10:58 20 88 Q : EE102 Homework #1 1.1 Convert the hexadecimal number 64CD to binary, and then convert it from binary to octal. 1.2 Convert the decimal number 431 to binary in two ways: (a) convert...

Computer Science

Extracted text: 10:58 20 88 Q : EE102 Homework #1 1.1 Convert the hexadecimal number 64CD to binary, and then convert it from binary to octal. 1.2 Convert the decimal number 431 to binary in two ways: (a) convert directly to binary; (b) convert first to hexadecimal and then from hexadecimal to binary. Which method is faster? 1.3 Express the following numbers in decimal: (a) (10110.0101); (b) (16.5)16 (c) (26.24)s (d) (DADA.B)15 (e) (1010.1101)2 1.4 Convert the following binary numbers to hexadecimal and to decimal: (a) 1.10010, (b) 110.010 Explain why the decimal answer in (b) is 4 times that in (a). 1.5 Perform the following division in binary: 111011 + 101. 1.6 Add and multiply the following numbers without converting them to decimal. (a) Binary numbers 1011 and 101. (b) Hexadecimal numbers 2E and 34. 1.7 Do the following conversion problems: (a) Convert decimal 27.315 to binary. (b) Calculate the binary equivalent of 2/3 out to eight places. Then convert from binary to decimal. How close is the result to 2/3? (c) Convert the binary result in (b) into hexadecimal. Then convert the result to decimal. Is the answer the same? 1.8 Obtain the 1's and 2's complements of the following binary numbers: (a) 00010000 (b) 00000000 (c) 11011010 (d) 10101010 (e) 10000101 (f) 11111111. Annotate