Dr Ajay Nagne BINARY TO OTHER NO SYSTEM

Dr. Ajay Nagne BINARY TO OTHER NO. SYSTEM Dr. Ajay Nagne 1

Binary to Other No. system 2 4) Binary to Decimal No. system 5) Binary to Octal No. system 6) Binary to Hexadecimal No. system Dr. Ajay Nagne

4) Binary to Decimal No. system 3 Ex. 1 (10010)2 =( ? )10 1 0 MSB 4 2 23 22 1 2 Dr. Ajay Nagne 20 LSB Dr. Ajay Nagne

4) Binary to Decimal No. system 4 MSB Binary No. 1 Binary Digit 0 Dr. Ajay Nagne 0 1 Dr. Ajay Nagne LSB 0

4) Binary to Decimal No. system 5 MSB Binary Digit LSB Binary No. 1 0 0 1 0 It’s Power 24 23 22 21 20 Dr. Ajay Nagne

4) Binary to Decimal No. system 6 MSB Binary Digit LSB Binary No. 1 0 0 1 0 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Dr. Ajay Nagne

4) Binary to Decimal No. system 7 MSB Binary Digit LSB Binary No. 1 0 0 1 0 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Multiplication 16 0 0 2 0 Dr. Ajay Nagne

4) Binary to Decimal No. system 8 MSB Binary Digit LSB Binary No. 1 0 0 1 0 It’s Value 16 8 4 2 1 Multiplication 16 0 0 2 0 Dr. Ajay Nagne

4) Binary to Decimal No. system 9 MSB Binary Digit LSB Binary No. 1 0 0 1 0 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Multiplication 16 0 0 2 0 Addition 16+0+0+2+0 = 18 (10010)2 =(18)10 Dr. Ajay Nagne

Ex. 2 (1111)2 =( ? )10 10 MSB LSB Binary No. 1 1 It’s Power 23 22 21 20 Dr. Ajay Nagne

Ex. 2 (1111)2 =( ? )10 11 MSB LSB Binary No. 1 1 It’s Power 23 22 21 20 It’s Value 8 4 2 1 Dr. Ajay Nagne

Ex. 2 (1111)2 =( ? )10 12 MSB LSB Binary No. 1 1 It’s Value 8 4 2 1 Multiplication 8 4 2 1 Dr. Ajay Nagne

Ex. 2 (1111)2 =( ? )10 13 MSB LSB Binary No. 1 1 It’s Power 23 22 21 20 It’s Value 8 4 2 1 Multiplication 8 4 2 1 Addition 8+4+2+1 = 15 Dr. Ajay Nagne

Ex. 3 (10101)2 =( ? )10 14 MS B Binary No. 1 LSB 0 1 Dr. Ajay Nagne

Ex. 3 (10101)2 =( ? )10 15 MS B LSB Binary No. 1 0 1 It’s Power 24 23 22 21 20 Dr. Ajay Nagne

Ex. 3 (10101)2 =( ? )10 16 MS B LSB Binary No. 1 0 1 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Dr. Ajay Nagne

Ex. 3 (10101)2 =( ? )10 17 MS B LSB Binary No. 1 0 1 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Multiplicatio 16 n 8 4 2 1 Dr. Ajay Nagne

Ex. 3 (10101)2 =( ? )10 18 MS B LSB Binary No. 1 0 1 It’s Power 24 23 22 21 20 It’s Value 16 8 4 2 1 Multiplicatio 16 n 0 4 0 1 Addition 16+0+4+0+1=21 Dr. Ajay Nagne

19 Ex. 4 (100011011)2 =( ? )10 MS B Binary Digit LSB 1 0 0 0 1 1 28 27 26 25 24 23 22 21 20 256 128 64 32 16 8 4 2 1 Dr. Ajay Nagne

20 MS B Binary Digit LSB 1 0 0 0 1 1 28 27 26 25 24 23 22 21 20 256 128 64 32 16 8 4 2 1 Dr. Ajay Nagne

21 MS B Binary Digit 1110001 LSB 1 1 1 0 0 0 1 26 25 24 23 22 21 20 64 32 16 8 4 2 1 0 0 16 8 0 2 1 ANS= Dr. Ajay Nagne

22 Ex. 5 (101100)2 =( 44 )10 Ex. 6 (1100)2 =( 12 )10 Ex. 7 (101200)2 =(27 / 48 / 44 / 29 / 76 )10 Ex. 8 (1110001)2 =( 113 / 112 / 114 / 118)10 Ex. 9 (0010110)2 =( 22 )10 Ex. 10 (1010101)2 =( 85 )10 Dr. Ajay Nagne

23 5) Binary to Octal No. system Dr. Ajay Nagne

Binary 24 0 0 1 1 Octal 0 1 0 1 0 1 2 3 4 5 6 7 Dr. Ajay Nagne

5) Binary to Octal No. system 25 Step 1: �Make Group of 3 bit binary number starting from LSB to MSB. Step 2: �Convert each group of 3 bit to Octal Number (Refer Table) Dr. Ajay Nagne

5) Binary to Octal No. system 26 Ex. 1 (010 0 10)2= ( ? )8 MSB 01 0 0 1 0 2 2 LSB (010 0 10)2= (22)8 Dr. Ajay Nagne

27 0000005 00111 = 111 Dr. Ajay Nagne

Ex. 2 (1111)2 =( 17 )8 28 (1111)2 =( ? )2 001111 1 7 Dr. Ajay Nagne

Ex. 2 (10110011)2 =(263)8 29 010110011 2 6 3 Dr. Ajay Nagne

Ex. 11 (1011. 0011)2 =(13. 14) 30 0 0 1 100 1 3 1 Dr. Ajay Nagne 4

Ex. 11(10101. 11010)2 =(25. 64)8 31 010 101. 110 100 2 5 . 6 001. 50000 Dr. Ajay Nagne 4

32 6) Binary to Hexadecimal No. system Dr. Ajay Nagne

Decimal 33 Binary Hexadecima l 0 0 0 1 1 2 0 0 1 0 2 3 0 0 1 1 3 4 0 1 0 0 4 5 0 1 5 6 0 1 1 0 6 7 0 1 1 1 7 8 1 0 0 0 8 9 1 0 0 1 9 10 1 0 A 11 1 0 1 1 B 12 1 1 0 0 C 13 1 1 0 Dr. Ajay 1 Nagne Dr. Ajay Nagne D

6) Binary to Hexadecimal No. system 34 Step 1: �Make Group of 4 bit binary number starting from LSB to MSB. Step 2: �Convert each group of 4 bit to Hexadecimal Number (Refer Table) Dr. Ajay Nagne

Ex. 1 (10010011)2 =(93)16 35 1001 0011 9 3 Dr. Ajay Nagne

Ex. 2 (10101000)2 =( A 8 )16 36 1010 1000 A 8 Dr. Ajay Nagne

Ex. 3 (110101001)2 =( 1 A 9 )1 37 0001 1 0 1 0 0 1 1 A Dr. Ajay Nagne 9 Dr. Ajay Nagne

38 Ex. 4 (1010111)2 = ( 57 )16 Ex. 5 (0001111)2 = ( 18 F )16 Ex. 6 (10110111)2 = ( B 7 )16 Ex. 7 (10001110)2 = ( 8 E )16 Ex. 8 (11111001)2 = ( F 9 )16 Ex. 9 (10001110)2 = ( 8 E )16 Ex. 10 (111010101)2 = ( 1 D 5 )16 Dr. Ajay Nagne

39 Thank You. . . ! Dr. Ajay Nagne