Write 17 x 4^4 with respect to base 4

  • Context: MHB 
  • Thread starter Thread starter ketanco
  • Start date Start date
  • Tags Tags
    Base
Click For Summary
SUMMARY

The discussion focuses on converting the expression 17 x 4^4 into base 4. The correct approach involves dividing 17 by 4 twice, resulting in the base 4 representation of 101. Additionally, the expression can be expressed as 1 x 4^6 + 1 x 4^4. The participants confirm that while this method is correct, it may not yield the expected final answer, as 4^4 equals 10000 in base 4 and 4^6 equals 1000000.

PREREQUISITES
  • Understanding of base conversion, specifically base 4.
  • Familiarity with exponentiation in the context of bases.
  • Knowledge of how to represent numbers in different numeral systems.
  • Basic arithmetic operations involving division and multiplication.
NEXT STEPS
  • Research base conversion techniques, focusing on converting decimal to base 4.
  • Learn about exponentiation rules in different bases, particularly base 4.
  • Explore the implications of representing large numbers in various numeral systems.
  • Study the significance of positional notation in base systems.
USEFUL FOR

Mathematicians, educators, students learning numeral systems, and anyone interested in base conversion techniques.

ketanco
Messages
15
Reaction score
0
how can i write 17 x 4^4 with respect to base 4?

here is what i did:
i divide 17 by 4 twice and get 101 on base 4, and then say 1 x 4^6 + 1 x 4 ^ 4

is it correct?
 
Mathematics news on Phys.org
ketanco said:
how can i write 17 x 4^4 with respect to base 4?

here is what i did:
i divide 17 by 4 twice and get 101 on base 4, and then say 1 x 4^6 + 1 x 4 ^ 4

is it correct?
It is correct as far as at goes, but I think that it is not yet the answer that is expected.

In base 4, $4^4$ is $10000$; and $4^6$ is $1000000$.
 

Similar threads

Replies
1
Views
995
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 57 ·
2
Replies
57
Views
6K
  • · Replies 2 ·
Replies
2
Views
1K