#### Answer

a. 5
b. 9
c. 11
d. 6
e. 16
f. 18

#### Work Step by Step

a.
Step $1 :$ To convert the binary representations to its equivalent base ten
representations, multiply every bit of the binary representation to
the power of two from right to left, start at 2^0.
Step $2 :$ Represent the number in terms of its positions. $\left(0 * 2^{3}\right)+\left(1 * 2^{2}\right)+\left(0^{*} 2^{1}\right)+\left(1 * 2^{0}\right)$
Step $3 :$ (0 * 8) + (1 * 4) + (0 * 2) + (1 * 1) = 0 + 4 + 0 + 1 = 5
Therefore, $(0101)_{2}=(5)_{10}$
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to solve [ b, c, d, e, f ] do the previous steps :
b. the solution is: 9
c. the solution is: 11
d. the solution is: 6
e. the solution is: 16
f. the solution is: 18