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Find binary to 7 base 1101101

Solution:
Your problem `->` binary to 7 base 1101101


(1101101)2 = (_______)7

First convert binary to decimal
(1101101)2 = (_______)10

`1101101`

` = 1 × 2^6 + 1 × 2^5 + 0 × 2^4 + 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 1 × 2^0`

`= 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1`

`= 109`


`:.` (1101101)2 = (109)10


Now convert decimal to base-7
(109)10 = (_______)7

7109 
7154
721
02


`:.` (109)10 = (214)7

`:.` (1101101)2 = (214)7







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