EE 3950 Chapter : EE3950 Class Notes Chapter 13
Document Summary
A number is represented by a string of digits where each digit position has an associated weight. The weight is based on the radix of the number system. Some common radices: (cid:132) decimal. (cid:132) binary. (cid:132) hexadecimal. Decimal. (cid:132) w = 12310 = 123d = 123. Hexadecimal. (cid:132) z = 0a316 = 0a3h = 0xa3. Decimal. (cid:132) here the base or radix is 10. Digits used. (cid:132) 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Binary. (cid:132) here the base or radix is 2. Hexadecimal. (cid:132) here the base or radix is 16. Digits used: (cid:132) 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, and. Substitute a three binary digit string with an octal digit. Substitute a four binary digit string, called a nibble, with a hexadecimal digit. 1 1 1 1 0 1 0 1 1 = 1 e b.
