Question

Convert the following from decimal to binary:

255
Convert the following from binary to decimal:
11101000
Convert the following to hexadecimal:
10101010

Answer 1

To convert decimal to binary, divide by 2 repeatedly. To convert binary to decimal, multiply each digit by the appropriate power of 2 and add the results. To convert binary to hexadecimal, group binary digits into sets of 4 and convert each group to its equivalent hexadecimal digit.

Step-by-step explanation:

To convert a decimal number to binary, divide the decimal number by 2 repeatedly until the quotient becomes 0. The remainders, read from bottom to top, form the binary representation. For example, 255 in decimal is 11111111 in binary.

To convert a binary number to decimal, multiply each digit of the binary number by the corresponding power of 2 and then add all the results. For example, 11101000 in binary is 232 in decimal.

To convert a binary number to hexadecimal, divide the binary number into groups of 4 digits. Each group is then converted to its equivalent hexadecimal digit. For example, 10101010 in binary is AA in hexadecimal.