The 21603 base seven and 77 base ten are number bases
- 21603 base seven represents 5442 in base ten
- 77 base ten represents 130 in base seven
How to rewrite the numbers
1. What base ten number does 21603 seven represent?
This is represented as:
[tex]21603_7[/tex]
To convert to base 10, we have:
[tex]21603_7 = 2 * 7^4 + 1 * 7^3 + 6 * 7^2 + 0 * 7^1 + 3 * 7^0[/tex]
Evaluate the sum and the exponents
[tex]21603_7 = 5442[/tex]
Hence, 21603 base seven represents 5442 in base ten
2. Express the number 77 ten in base number
This is represented as:
[tex]77_{10}[/tex]
To convert to a base number (say base 7), we have:
77/ 7 = 10 R 0
10/7 = 1 R 3
1/7 = 0 R 1
Hence, 77 base ten represents 130 in base seven
Read more about number bases at:
https://brainly.com/question/17546250
