Computer System Architecture - Data Representation

6. A decimal number has 25 digits. The number of bits needed for its equivalent binary representation is, approximately

  • Option : C
  • Explanation : The largest decimal number with 25 digits is 9,999,999,999,999,999,999,999,999. The smallest decimal number in the form 2n-1 which is greater than or equal to that is 19,342,813,113,834,066,795,298,815. That corresponds to 284-1. So, the minimum number of binary bits required to represent the decimal number 25 nines in a row is 84. This is 84 ones in a row. If you want to support negative as well as positive numbers, you will need 85.
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9.

How many fractional digits 2-48 will have?

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10. The 10's complement of (715)8 is

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