Different Number Bases/system Archives

NUMBER BASES Number bases refer to ways of counting numbers. Counting started way back in the ancient times when began counting first, with his fingers. He counts in tens maybe because he has ten fingers and this is called decimal system of counting. There are different bases of counting, Different number bases/system Binary system Octal system Denary/decimal system Hexadecimal system Binary System The word BI means two, so binary combination means numbers made up of a combination of only two numbers. It is also refers to numbers in base 2. The available digits in binary system where 0 means off and 1 means ON. Octal System This is counting in eight i.e. base 8. It has 0,1,2,3,,4,5,6,7 digits. Denary/Decimal This is counting in tens. They are also called decimal system. The decimal system has the following digits 0,1,2,3,4,5,6,7,8,9 Hexadecimal System This system deals with numbers in base 16. It has the following digits 0,1,2,3,4,5,6,7,8,9,A,B,C,D.E,F (A10, B11, C12, D13, E14 and F15). CONVERSION FROM BASE TEN TO OTHER BASES To convert a number in decimal system to other bases, the method of continuous division of the number by the new base number is used. Convert 17ten to base 2 2 17 2 8 r 1 2 4 r 0 17ten 100012 2 2 r 0 2 1 r 0 0 r 1 Convert 58ten to base 2 2 58 2 29 r 0 2 14 r 1 2 7 r 0 58ten 1110102 2 3 r 1 2 1 r 1 0 r 1 Convert 248ten to octal 8 248 8 31 r 0 8 3 r 7 248ten 370eight 0 r 3 Convert 312ten to base 16 16 312 16 19 r 8 16 1 r 3 312ten 13816 0 r 1 Convert 935ten to hexadecimal 16 935 16 58 r 7 16 3 r A 935ten 3A716 0 r 3 EVALUATION Convert 25ten to binary Convert 174ten to octal Convert 381ten to hexadecimal Convert 19ten to binary