Chapter 1:
1.
2.
3.
4.
5.
6.
Digital Systems: represent and manipulate discrete set of elements: Chess board, pack of cards,..
Number systems: decimal number systems
Computers/digital systems: binary number system
Other number systems of interest: octal, hexadecimal,..
Number systems: defined by the radix… radix/base?
Base conversion:
We think in decimal … machine think in binary.. lets convert decimal binary
How about any radix conversion?
Fractional numbers: number conversion…
41.6875 decimal to binary
Hexadecimal number: representational support….binary to hexadecimal and back
7. Complements of numbers: radix complement
Binary only
1’s complement: simple flip the “bits” or binary digits
2’s complement: 1’s complement + 1
8. Signed-binary numbers:
Sign-magnitude
1’s complement for negative numbers
2’scomplement for negative numbers