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decade counter (separate divide-by-2 and divide-by-5 sections) 14 SN74LS90: 74x91 1 8-bit shift register, serial in, serial out, gated input 14 SN74LS91: 74x92 1 divide-by-12 counter (separate divide-by-2 and divide-by-6 sections) 14 SN74LS92: 74x93 1 4-bit binary counter (separate divide-by-2 and divide-by-8 sections); different pinout for ...
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. An arrangement of flipflops is a classic method for integer-n division. Such division is frequency ...
The register width of a processor determines the range of values that can be represented in its registers. Though the vast majority of computers can perform multiple-precision arithmetic on operands in memory, allowing numbers to be arbitrarily long and overflow to be avoided, the register width limits the sizes of numbers that can be operated on (e.g., added or subtracted) using a single ...
Long division is the standard algorithm used for pen-and-paper division of multi-digit numbers expressed in decimal notation. It shifts gradually from the left to the right end of the dividend, subtracting the largest possible multiple of the divisor (at the digit level) at each stage; the multiples then become the digits of the quotient, and the final difference is then the remainder.
The modulus of a counter is the number of states in its count sequence. The maximum possible modulus is determined by the number of flip-flops. For example, a four-bit counter can have a modulus of up to 16 (2^4). Counters are generally classified as either synchronous or asynchronous.
Similarly, c and d can be incremented or decremented. To check if a virtual counter such as c is equal to zero, just divide the real counter by 5, see what the remainder is, then multiply by 5 and add back the remainder. That leaves the real counter unchanged. The remainder will have been nonzero if and only if c was zero.
An orange that has been sliced into two halves. In mathematics, division by two or halving has also been called mediation or dimidiation. [1] The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. [2]
The result of shifting by a bit count greater than or equal to the word's size is undefined behavior in C and C++. [2] [3] Right-shifting a negative value is implementation-defined and not recommended by good coding practice; [4] the result of left-shifting a signed value is undefined if the result cannot be represented in the result type. [2]