Convert 241 in base seven to decimal form by expanding the powers

1 Answer

justaguide's profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

A number with a base 7 has each digit multipled by a corresponding power of 7.

241 in base 7 is equal to 1*7^0 + 4*7^1 + 2*7^2

= 1 + 28 + 98

= 127

The number 241 in base 7 is equal to 127 in decimal form.