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Question

A 10 ½ digit timer counter possesses a base clock of frequency 100 MHz. When measuring a particular input, the reading obtained is the same in: (i) Frequency mode of operation with a gating time of one second and (ii) Period mode of operation (in the × 10 ns scale). The frequency of the unknown input (reading obtained) in Hz is _____________.

For frequency mode of operation

\(f = \frac{n}{t}\)

f is frequency of input signal

n is number of cycles

t is gating time

n = 100 × 106

t = 1 sec

f = 108 cycles/sec

In period made period P of input signal is the inverse of its frequency

\(P = \frac{1}{f} = \frac{1}{{{{10}^8}}} = 10\;ns\)

On 10 ½ digit display,

Frequency is displayed as 10000000.00 Hz

Period is displayed as 10.00000000 ns
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