Question 1160827
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Here is a short algorithm for converting from another base to base 10:<br>
(1) start with the first (leftmost) digit
(2) multiply by the base and add the next digit
(3) repeat step (2) until all digits have been used<br>
A: 134 base 5 to base 10:<br>
1*5 = 5; 5+3 = 8
8*5 = 40; 40+4 = 44<br>
B: 11110 base 2 to base 5:<br>
1*2 = 2; 2+1 = 3
3*2 = 6; 6+1 = 7
7*2 = 14; 14+1 = 15
15*2 = 30; 30+0 = 30<br>
C: 83B base 12 to base 10 (in bases greater than 10, the digits after 9 are A, B, C, ....  Use A and B instead of T and E for "digits" 10 and 11):<br>
8*12 = 96; 96+3 = 99
99*12 = 1188; 1188+11 = 1199<br>