INF_106_Lab 1

Laboratory work №1
Week 1
Learn Numerical Systems

Number Systems

Binary numbers and their decimal equivalents

Decimal to binary conversion
For example,
Divide number by 2.
Reminder goes each columns.
22/2=11, 0
11/2=5 reminder 1
5/2=2 remainder 1
2/2=1, 0
1/2= 0, reminder 1.

Binary to decimal conversion

Decimal to octal conversion
Example,
Divide number by 8.
22/8=16, reminder 6
2/8=0, reminder 2
Octal to decimal conversion

Hexadecimal
number
system

Decimal to hexadecimal conversion
Divide the number by 16.
22/16=1 reminder 6
1/16=0 reminder 1
Hexadecimal to decimal conversion

Hexadecimal to binary conversion
Conversion between hexadecimal and binary is easy because each hexadecimal digit directly corresponds to four binary digits.

Binary to hexadecimal conversion
Start reading from the right.
The four least significant bits are

Practice
4810 to binary
1910 to binary
100102 to decimal
111002 to decimal
6416 to decimal
2E16 to decimal

Answers
4810 = 1100002
1910 = 100112
100102 = 1810
111002 = 2810
6416 = 10010
2E16 = 4610

Home work
Laboratory work 1