'Applications': How to write 1101101 in decimal form?

[Gooblin]

Computer scientists often use binary (base 2) notation to represent numbers. The following is an example.

. . .binary: 10110

. . .2^4 place: 1
. . .2^3 place: 0
. . .2^2 place: 1
. . .2^1 place: 1
. . .2^0 = 1 place: 0

Then:

. . .10110 = (1 x 2^4) + (0 x 2^4) + (1 x 2^2) + (1 x 2^1) + (0 x 1)

. . .= 16 + 0 + 4 + 2 + 0

. . .= 22

If you were a systems engineer at Hewletter Parckard, how would you write 1101101 in decimal form?

The answer is 109 but I don't know how it got that answer and need some help.

 

[Denis]

http://www.dotlessbraille.org/numbersystems.htm

 

[skeeter]

If you were a systems engineer at Hewletter Parckard, how would you write 1101101 in decimal form?

1*2⁶ + 1*2⁵ + 0*2⁴ + 1*2³ + 1*2² + 0*2¹ + 1*2⁰ =

64 + 32 + 0 + 8 + 4 + 0 + 1 = 109