Labels:text | screenshot | font | document OCR: (Solution to problem continued.) This means that 1/5 = 1/23 + 1/24 + (1/24)(1/5). Since the fraction 1/5 has recurred, multiplied by 1/24, we see that the first four digits we have found to the right of the binary "decimal point," 0.0011, will repeat continuously. In other words, 0.2ten = 0.001 1two. (A quicker but less intuitive approach to finding this representation is to express 1/5 as the binary fraction 1/101 and then divide 101 into 1, using binary arithmetic.) The reader can use the method of part (b) to show that the decimal fractions 0.1, 0.3, 0.4, 0.6, 0.7, 0.8, 0.9 also have infinely repeating binary representations.
