CIS106 (Introduction to Operating Systems)
BINARY AND HEXADECIMAL: Numbering Systems

Binary has TWO symbols (0-1); decimal has TEN (0-9), and hexadecimal has SIXTEEN (0-9, A-F). Write binary out in sets of four digits each time. Each binary digit is called a “bit”. Eight bits make up a Byte, and four bits are a nibble. Each hex digit represents one nibble. Use Calc.exe to check your work; click on View – Scientific in XP, or View – Programmer in Windows 7.
Part A: Counting in Binary, Decimal, and Hexadecimal. Fill in the symbols and digits in Table 1.
Binary Decimal Hexadecimal Binary Decimal Hexadecimal
0000 0 0 8 1 9 2 1010 10 A 3 11 4 12 5 13 6 14
0111 7 7 15

Part B: Binary to Decimal and Hexadecimal. Complete the chart. Add h to each hex number. Fill in the power of 2’s as well. *2^ means “2 to the power of”; for example, 2^5 = 2 * 2 * 2 * 2 * 2 = 64
No. Binary
(1 Byte format) 128 64 32 16 8 4 2 1 Decimal Hexa-decimal *2^ 2^ 25 2^ 2^ 22 2^ 2^
1 11001100 1 1 0 0 1 1 0 0 128+64+8+4=204 CCh
2 10101010
3 11100011
4 10110011
5 00110101
6 00011101
7 01000110
8 10110001
9 11000001
10 11110000

Part C: Decimal to Binary: Complete the following table to practice converting a number from decimal notation to binary format. Mark each hexadecimal number with h.
No. Decimal 128 64 32 16 8 4 2 1 Add them up to check Hexadecimal
11 49 0 0 1 1 0 0 0 1 64+32= 48; 0011=3;0001=1 31h
12 15
13 77
14 140
15 252
16 222
17 192
18 169
19 127
20 your age

Part D: Look for binary and hex values: Command Line color properties; I/O values in Device Manager;
IPv4 and Subnet Mask values; IPv6 values; MAC addresses of