There are many methods or techniques which can be used to convert numbers from one base to another. Divide binary number system conversion pdf decimal number to be converted by the value of the new base. Divide the quotient of the previous divide by the new base.

Repeat Steps 3 and 4, getting remainders from right to left, until the quotient becomes zero in Step 3. Sum the products calculated in Step 2. The total is the equivalent value in decimal. Convert the decimal number so obtained to the new base number. Convert each group of three binary digits to one octal digit.

Convert each group of four binary digits to one hexadecimal symbol. Numeral Systems of the World. However, systems related to binary numbers have appeared earlier in multiple cultures including ancient Egypt, China, and India. 9th century BC in China. 0 and broken lines as 1 or from top left to bottom right with solid lines as 1 and broken lines as 0 hexagrams can be interpreted as sequence from 0 to 63.

The base-2 system utilized in geomancy had long been widely applied in sub-Saharan Africa. Bells, by Trumpets, by Lights and Torches, by the report of Muskets, and any instruments of like nature”. Leibniz’s system uses 0 and 1, like the modern binary numeral system. Leibniz interpreted the hexagrams of the I Ching as evidence of binary calculus. China in 1685 as a missionary.