Question

A MOD 2 and a MOD 5 up-counter when cascaded together results in a MOD ______ counter.

• A. 3
• B. 7
• C. 10
• D. 20

Hint:

When cascading counters, the total number of unique states (the modulus) is the product of the individual moduli: \(M_{total} = M_1 \times M_2\).

Answer 1

The Correct Option is C

Step 1: Understand cascaded counters. In this configuration, the output of a preceding counter acts as the clock for the subsequent counter.
Step 2: Calculate the total modulus. The overall modulus of a cascaded counter is found by multiplying the individual counter moduli.\[ MOD_{total} = MOD_1 \times MOD_2 \times \cdots \]Given a MOD-2 and a MOD-5 counter:\[ MOD_{total} = 2 \times 5 = 10 \]The resulting configuration is a MOD-10 counter, also called a decade counter.