This is an open book, open notes exam; however, the use of calculators is forbidden. The exam is to be turned in by 8:30 PM.
Convert the following decimal numbers into 10-bit two's-complement binary numbers
Represent the following 10-bit two's-complement numbers as decimal numbers
Convert the decimal number 6.65 into a floating point number with one sign bit, an eight-bit exponent expressed using excess-127 notation, and a 23-bit mantissa. By the way, if it takes you a long time to derive the mantissa, you are doing something wrong.
Use either a truth table or Boolean algebra to show that the following two Boolean expressions are equivalent:
Draw a sum-of-products circuit implementation of the following Boolean expression
Now implement the Boolean expression, ( x + y ) z', of the previous problem using only four two-input NAND gates. Hint: Start with the sum-of-products implementation.
If registers A and B have the following values:
what are the values of the following five expressions
| A + B | + is ordinary addition |
| A - B | - is ordinary addition |
| A AND B | AND is bit-wise logical and, C's & operator, the upside-down V |
| asl B | asl is arithmetic shift left |
| csl B | csl is circular shift left |
Look at Figure 5-4 on page 130 of the textbook, if
what happens in the next bus transaction?
How would you set the control inputs of the bus system shown in Figure 5-4 on page 130 of the textbook to execute the following RTL statement?
Suppose the following 16 bit hexadecimal values are stored in the memory of the "basic computer" described in Table 5-2 on page 133 of the textbook.
What action is performed when these five words are executed in order?