<prompt> Convert the following number in decimal to binary base-2.67  <response>: The decimal number 67 can be converted to binary base-2 as follows: - 67 divided by 2 gives a quotient of 33 and a remainder of 1. - 33 divided by 2 gives a quotient of 16 and a remainder of 1.- 16 divided by 2 gives a quotient of 8 and a remainder of 0.- 8 divided by 2 gives a quotient of 4 and a remainder of 0.- 4 divided by 2 gives a quotient of 2 and a remainder of 0.- 2 divided by 2 gives a quotient of 1 and a remainder of 0.- 1 divided by 2 gives a quotient of 0 and a remainder of 1.So, the binary representation of 67 is obtained by reading the remainder from bottom to top: 1000011. 