1. Problems: 1. (6 points) Convert the decimal number 25.84375 to binary with a maximum of six places to the right of the binary point. 2. (2 points) Convert the hexadecimal number AC12 to binary. 3. (6 points) Represent the following decimal numbers in binary using 8-bit signed magnitude, one's complement, and two's complement representations: a) 60 b) -60% 4. (4 points) What decimal value does the 8-bit binary number 10011110 have if: a) It is interpreted as an unsigned number? b) It is on a computer using signed-magnitude representation? c) It is on a computer using ones complement representation? d) It is on a computer using twos complement representation? 5. (3 points) Given the following two binary numbers: 11111100 and 01110000.- a) Which of these two numbers is the larger unsigned binary number? b) Which of these two is the larger when it is being interpreted on a computer using signed- two's complement representation? c) Which of these two is the smaller when it is being interpreted on a computer using signed- magnitude representation? 6. (3 points) Using a \word" of 4 bits, list all of the possible signed binary numbers and their decimal equivalents that are representable in: a) Signed magnitude b) One's complement c) Two's complemente