Answer :
Final answer:
Converting decimal to binary involves dividing the number by 2 and recording the remainder until the quotient is zero, and reading the remainders in reverse. To convert binary to decimal, multiply each binary digit by 2 to the power of its position and add the results together. Examples are provided for both conversions.
Explanation:
Converting decimal numbers to binary involves dividing the number by 2 and recording the remainder until the division results in a quotient of zero. The binary number is then read as the remainders in reverse order of how they were obtained. Converting binary numbers to decimal, on the other hand, requires multiplying each digit of the binary number by 2 raised to the power of its position number, starting from zero, and adding all the results together.
- 137 in binary: 10001001
- 175 in binary: 10101111
- 199 in binary: 11000111
- 213 in binary: 11010101
- 250 in binary: 11111010
- 324 in binary: 101000100
- 543 in binary: 1000011111
- 567 in binary: 100011011
- 1010101₂ in decimal: 85
- 10100001₂ in decimal: 161
- 11111010₂ in decimal: 250
- 10111111₂ in decimal: 191
- 1111101011₂ in decimal: 1019
- 1110010101₂ in decimal: 933
- 10001000111₂ in decimal: 1095
- 1100110011001₂ in decimal: 13161
