DIVISION METHOD:i. Divide the number by 2.ii. Put the reminder on rightside.iii. Keep dividing the quotienttill we get the quotient lessthan 2.iv. Record reminders frombottom to top to get theanswer.CONVERSION OF A DECIMAL NUMBER INTOBINARY NUMBERExample: (21)10Answer: (21)10 = (10101)2
Activity• Convert (31)10 into its binary equivalent.Answer should be (11111)2
Q. What is the place value 2 in(1259)10?Answer: The place value of 2 in(1259)10 is 2×100 = 2×102= 200.
EXPANSION METHOD:i. Multiply each digit withits place value.ii. Add these place values.iii. The sum is a decimalnumber.CONVERSION OF A BINARY NUMBER INTODECIMAL NUMBERExample: (11101)2=(1×24)+ (1×23)+(1×22)+(0×21)+(1×20)=(1×16)+ (1×8) +(1×4)+ (0×2)+(1×1)= 16 + 8 + 4 + 0 + 1= 29Answer: (11011)2 = (29)10
Activity• Convert (11011)2 into its decimalequivalent.Answer should be (27)10
Q. What digits are used inbinary number system?Answer: The binary numbersystem uses only 0 and 1.
Q. What is the base of binarynumber system?Answer: The base of binarynumber system is 2.
Q. Which method is used toconvert a decimal number intobinary numbers?Answer: To convert a decimalnumber into binary numberwe use Division method.
Q. Which method is used toconvert a binary numbers intodecimal number?Answer: To convert a binarynumber into decimal numberwe use Expansion method.
Home Work• Convert (63)10 into its binaryequivalent.• Convert (100110)2 into its decimalequivalent.
• Today we learned binary numbersystem• In next lesson we will learnaddition and subtraction inbinary number system