Convert the following number in the indicated base. 6701 to base 15

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter86: Bcd (binary Coded Decimal) Numeration Systems
Section: Chapter Questions
Problem 45A
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Convert the following number in the indicated base. 6701 to base 15
Convert the following number to a number in the indicated base.
6701 to base 15
6701= 15
Copyright & 2022 Pearson Education In. ll
Transcribed Image Text:Convert the following number to a number in the indicated base. 6701 to base 15 6701= 15 Copyright & 2022 Pearson Education In. ll
Expert Solution
Step 1

Divide the number repeatedly by 15 until the quotient becomes 0.

  • When 6701 is divided by 15, the quotient is 446 and the remainder is 11 = B.
  • When 446 is divided by 15, the quotient is 29 and the remainder is 11 = B.
  • When 29 is divided by 15, the quotient is 1 and the remainder is 14 = E.
  • When 1 is divided by 15, the quotient is 0 and the remainder is 1.

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