1- Design a multiplier that handles twos complement number.

2- Convert the following twos complement binary fixed-point numbers to base 10

(a) 0101.1000

(b) 1111.1111

(c) 1000.0000

3- Express the following base 10 numbers in 16-bit fixed-point sign/magnitude format with eight integer bits and eight fraction bits. Express your answer in hexadecimal.

(a) -13.5625

(b) 42.3125

(c) -17.15625

4-Express the following base 10 numbers in IEEE 754 single-precision floating-point format

(a) -13.5625

(b) 42.3125

(c) -17.15625

5- Convert the following twos complement binary fixed-point numbers to base 10

(a) 0101.1000

(b) 1111.1111

(c) 1000.0000

6- Implement the following functions using a single 16X3 ROM. Use dot notation indicate the ROM contents.

(a) X = AB + BCD +AB (b) Y = AB + BD (c) Z=A+B+C+D