Question

I need the following problems worked out (show work). Thee answers are provided, I just need the work explained briefly for each one.

4 - What is the decimal representation of each of the following unsigned binary integers?

a. 00110101 (53)

b. 10010110 (150)

c. 11001100 (204)

6 - What is the sum of each pair of binary numbers?

a. 10101111 + 11011011 (110001010)

b. 10010111 + 11111111 (110010110)

c. 01110101 + 10101100 (100100001)

8 - How many bits are used by each of the following data types?

a. word (8)

b. doubleword (32)

c. quadword (64)

10 - What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers?

a. 4095 (12)

b. 65534 (16)

c. 42319 (16)

12 - What is the hexadecimal representation of each of the following binary numbers?

a. 0011 0101 1101 1010 (35DA)

b. 1100 1110 1010 0011 (CEA3)

c. 1111 1110 1101 1011 (FEDB)

14 - What is the binary representation of the following hexadecimal numbers?

a. 0126F9D4 (0000 0001 0010 0110 1111 1001 1101 0100)

b. 6ACDFA95 (0110 1010 1100 1101 1111 1010 1001 0101)

c. F69BDC2A (1111 0110 1001 1011 1101 1100 0010 1010)

22 - What is the decimal representation of each of the following signed binary numbers?

a. 10000000 (−128)

b. 11001100 (-52)

c. 10110111 (-73)

24 - What is the 8-bit binary (two's-complement) representation of each of the following signed decimal integers?

a. -72 (10111000)

b. -98 (10011110)

c. -26 (11100110)

26 - What are the hexadecimal and decimal representations of the ascii character capital M?

hexidecimal - 4d

decimal - 77

28 - What is the largest value you can represent using a 256-bit unsigned integer?

(2^256)-1 or two to the two-hundred fifty-sixth power minus one.

Answer 1

4) For this question we will be converting Binary to decimal using the formula = (dn)*(2)^{n where n is position of binary digit in number}

I am attaching images for solution.