- 1 A Convert The Decimal Number 49 476 To Its Equivalent Binary Number Note Show The Steps Used For The Conversion 1 (138.86 KiB) Viewed 26 times
1. (a) Convert the decimal number 49.476 to its equivalent binary number. Note: show the steps used for the conversion. [2 marks] (b) Determine the decimal equivalent value of the following two singed binary numbers using 2's complement system of representation. Perform the subtraction between them and show that the results obtained from decimal and binary operations are equal. 011001012 - 111010002 [3 marks] ТТА (c) The pressure and temperature of a certain process in a chemical company are monitored using sensors. Each of the sensor circuits produces a HIGH voltage when a specified maximum value is exceeded. Design a logic circuit so that it triggers an alarm when either the pressure or the temperature is excessive. Note alarm is activated with a LOW voltage. [2 marks] SENI FILM (d) The function of a logical circuit is shown in the truth table (Table Q1(d)). Reduce the function specified in truth Table Q1(d) to its minimum Sum of Product (SOP) form by using a Karnaugh map. For the output expression obtained draw the corresponding logic circuit. Table Qi(d) Inputs Output ABCD Y 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 100 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 1001 0 1 0 1 0 1 10 1 1 0 1 100 0 1 1 0 1 1 1 110 0 1 1 1 1 1 CLASSIFIED [5 marks)
(e) Draw the timing diagram for the circuit shown in Figure Q1(e) (including signals CLK, Q, CLKA and CLKB). Assume the frequency of the CLK is 100MHz, determine the frequency and duty cycle of the CLKA and CLKB. Discuss the possibility of the glitch in the outputs of the circuit and a possible measure to rectify the same. [6 marks) CLKA D CLK >C CLKB Figure Q1(e) (f) For the circuit in Figure Q1(f), determine the maximum frequency of the clock signal for reliable operation if the set-up time for each flip-flop is 2ns and the propagation delay from low to high (tpuu) is 5ns and the propagation delay from high to low (tphL) is 8ns. [2 marks] SAN FILENTIAL HIGH OA JA OB DC с QA KA KB Figure Q1(f) LASSE