Question

Convert the decimal expansion of each of these integers to a binary expansion.

a.321
b.1023

Answer 1

`321=256+64+1=2^8+2^6+2^0\implies321_(10)=101000001_2`


`1023=1024-1=2^(10)-2^0\implies1023_(10)=10000000000_2-1_2=1111111111_2`