There are two ways to convert a decimal number to its equivalent binary representation 1. The reverse of the binary-to-decimal conversion process (optional). The decimal number is simply expressed as a sum of powers of 2 and then 1 2 and 0 2 are written in the appropriate bit positions. Example 1:-Convert 45 10 to binary number 45 10 Play this game to review Other. What are the only two numbers you can use in binary? DECIMAL TO OTHER 1. DECIMAL TO BINARY Decimal Number System to Other Base To convert Number system from Decimal Number System to Any Other Base is quite easy; you have to follow just two steps: A) Divide the Number (Decimal Number) by the base of target base system (in which you want to convert the number: Binary (2), octal (8) and Hexadecimal (16)). Number System Conversions. Develop skills converting between alternative number systems. This generator gives advanced students practice in converting between decimal and other number systems, especially those that are used by computers. Knowing how to read, interpret and convert between base ten and binary, octal and hexadecimal can give Number System Question with Solution Free PDF. As questions are based on previous year papers, there are chances that candidates will find many questions from the Number System Questions PDF in all competitive Exams. If you check the last 4-5 year's papers of SSC CGL any other competitive exams, you will find that many questions from Number Conversion of Fractions Starting at the binary point, group the binary digits that lie to the right into groups of three or four. 0.10111 2 = 0.101 110 = 0.56 8 0.10111 2 = 0.1011 1000 = 0.B8 16 Problems Convert the following Binary Octal Decimal Hex 10011010 2705 2705 3BC Binary Octal Decimal Hex 10011010 232 154 9A 10111000101 2705 1477 5C5 45) Convert decimal 20 to octal. 45) A) 16 8 B) 10 8 C) 18 8 D) 24 8 46) Convert binary 1111101 to octal. 46) A) 761 8 B) 275 8 C) 175 8 D) 95 8 47) How many unique numeric symbols are used in the decimal number system? 47) A) unlimited B) nine C) one D) ten 3 1.2 CONVERSION BETWEEN NUMBER SYSTEMS It is often required to convert a number in a particular number system to any other number system, e.g., it may be required to convert a decimal number to binary or octal or hexadecimal. The reverse is also true, i.e., a binary number may be converted into decimal and so on. 1.2.1 Decimal-to-binary Conversion Study of Binary, Decimal & Hexadecimal Number Systems will explain it all. Go ahead with the quiz and learn everything you need to know. Questions and Answers. 1. Convert the binary number 11001 to decimal. The answer is: A. 25. B. Number Systems Exercises Robin Hirsch Exercises 1. 1010 + 1101 2. 1011 + 111 3. 1111 1010 4. 1110 101 5. 1101 101 Exercises 13. Convert the binary number 1101101111110101 to hex. 14. Convert the hex number ABC7 to binary. 15. In hex, 2BFC + 54A7. 16. In hex, AC74 B3F. 17. If a number has k digits in hex, how many digits (bits) does it have in View IB11-CS-Practice-Number Systems.pdf from MATH 12460 at University of Notre Dame. IB11-Computer Science Practice worksheet on number conversions 1 State the binary equivalent of the following EXAMPLE EXERCISE 3.4 Metric-Metric Conversion We apply the unit factor 1 L/10 dL to cancel deciliters , and 1000 mL/1 L to cancel liters . The given value, 125 dL, limits the answer to three significant digits. Since each unit factor is der