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SECTION I-5: Converting Between Binary and Hex Number System
To represent a Binary Number as its equivalent Hexadecimal number, start from the right and group 4 bits at a time, replacing each 4-bit binary number with its Hex equivalent. To convert from Hex to Binary, each Hex digits is replaced with its 4-bit binary equivalent. This is demonstrated below in Examples.
| Represent Binary 100111110101 in Hex | ||
|---|---|---|
| First the number is grouped into sets of 4 bits : 1001 1111 0101 | ||
| Then each group of 4 bits is replaced with its hex equivalent: | ||
| 1001 | 1111 | 0101 |
| 9 | F | 5 |
| Therefore, 1001111101012 = 9F5 Hexadecimal | ||
| Convert Hex 29B to Binary | ||
|---|---|---|
| 2 | 9 | B |
| 0010 | 1001 | 1011 |
| Dropping the leading zeros gives 1010011011 | ||