10진수 변환 퀴즈

10진수 25를 2진수로 변환하시오.

• 11001

• 10011

• 11100

• 10101

Answer explanation

To convert decimal 25 to binary, divide by 2 repeatedly and note remainders. 25/2=12 R1, 12/2=6 R0, 6/2=3 R0, 3/2=1 R1, 1/2=0 R1. Reading remainders in reverse order gives 11001.

2진수 1101을 10진수로 변환하시오.

• 16

• 15

• 14

• 13

Answer explanation

To convert binary 1101 to decimal, we use the formula: (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 13.

10진수 63을 8진수로 변환하시오.

• 77

• 72

• 61

• 55

Answer explanation

To convert 63 to octal, divide by 8 repeatedly: 63 ÷ 8 = 7 with a remainder of 7. So, the octal equivalent is 77.

8진수 75를 10진수로 변환하시오.

• 61

• 69

• 47

• 53

Answer explanation

To convert 8 octal to decimal, multiply each digit by 8 raised to the power of its position from right to left. In this case, (7*8^0) + (5*8^1) = 7 + 40 = 47. Therefore, 75 in octal is equal to 47 in decimal.

10진수 128를 16진수로 변환하시오.

• C0

• 64

• A0

• 80

Answer explanation

To convert 128 to hexadecimal, divide by 16: 128 ÷ 16 = 8 with a remainder of 0. The remainder 0 corresponds to 0 in hexadecimal, so the answer is 80.

16진수 1A를 10진수로 변환하시오.

• 15

• 20

• 30

• 26

Answer explanation

To convert 1A in hexadecimal to decimal, we multiply the first digit (1) by 16^1 and the second digit (A = 10) by 16^0. Therefore, 1*16 + 10*1 = 16 + 10 = 26.

10진수 42를 5진수로 변환하시오.

• 24

• 78

• 32

• 56

Answer explanation

To convert decimal 42 to base 5, divide 42 by 5 which gives a quotient of 8 and a remainder of 2. Continue dividing the quotient until it reaches 0. The remainders in reverse order give the base 5 representation, which is 32.

5진수 234를 10진수로 변환하시오.

• 235

• 233

• 230

• 234

Answer explanation

To convert 5진수 to 10진수, multiply each digit by 5 raised to the power of its position from right to left. In this case, 2*5^2 + 3*5^1 + 4*5^0 = 50 + 15 + 4 = 69, so the correct answer is 234.

10진수 99를 3진수로 변환하시오.

• 11000

• 10010

• 10101

• 11111

Answer explanation

To convert 99 to base 3, divide 99 by 3 repeatedly. The remainders in reverse order give the 3-digit representation: 99/3=33 R0, 33/3=11 R0, 11/3=3 R2, 3/3=1 R0, 1/3=0 R1. So, 99 in base 3 is 11000.

3진수 102를 10진수로 변환하시오.

• 10

• 110

• 11

• 100

Answer explanation

To convert 3진수 102 to 10진수, we use the formula: (1 * 3^2) + (0 * 3^1) + (2 * 3^0) = 11.