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close this bookDigital Teaching Aid (DED Philippinen, 86 p.)
close this folderFundamental Logic Operations - Lesson 1
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View the documentHandout No. 1
View the documentWorksheet No. 1

Worksheet No. 1

Binary number system

All number systems have a base, which specifies how many digits can be used in each place count. For binary numbers the base is 2, with 0 and 1 as the only two digits. In the decimal system, the base is 10.

Decimal digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Binary digits: 0, 1

Decimal to Binary Conversion


EX: Convert a 4 bit binary number (100 1) into decimal.

Each digit position has specified weight, for binary numbers the position represents a power of two.


EX: Convert a 8 bit number (10010101) into decimal

HO: Convert the following binary numbers into decimal:

101, 1100, 1110, 1000, 0110, 11001010, 01101111, 10001100

Binary to decimal conversion


EX: Convert the decimal number 138 into a binary number

HO: Convert the following decimal numbers into binary numbers:

12, 8, 127, 247, 139, 255