Conversation one number system to other. Make nand gate using Mux.

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Convert number system by dividing by base and taking remainders. Use 2:1 Mux to implement NAND gate.

To convert from one number system to another, divide by the base of the original system and take remainders.
For example, to convert decimal 10 to binary, repeatedly divide by 2 and take remainders: 10/2=5 R0, 5/2=2 R1, 2/2=1 R0, 1/2=0 R1. So, 10 in decimal is 1010 in binary.
To implement a NAND gate using a 2:1 Mux, connect one input to the select line and the other input to the data line. Connect the output of the Mux to the input of an inverter to get the NAND gate output.