This document provides a tutorial on converting mixed decimal, octal, and hexadecimal numbers to mixed binary numbers. It outlines the necessary steps for each conversion type, including splitting the numbers and combining binary values. Example conversions are given for better understanding.

1. DATA REPRESENTATION
NUMBER SYSTEM
COMPUTER SCIENCE(083)
CLASS: XI PART-6

2. CONV ERT A MI XED DECI MAL TO A MI XED B I NARY
NUMB ER
CONV ERT A MI XED OC TAL NUMB ER TO A MI XED B I NARY
NUMB ER
CONV ERT a MI XED HEXADECI MAL NUMB ER TO A MI XED
B I NARY NUMB ER
IN THIS TUTORIAL WE DISCUSS HOW TO:

3. 1
1
0
1
1
Convert Mixed Decimal number To Mixed Binary number
(15.872)10 = ( ? )2
1111
Fraction No. By 2 Result Integer
.872 x 2 1.744
.744 x 2 1.488
.488 x 2 0.976
11011
.976 x 2 1.952
.952 x 2 1.904
Ans: = ( )2
1111 11011
15 .872

4. Convert Mixed Octal number To Mixed
Binary number
(435.267)8 = ( ? )2
Step 1: Split the numbers of octal.
Step 2: Divide each number with binary base value (2)
Step 3: Combine all the binary values of each number that you split.
Note : Each number binary always of three binary numbers only in octal case

5. Convert Mixed Octal number To Mixed Binary number
(435.267)8 =
4 3 5
( 100 ) 0 (101)
( )2
100 101( 11)011
010( 10)0
2 6
7 110(110)
(111)111

6. Convert Mixed Hexadecimal number
To Mixed Binary number
(A4F.C2F)16 = ( ? )2
Step 1: Split the numbers of Hexadecimal number first.
Step 2: Divide each number with binary base value (2)
Step 3: Combine all the binary values of each number that you split.
Note : Each number binary always of four binary numbers only in hexadecimal case

7. Convert Mixed Hexadecimal number To Mixed Binary number
(A4F.C2F)16 =
A 4 F
( 1010 )
( 100)
(1111)
( )2
10 15
00100
1111
1010
C 12
(1100)1100
2 ( 10)000010
F 15 (1111)1111