4.3 Converting with Base Systems
Moving a numeral from base 2, 5, or 12 into base 10 by place value, the repeated-division method for the reverse trip, and spotting errors.
15 exercises
4.3 Exercise 1
What are the digits used for base 7?
4.3 Exercise 3
What are the digits used for base 14?
4.3 Exercise 5
Convert 3,6017 into base 10.
4.3 Exercise 7
Convert 4B714 into base 10.
4.3 Exercise 9
Convert A1612 into base 10.
4.3 Exercise 11
Convert 10112 into base 10.
4.3 Exercise 13
Write the numbers in base 7 up to 1007.
4.3 Exercise 15
Write the numbers in base 14 up to 10014.
4.3 Exercise 17
Write the numbers in base 2 up to 1002.
4.3 Exercise 19
Convert 298 to base 6.
4.3 Exercise 21
Convert 45,134 to base 13.
4.3 Exercise 23
Convert 100 to base 2.
4.3 Exercise 27
A base 10 number is converted to base 7 and the result was 20817. Was an error committed? How do you know?
4.3 Exercise 29
When changing from base 10 to base 8, the division process resulted in the following remainders: 1, 0, 9, 2, 4. Was an error committed? How do you know?
4.3 Exercise 31
A five-digit base 10 number is converted to a base 5 number. The base 5 number has four digits. Was an error committed? How do you know?
Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.