NUMBER SYSTEM CONTINUED Do you know Do you

NUMBER SYSTEM CONTINUED….

Do you know?

Do you know?

Do you know?

OCTAL NUMBER SYSTEM The octal number system has 8 digits i. e. 0, 1, 2, 3, 4, 5, 6, 7. each number written in octal number system will have valid digits from 0 -7 only. The base of octal number system is 8. Examples of octal number – 1032678, 6677238. Unlike binary number system the base of octal number is 8.

Steps to Convert decimal number to octal number. Step 1: Divide the given decimal number by base i. e. 8 Step 2: write down the remainder and again divide the quotient by 8. Step 3: Repeat step 2 till the quotient equals to 0. Step 4: write all the remainders starting from the bottom.

Conversion of decimal number to octal number

Convert 569 to octal We have to divide the decimal number repeatedly by 8 till we get the quotient as 0. Collect all the remainders from bottom to top at indicated by the arrow. As we did in binary to decimal.

Steps to convert octal number to decimal Step 1: Multiply each digit with is positional place value Step 2: Add all the calculation POSITIONAL VALUE OF EACH DIGIT 85 84 32768 4096 83 82 81 80 512 64 8 1

Convert octal to decimal. We need to multiply each digit with its positional value. First digit on right has a positional value of 80 which is equal to 1. the next digit is 81 which is equal to 8 and similarly as we move towards the left the power increases by 1.

Class work Q 1. convert the following numbers from decimal to octal. i. 213 ii. 78 iii. 123 Q 2. convert the following octal number to decimal. i. 1042 ii. 264

END OF CLASS NEXT CLASS WE WILL HAVE A CLASS TEST ON BINARY OPERATIONS. � DECIMAL TO BINARY � BINARY TO DECIMAL � ADDITION OF BINARY NUMBERS � SUBTRACTION OF BINARY NUMBERS � MULTIPLICATION OF BINARY NUMBERS � DIVISION OF BINARY NUMBERS.