Final answer:
To convert decimal numbers to binary, divide by 2 and record the remainders. To convert binary numbers to decimal, multiply each bit by the corresponding power of 2 and sum the results.
Step-by-step explanation:
To convert decimal numbers to binary, we can use the method of division by 2. We repeatedly divide the decimal number by 2 and record the remainder. The binary number is then formed by reading the remainders in reverse order. Here are the binary conversions for the given decimal numbers:
- 34 = 100010
- 63 = 111111
- 99 = 1100011
- 108 = 1101100
- 203 = 11001011
To convert binary numbers to decimal, we need to multiply each bit (0 or 1) by the corresponding power of 2 and sum the results. Here are the decimal conversions for the given binary numbers:
- 11011001 = 217
- 01010101 = 85
- 00110011 = 51
- 11100011 = 227
- 11000110 = 198