Fig. 1 shows a diagnostic display from a solar-power inverter. The display uses hexadecimal 00AF for an error counter. A technician converts the value befor...
Question 1 Report
Fig. 1 shows a diagnostic display from a solar-power inverter. The display uses hexadecimal 00AF for an error counter. A technician converts the value before entering it into a decimal report. The first two digits are zero because the counter is stored in a 16-bit memory location.
(a) Give the decimal value of hexadecimal 00AF. [3]
(b) Give the 16-bit binary value of hexadecimal 00AF. [2]
(c) State why the two leading hexadecimal zeroes are retained on the display. [2]
Answer Details
(a) The leading zeroes have no value. \(A=10\) and \(F=15\): \[10\times16+15=160+15=\mathbf{175}\] [3]
(b) Convert each hexadecimal digit into four bits: \(0=0000\), \(0=0000\), \(A=1010\), \(F=1111\). Therefore the 16-bit value is 0000 0000 1010 1111. [2]
(c) The zeroes are retained to show that the value occupies a fixed four-hexadecimal-digit, 16-bit field. They do not alter the numerical value. [2]
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