Which of the following State Variable binary code transitions below are the only that make complete sense for implementing and using in the above mentioned state machine where the ungrounded segments are programmed utilizing a $22$v$10$ to be direct connected to the $15$ segment display mentioned below$$ which recall is clocked at $1$ Hz$,$ to display the two words dATE and dEAT as stipulated with :

$$ Using case sensitive letters, one at a time, changing to the next letter once every second, and then repeats.

$$ Based on a Switch setting, dATE is to be displayed when S$=0$ and dEAT should be displayed when S$=1.$

Remember these binary codes would be developed from a truth table of the remaining segments when using the $15$ segment display$($particularly the Kingbright ACPSC$04-41$CGKWA part, and assuming the pin arrangement connected alphabetically as ONLY needed and discussed in class$).$

Question options:

$011000$ to $111011$ to $101001$ to $101010$ for when S$=0$ and$$

$011000$ to $101010$ to $111011$ to $101001$ for when S$=1.$

$101011$ to $100010$ to $010111$ to $011010$ for when S$=0$ and$$

$101011$ to $011010$ to $100010$ to $010111$ for when S$=1.$

$63$h to A$4$h to B$9$h to EDh for when S$=0$ and$$

$52$h to B$9$h to A$4$h to EDh for when S$=1.$

$1100010$ to $101000$ to $101011$ to $100011$ for when S$=0$ and$$

$1011110$ to $111011$ to $100110$ to $111111$ for when S$=1.$

none of these binary pattern transitions codes work or could be used for the shared and unshared segments which are not grounded

$011100$ to $110110$ to $100001$ to $101110$ for when S$=0$ and$$

$011100$ to $101110$ to $110110$ to $100001$ for when S$=1.$

$011022$ to $211021$ to $102001$ to $100210$ for when S$=0$ and$$

$011022$ to $201010$ to $112011$ to $101201$ for when S$=1.$

$001001$ to $101110$ to $111101$ to $111000$ for when S$=0$ and$$

$001001$ to $111000$ to $101110$ to $111101$ for when S$=1.$

$011110$ to $101100$ to $001101$ to $100011$ for when S$=0$ and$$

$011110$ to $100011$ to $101100$ to $001101$ for when S$=1.$

$1111010$ to $100000$ to $101111$ to $110001$ for when S$=0$ and$$

$1111010$ to $110001$ to $100000$ to $101111$ for when S$=1.$

$1101$ to $1110$ to $1010$ to $00100$ for when S$=0$ and$$

$1101$ to $00100$ to $1110$ to $1010$ for when S$=1.$

$11110$ to $11111$ to $01001$ to $11011$ for when S$=0$ and$$

$11110$ to $11011$ to $11111$ to $01001$ for when S$=1.$

$110100$ to $111000$ to $011111$ to $110111$ for when S$=0$ and$$

$110100$ to $110111$ to $111000$ to $011111$ for when S$=1.$