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Asynchronous counter created from two JK flip-flops. An asynchronous (ripple) counter is a "chain" of toggle (T) flip-flops wherein the least-significant flip-flop (bit 0) is clocked by an external signal (the counter input clock), and all other flip-flops are clocked by the output of the nearest, less significant flip-flop (e.g., bit 0 clocks ...
An animation of a frequency divider implemented with D flip-flops, counting from 0 to 7 in binary. For power-of-2 integer division, a simple binary counter can be used, clocked by the input signal. The least-significant output bit alternates at 1/2 the rate of the input clock, the next bit at 1/4 the rate, the third bit at 1/8 the rate, etc.
Excitation table. In electronics design, an excitation table shows the minimum inputs that are necessary to generate a particular next state (in other words, to "excite" it to the next state) when the current state is known. They are similar to truth tables and state tables, but rearrange the data so that the current state and next state are ...
J-K master-slave flip-flop 14 SN74104: 74x105 1 J-K master-slave flip-flop, J2 and K2 inverted 14 SN74105: 74x106 2 dual J-K negative-edge-triggered flip-flop, preset and clear 16 SN74H106: 74x107 2 dual J-K flip-flop, clear 14 SN74LS107A: 74x108 2 dual J-K negative-edge-triggered flip-flop, preset, common clear and common clock 14 SN74H108 ...
Luhn algorithm. The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in U.S. Patent No. 2,950,048, granted on August 23, 1960.
Setting J = K = 0 maintains the current state. To synthesize a D flip-flop, simply set K equal to the complement of J (input J will act as input D). Similarly, to synthesize a T flip-flop, set K equal to J. The JK flip-flop is therefore a universal flip-flop, because it can be configured to work as an SR flip-flop, a D flip-flop, or a T flip-flop.
Since Binary encoding uses the minimum number of bits (flip-flops) to encode a machine the flip-flops are maximally utilized. As a result, more combinatorial logic is required to decode each state when compared to One Hot. Requires fewer flip-flops when compared to One hot but hamming distance can be as worse as number of bits(b). Gray Encoding
Modular multiplicative inverse. In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. [1] In the standard notation of modular arithmetic this congruence is written as.