Number Conversions Flashcards

To convert binary to denary, multiply each binary digit by 2 raised to its position index (starting from 0 on the right) and sum the results.

To convert denary to binary, repeatedly divide the number by 2, recording the remainders, and read the remainders in reverse order.

Group the binary digits into sets of 4 (starting from the right), convert each group to its hexadecimal equivalent.

Convert each hexadecimal digit into its 4-bit binary equivalent.

Divide the denary number by 16 repeatedly, recording the remainders. Convert the remainders to hexadecimal digits and read them in reverse order.

Multiply each hexadecimal digit by 16 raised to its position index (starting from 0 on the right) and sum the results.

Add binary numbers column by column. If the sum in a column is 2 or more, carry over to the next column.

Occurs when the result of a binary addition exceeds the number of bits available to store it.

Shifting binary digits left multiplies the number by 2 for each shift.

Shifting binary digits right divides the number by 2 for each shift.