Question body Question No. 1. List the binary, octal, and hexadecimal numbers from 16 to 31. 2. What is the exact number of bits in a memory that contains (a) 96K bits; (b) 640M bits; (c) 4G bits? 3. What is the decimal equivalent of the largest binary integer that can be obtained with (a) 11 bits and (b) 25 bits? 4. Convert the following binary numbers to decimal: 1001101, 1010011.101, and 10101110.1001 5. Convert the following decimal numbers to the indicated bases: (a) 7562.45 to octal (b) 1938.257 to hexadecimal (c) 175.175 to binary Ves Reset 6. Perform the following binary multiplications: (a) 1101 1011 (b) 0101 x1010 Division is composed of multiplications and subtractions. Perform the Binary division 1010110 =101 to obtain a quotient and remainder. VE 8. Represent the decimal numbers 694 and 835 in BCD, and then show the steps necessary to form their sum 9. Decode the following ASCII code: 1000111 and 1101111 10. This problem concerns wind measurements made by the 4 111 wireless weather station in Example 1. The wind direction is to be measured with a disk encoder like the one shown in Figure 5(b). (a) Assuming that the code 000 corresponds to N, list the Gray code values for each of the directions, S, E, W, NW, NE, SW, and SE. (b) Explain why the Gray code you have assigned avoids the reporting of major errors in wind direction. 000 100 000 111 B. B 10 001 101 001 B2 G2 G 01 010 111 GO 011 100 011 Binary code for positions 0 through 7 110 010 (b) Gray code for positions 0 through 7 FIGURE 5