PHYS345 Electricity and Electronics

Hint for D9.4

One way to convert decimal to binary is to perform successive divisions by 2, checking for an odd or even number at each step. If odd, then record a 1 for the bit, and subtract one from the quotient. If even, then record a 0 for the bit. Continue dividing by 2 until the number become fractional.

For example:
  2001 odd 1 least significant digit
sub 1, div 2 1000 even 0
div 2 500 even 0
div 2 250 even 0
div 2 125 odd 1
sub 1, div 2 62 even 0
div 2 31 odd 1
sub 1, div 2 15 odd 1
sub 1, div 2 7 odd 1
sub 1, div 2 3 odd 1
sub 1, div 2 1 odd 1 most significant digit

Answer: 0111 1101 0001

Alternatively, convert 200010 first to hex, then that number (7D1H) to binary.


"http://www.physics.udel.edu/~watson/phys345/protected/exercises/hints/D9-4.html"
Last updated Oct. 22, 1998.
Copyright George Watson, Univ. of Delaware, 1998.