## NUMBER BASES

NUMBER BASES /BASE NUMBER See also BASIC OPERATIONS OF INTEGER SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS QUADRATIC EQUATIONS

NUMBER BASES /BASE NUMBER See also BASIC OPERATIONS OF INTEGER SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS SIMULTANEOUS EQUATIONS QUADRATIC EQUATIONS

CONVERSION OF OTHER BASES TO DENARY SYSTEM Conversion of other bases to denary system. To convert numbers in the other bases to denary system, expand the given number in power of its bases. Examples: Convert 35416 to denary 35416 = 3 x 162 + 5 X 161 + 4 x 160 = 3 x 256 + 5 x 16 + 4 x 1 = 768 + 80 + 4 852ten Convert 255eight to base ten 2558 = 2 x 82 + 5 x 81 + 5 x 80 = 2 x 64 + 5 x 8 + 5 x 1 = 128 + 40 + 5 = 173ten Convert 10110012 to base ten 1011001two = 1 x 26 + 0 x 25 + 1 x 24 + 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 1 x 64 + 0 x… Read More »CONVERSION OF OTHER BASES TO DENARY SYSTEM

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… Read More »NUMBER BASES

NUMBER BASES CONVERSION OF OTHER BASED TO DECIMAL SYSTEM To convert numbers in other bases to denary system, expand the given number in powers of its base and evaluate. Examples 1) Convert the following numbers to base ten (i) 10012 (ii) 255eight (iii) 35416 (i) 10012 = 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20 = 1 x 8 + 0 x 4 + 0 x 2 + 1 x 1 = 8 + 0 + 0 + 1 = 9ten (ii) 255eight = 2 x 82 + 5 x 81 + 5 x 80 = 2 x 64 + 5 x 8 + 5 x 1 = 128 + 40 + 5 = 173ten (iii) 35416 = 3 x 162 + 5 x 161 + 4 x 160 = 3 x 256 + 5 x 16 + 4 x 1 = 768… Read More »NUMBER BASES

Number Bases Number Bases – Binary Number System, Octal Number System, Denary Number System (Decimal) and Hexadecimal Number system.