); d ) 1443,1(8)+242,44(8); e ) 2B4,C(16)+EA,4(16).

4. a ) 1001101100(2)-1000010111(2); b ) 1010001000(2)-1000110001(2); c ) 1101100110,01(2)-111000010,1011(2); d ) 1567,3(8)-1125,5(8); e ) 416,3(16)-255,3(16).

5. a ) 100001(2)´ 1001010(2); b ) 1723,2(8)´ 15,2(8); c ) 54,3(16)´ 9,6(16).

• 유형 3

1. a ) 273(10); b ) 661(10); c ) 156,25(10); d ) 797,5(10); e ) 53,74(10)

2. a ) 1100000000(2); b ) 1101011111(2); c ) 1011001101,00011(2); d ) 1011110100,011(2); e ) 1017,2(8); f ) 111,B(16).

3. a ) 1110001000(2)+110100100(2); b ) 1001001101(2)+1111000(2); c ) 111100010,0101(2)+1111111,01(2); d ) 573,04(8)+1577,2(8); e ) 108,8(16)+21B,9(16).

4. a ) 1010111001(2)-1010001011(2); b ) 1110101011(2)-100111000(2); c ) 1110111000,011(2)-111001101,001(2); d ) 1300,3(8)-464,2(8); e ) 37C,4(16)-1D0,2(16).

5. a ) 1011010(2)´ 1000010(2); b ) 632,2(8)´ 141,34(8); c )2A,7(16)´ 18,8(16).

• 유형 4

1. a ) 105(10); b ) 358(10); c ) 377,5(10); d ) 247,25(10); e ) 87,27(10)

2. a ) 1100001001(2); b ) 1100100101(2); c ) 1111110110,01(2); d ) 11001100,011(2); e ) 112,04(8); f ) 334,A(16).

3. a ) 101000011(2)+110101010(2); b ) 111010010(2)+1011011110(2); c ) 10011011,011(2)+1111100001,0011(2); d ) 1364,44(8)+1040,2(8); e ) 158,A(16)+34,C(16).

4. a ) 1111111000(2)-100010011(2); b ) 1111101110(2)-11100110(2); c ) 1001100100,01(2)-10101001,1(2);d ); 1405,3(8)-346,5(8); e ) 3DD,4(16)-303,A(16).

5. a ) 1011100(2)´ 1100100(2); b ) 347,2(8)´ 125,64(8); c ) 10,A8(16)´ 35,4(16).

• 유형 5

1. a ) 500(10); b )) 675(10); c ) 810,25(10); d ) 1017,25(10); e ) 123,72(10)

2. a ) 1101010001(2); b ) 100011100(2); c ) 1101110001,011011(2); d ) 110011000,111001(2); e ) 1347,17(8); f ) 155,6C(16).

3. a ) 1000101101(2)+1100000010(2); b ) 1111011010(2)+111001100(2); c ) 1001000011,1(2)+10001101,101(2); d ) 415,24(8)+1345,04(8); e ) 113,B(16)+65,8(16).

4. a ) 1101111100(2)-100100010(2); b ) 1011010110(2)-1011001110(2); c ) 1111011110,1101(2)-1001110111,1(2); d ) 1333,2(8)-643,2(8); e ) 176,7(16)-E5,4(16).

5. a ) 1101100(2)´ 1010011(2); b ) 516,54(8)´ 44,64(8); c ) 61,8(16)´ 48,9(16).

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