roblem $16$ pts

Choose all that apply. Some problems may have more than one correct answers.

a$.(1$ pt$)$ The minimum number of bits to represent the number $102410$ is

$1.9$

$2.10$

$3.11$

$4.12$

b$.(1$ pt$)$ Which of the following is$($are$)$ not invalid BCD$-8421$ codes?

$5.10001001$

$6.10011010$

$7.10111100$

$8.10011000$

c$.(1$ pt$)$ Which of the following are not valid $2-$of$-5$ codes?

$9.01100$

$10.10011$

$11.01110$

$12.10001$

d$.(1$ pt$)$ Which is the binary equivalent of the Gray code number $(10110111)$GC

$13.10100101$

$14.11011010$

$15.11011110$

$16.$ none of the above

e$.(1$ pt$)$ The decimal number $(57\mathrm{.}375)10$ when converted binary number takes the form of

$17.(111001\mathrm{.}011)2$

$18.(100111\mathrm{.}110)2$

$19.(110011\mathrm{.}101)2$

$20.(111011\mathrm{.}011)2$

f$.(1$ pt$)$ The primary use for Gray Code is

$21.$ to find the number of bit changes in the input number

$22.$ to count how many ones for the input number

$23.$ to facilitate the conversion of a number between two number systems

$24.$ none of the aboveDO NOT CHEA