4. (2 pts) Convert the following two's complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation. (Note: You should show all the steps to receive full credits) a) 011101.10101 b) 100110.11010

ES) Convert 27.3410 to octal. If the answer is irrational, stop at four digits after number point. (us) Convert 0.110 to binary. Can you accurately represent the same value in binary using a certain number of bits? Why or why not? What is the relationship between the three numbers below? Explain why it is the case. xyzb xyzob xy.zb Here x, y, and z are all valid single-digit values in the number system in base b and b is an integer larger than 1.

6. Perform the following binary multiplication. Assume that all values are 2’s complementnumbers. Indicate the result and whether there is overflow or not.1011 * 1101

2. po.) What is the largest number that can be represented using 5 bits?

Q.No.1. Convert the following given numbers a) Decimal to Binary and Binary to Decimal a. 256.25 b) Decimal to Hexa-decimal and Hexa-decimal to Decimal a. 121.34 c) Hexa-decimal to Binary and Binary to Hexa-decimal a. AB1.98

(Q10.14) Convert the following decimal numbers to their hexadecimal and binary equivalents:   A)204.125 B)255.875 C)631.25 D)10000.00390625

6. Using only the binary shift left operation, how can one multiply a number by decimal 16?

Quiq

Extend the ASCII code to 8 bits by adding a 0 to the left of each character and find the bit combinations needed to store the character strings given below. Give your answers in hexadecimal notation. (Caution: Do not overlook the spaces, periods, carriage returns, line feeds extra.) a. CSC 1104 b. Comp_Arch

(ii) Convert the number 1000 from base 2 to base 10. Show all steps.