Given MUX = 2 x 1
Required MUX = 2^10 x 1 = 1024 x 1
Now, there is a shortcut technique to find out the the number of MUX required which is,
No. of MUX = Required input / Given input
Now, required input to the MUX is 1024 and given input to the MUX is 2. We will have to keep on dividing required input with given input i.e 1024 / 2 = 512
512 / 2 = 256
256 / 2 = 128
128 / 2 = 64
64 / 2 = 32
32 / 2 = 16
16 / 2 = 8
8 / 2 = 4
4 / 2 = 2
2 / 2 = 1
Now, we have to add up all the results i.e (512+256+128+64+32+16+8+4+2+1) = 1023
Hence, the no. of MUX required is 1023