Convert HEX to DEC

First write the hex number down. For example: 1AB5h

1AB5h is:

• 5 * 16^0 = 5
• B * 16^1 = 11*16= 176
• A * 16^2 = 10*256 = 2560
• 1 * 16^3 = 1*4096 = 4096

Add the above answers together: 5 + 176 + 2560 + 4096 = 6837. Therefore, 1AB5h = 6837 in DEC.

Convert from DEC to HEX

To convert from DEC to HEX use division. For example convert 11172 to HEX:

• 11172 / 16 = 698 R4 : 11172 = 698 * 16 + 4
• 698 / 16 = 43 R 10 : 698 = 43 * 16 + Ah
• 43 / 16 = 2 R 11 : 43 = 2 * 16 + Bh
• (use the 2 left for the 16^0 place)
• : 2 = 0 * 16 + 2

Now put the answers in the proper place the first number we found goes in the right most position : 2BA4h. Therefore, 11172d = 2BA4h.

Convert DEC to BIN

To convert decimal numbers to binary divide by 2. For example 95:

• 95 / 2 = 47 R 1 : 95 = 47 * 2 + 1
• 47 / 2 = 23 R 1 : 47 = 23 * 2 + 1
• 23 / 2 = 11 R 1 : 23 = 11 * 2 + 1
• 11 / 2 = 5 R 1 : 11 = 5 * 2 + 1
• 5 / 2 = 2 R 1 : 5 = 2 * 2 + 1
• 2 / 2 = 1 R 0 : 2 = 1 * 2 + 0
• (Use the 1 for the 2^0 place)
• : 1 = 0 *2 + 1

Now put the first digit in the right most digit: 1011111. Therefore, 95d = 1011111b.

Convert from Binary to Decimal

To convert from binary to decimal multilply. For example 0010:

(start from the right)

• 0 * 2^0 = 0
• 1 * 2^1 = 2
• 0 * 2^2 = 0
• 0 * 2^3 = 0

Now add the answers 1+1+0+0 = 2. Therefore, 0010b = 2d.

Table of Hexadecimal and Binary Numbers

Decimal       Binary        Hexadecimal
0             0             0
1             1             1
2             10            2
3             11            3
4             100           4
5             101           5
6             110           6
7             111           7
8             1000          8
9             1001          9
10            1010          A
11            1011          B
12            1100          C
13            1101          D
14            1110          E
15            1111          F