CUET PG 2021 — Computer PYQ

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Question

CUET PG 2021 — Computer PYQ

CUET PG | Computer | 2021

Which flip-flops serves to be the fundamental building blocks of counters?

Choose the correct answer:

Explanation

The Counting Equation

A counter relies on the Toggle ( $T$ ) property. When a flip-flop toggles, it switches its state ( $0 \to 1$ or $1 \to 0$ ) on every clock pulse, which effectively performs binary counting.

For a JK Flip-flop, the toggle condition is:

J = 1, \quad K = 1 \implies Q_{next} = \bar{Q}

For a T Flip-flop, the condition is:

T = 1 \implies Q_{next} = \bar{Q}

Why JK and T?

Counters are essentially frequency dividers. The relationship between the input clock frequency ( $f_{in}$ ) and the output frequency ( $f_{out}$ ) of a single flip-flop stage is:

f_{out} = \frac{f_{in}}{2}

Comparison of Building Blocks

Flip-flop Type	Role in Counters	Equation
JK Flip-flop	Most common block	$Q_{next} = J\bar{Q} + \bar{K}Q$
T Flip-flop	Simplest for Toggling	$Q_{next} = T \oplus Q$
D Flip-flop	Used in Shift Registers	$Q_{next} = D$

Key Takeaway

If you are asked for the single most fundamental block, it is the JK Flip-flop because of its universal nature. By tying $J$ and $K$ high ( $1$ ), it becomes the perfect counting element.