Binary Arithmetic
Decimal to Binary
Perform repeated division, making note of the remainder at each stage. Keep
dividing until you are dividing one by two.
10 / 2 = 5 remainder 0
5 / 2 = 2 remainder 1
2 / 2 = 1 remainder 0
1 / 2 = 0 remainder 1
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10ten = 1010two
The number in binary will be the result of stringing together all the
remainders in reverse order.
Alternate Equivalent Method
"Guess" which powers of two are added together to form the number.
10ten = 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20ten = 1010two
Decimal to Hexadecimal
Convert to binary, then convert binary to hexadecimal.
CSE 378 Spring 2002 - Section 1