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