**Arithmetic Quiz**

- For an 8-bit group, work out the representation for −37
_{10}in- Sign & Magnitude
- One's Complement
- Two's Complement
- Excess-256 (Note: The n in Excess-n does not
- Excess-128

*have*to equal 2^{m−1}, where m is the number of bits in the bit-group) - For a 10-bit group, what range of integers cen be represented using
- Sign & Magnitude
- One's Complement
- Two's Complement
- Excess-512

- Express 98765
_{10}in Binary Coded Decimal - Form the negative equivalent of the following 8-bit Two's Complement numbers
`00011001 00011110 01101000 01110100` - Perform the following 12-bit two’s complement subtraction
1010 1010 1011 −1011 0000 1101

Check your answer by determining the decimal representation of the numbers and the result

last updated: 24-Oct-06 Ian Harries <ih@doc.ic.ac.uk>