Dr Ajay Nagne HEXA TO OTHER NO SYSTEM

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

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

Hexa to Other No. system 2 10) Hexa to Decimal No. system 11) Hexa

Hexa to Other No. system 2 10) Hexa to Decimal No. system 11) Hexa to Binary No. system 12) Hexa to Octal No. system Dr. Ajay Nagne

10) Hexa to Decimal No. system 3 Ex. 1 (125)16 =( ? )10 1

10) Hexa to Decimal No. system 3 Ex. 1 (125)16 =( ? )10 1 MSD 2 5 LSD 0 16 =1 1 16 =16 2 16=256 Dr. Ajay Nagne

Ex. 1 (125)16 =( ? )10 4 MSD Octal Digit Hexa No. 1 2

Ex. 1 (125)16 =( ? )10 4 MSD Octal Digit Hexa No. 1 2 Dr. Ajay Nagne LSD 5 Dr. Ajay Nagne

Ex. 1 (125)16 =( ? )10 5 MSD Octal Digit LSD Hexa No. 1

Ex. 1 (125)16 =( ? )10 5 MSD Octal Digit LSD Hexa No. 1 2 5 It’s Power 162 161 160 It’s Value 256 16 1 2*16 5*1 Multiplication 1*256 Dr. Ajay Nagne

Ex. 1 (125)16 =( ? )10 6 MSD Octal Digit LSD Hexa No. 1

Ex. 1 (125)16 =( ? )10 6 MSD Octal Digit LSD Hexa No. 1 2 5 It’s Power 162 161 160 It’s Value 256 16 1 2*16 5*1 Multiplication 1*256 = 256 + 32 +5 = 293 Dr. Ajay Nagne

Ex. 2 (258)16 =( ? )10 7 Hexa No. MSD Octal Digit LSD 2

Ex. 2 (258)16 =( ? )10 7 Hexa No. MSD Octal Digit LSD 2 5 8 Dr. Ajay Nagne

Ex. 2 (258)16 =( ? )10 8 MSD Octal Digit LSD Hexa No. 2

Ex. 2 (258)16 =( ? )10 8 MSD Octal Digit LSD Hexa No. 2 5 8 It’s Power 162 161 160 Dr. Ajay Nagne

Ex. 2 (258)16 =( ? )10 9 MSD Octal Digit LSD Hexa No. 2

Ex. 2 (258)16 =( ? )10 9 MSD Octal Digit LSD Hexa No. 2 5 8 It’s Power 162 161 160 It’s Value 256 16 1 Dr. Ajay Nagne

Ex. 2 (258)16 =( ? )10 10 MSD Octal Digit LSD Hexa No. 2

Ex. 2 (258)16 =( ? )10 10 MSD Octal Digit LSD Hexa No. 2 5 8 It’s Power 162 161 160 It’s Value 256 16 1 Dr. Ajay Nagne

Ex. 2 (258)16 =( ? )10 11 MSD Octal Digit LSD Hexa No. 2

Ex. 2 (258)16 =( ? )10 11 MSD Octal Digit LSD Hexa No. 2 5 8 It’s Power 162 161 160 It’s Value 256 16 1 5*16 8*1 Multiplication 2*256 Dr. Ajay Nagne

Ex. 2 (258)16 =( 600 )10 12 MSD Hexa Digit LSD Hexa No. 2

Ex. 2 (258)16 =( 600 )10 12 MSD Hexa Digit LSD Hexa No. 2 5 8 It’s Power 162 161 160 It’s Value 256 16 1 5*16 8*1 Multiplication 2*256 = 512 + 80 + 8 = 600 Dr. Ajay Nagne

Ex. 3 (4 AF)16 =( 1199 )10 13 MSD Hexa Digit LSD Hexa No.

Ex. 3 (4 AF)16 =( 1199 )10 13 MSD Hexa Digit LSD Hexa No. 4 A F It’s Power 162 161 160 Value 256 16 1 Multi. . 4*256 A*16 F*1 4*256 10*16 15*1 = 1024 + 160 15 = 1199 Dr. Ajay Nagne

14 Ex 4. (89)16 Ex 5. (ABCD)16 Ex 6. (9207)16 Ex 7. (1 F

14 Ex 4. (89)16 Ex 5. (ABCD)16 Ex 6. (9207)16 Ex 7. (1 F 2 B)16 Ex 8. (783)16 Ex 9. (222)16 Ex 10. (FED)16 = ( 137 )10 = ( 43981 / 7117 )10 = ( 37383 )10 = ( 7982 / 7979)10 = ( 2016 / 1923 )10 = ( 546 )10 = ( 4077 / 4350 )10 Dr. Ajay Nagne

Ex. 7 (1 F 2 B)16 =( 1199 )10 15 MSD Hexa Digit LSD

Ex. 7 (1 F 2 B)16 =( 1199 )10 15 MSD Hexa Digit LSD Hexa No. 1 F 2 B It’s Power 163 162 161 160 Value 4096 256 16 1 Multi. . 1*4096 15*256 2*16 11*1 4096 3840 32 11 = 7979 Dr. Ajay Nagne

Ex. 5 (ABCD)16 =( 1199 )10 16 MSD Hexa Digit LSD Hexa No. A

Ex. 5 (ABCD)16 =( 1199 )10 16 MSD Hexa Digit LSD Hexa No. A B C D It’s Power 163 162 161 160 Value 4096 256 16 1 12*16 13*1 192 13 Multi. . 10*4096 11*256 40960 2816 = 43981 Dr. Ajay Nagne

17 11) Hexa to Binary No. system Dr. Ajay Nagne

17 11) Hexa to Binary No. system Dr. Ajay Nagne

11) Hexa to Binary No. system 18 Step 1: � Refer the table and

11) Hexa to Binary No. system 18 Step 1: � Refer the table and write Hexa equivalent 4 bit binary number. Dr. Ajay Nagne

Ex. 1 (45)16 =( )2 19 (45)16 =( )2 4 0100 5 0101 Ex.

Ex. 1 (45)16 =( )2 19 (45)16 =( )2 4 0100 5 0101 Ex. 1 (45)16 =(01000101)2 Dr. Ajay Nagne

Ex. 2 (9 A)16 =( )2 20 (9 A)16 =( )2 9 A 1001

Ex. 2 (9 A)16 =( )2 20 (9 A)16 =( )2 9 A 1001 1010 Ex. 2 (9 A)16 =( 10011010 )2 Dr. Ajay Nagne

Ex. 3 (AB 2 C)16 =( )2 21 (AB 2 C)16 =( )2 A

Ex. 3 (AB 2 C)16 =( )2 21 (AB 2 C)16 =( )2 A B 2 1010 1011 0010 1100 Dr. Ajay Nagne (AB 2 C)16 =(1010101100 )2 C

111000 22 Ex 4. (46)16 = ( 01000110 )2 Ex 5. (ABCD)16 = (

111000 22 Ex 4. (46)16 = ( 01000110 )2 Ex 5. (ABCD)16 = ( 1010 1011 1100 1101)2 Ex 6. (1029)16 = ( 0001 0000 0010 1001)2 Ex 7. (FEB)16 = ( )2 Ex 8. (547)16 = ( )2 Ex 9. (888)16 = ( )2 Ex 10. (2 E 5 B)16 = ( )2 Dr. Ajay Nagne

23 12) Hexadecimal to Octal No. system Dr. Ajay Nagne

23 12) Hexadecimal to Octal No. system Dr. Ajay Nagne

12) Hexadecimal to Octal No. system 24 Step 1: � Convert Hexa No. to

12) Hexadecimal to Octal No. system 24 Step 1: � Convert Hexa No. to Binary No. Step 2: �Convert that Binary no. into Octal No. Dr. Ajay Nagne

Ex. 1 (45)16 =( ? )8 25 Step 1: � Convert Hexa No. to

Ex. 1 (45)16 =( ? )8 25 Step 1: � Convert Hexa No. to Binary No. (45)16 =( 0100 0101 )2 Step 2: - � Convert that Binary no. into Octal No. = 001 000 101 = 1 0 5 (45)16 =( 105 )8 Dr. Ajay Nagne

Ex. 2 (2 A)16 =( ? )8 26 Step 1: � Convert Hexa No.

Ex. 2 (2 A)16 =( ? )8 26 Step 1: � Convert Hexa No. to Binary No. (2 A)16 =( 0010 1010 )2 Step 2: - � Convert that Binary no. into Octal No. = 000 101 = 0 5 010 2 (2 A)16 =( 052 )8 Dr. Ajay Nagne

Ex. 3 (7 FA)16 =( ? )8 27 Step 1: � Convert Hexa No.

Ex. 3 (7 FA)16 =( ? )8 27 Step 1: � Convert Hexa No. to Binary No. (7 FA)16 =( 0111 1010 )2 Step 2: - � Convert that Binary no. into Octal No. = 011 11 1 010 = 3 7 7 2 (7 FA)16 =( 3772 )8 Dr. Ajay Nagne

28 Ex 4. (456)16 Ex 5. (ABCD)16 Ex 6. (98 FD)16 Ex 7. (6

28 Ex 4. (456)16 Ex 5. (ABCD)16 Ex 6. (98 FD)16 Ex 7. (6 A 7 D)16 Ex 8. (BCD)16 Ex 9. (7890)16 Ex 10. (DEC)16 = ( 2126 )8 = ( 125715 )8 = ( 114375 )8 = ( 65175 )8 = ( 5715 )8 = ( 74220 )8 = ( 6754 )8 Dr. Ajay Nagne

From To Binary Octal 29 Binary Octal Decim Hexadecim al al ----- Create 3

From To Binary Octal 29 Binary Octal Decim Hexadecim al al ----- Create 3 bit Use group from Power of LSB 2 Ref. Table Use & write -----Power of 3 bit 8 MOD Operation using 2 MOD Operation using 8 ----- Create 4 bit group from LSB 1. Octal TO Binary 2. Binary TO Hexa MOD Operation using 16 Use Hexadecim Ref. Table 1. Hexa TO & write Binary 2. Power of -----al Dr. Ajay Nagne 4 bit Binary To 16

30 Thank You. . . ! Dr. Ajay Nagne

30 Thank You. . . ! Dr. Ajay Nagne

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