Computer XI Content
Number System
Chapter Three: Number System | HSEB Guides
CONVERSION TECHNIQUES:
1. Decimal to
a. Binary
® /2 (Integer Part)
® *2 (Decimal Part)
b. Octal
® /8 (Integer Part)
® *8 (Decimal Part)
c. Hexadecimal
® /16 (Integer Part)
® *16 (Decimal Part)
2. Binary to
a. Octal
® Table (3-bit)
b. Decimal
® *2n
For eg. (1011)2
=1*23+0*22 +1*21+1*20
c. Hexadecimal
® Table (4-bit)
3. Octal to
a. Binary
® Table (3-bit)
b. Decimal
® *8n
For eg. (2341)8
=2*83+3*82 +4*81+1*80
c. Hexadecimal
® Construct table of:
Octal-Binary (3Bit)
Binary-hexadecimal (4Bit)
4. Hexadecimal to
a. Binary
® Table (4-bit)
b. Octal
® Construct table of:
Hexa-Binary (4Bit)
Binary-Octal (3Bit)
c. Decimal
® *16n
For eg. (12A8)2
=1*163+2*162 +10*161+8*160
1’s and 2’s Complement