What is the largest integer number that a PLC counter function can reach if it uses a 16 bit register?
Question
What is the largest integer number that a PLC counter function can reach if it uses a 16 bit register?
Solution
The largest integer number that a PLC counter function can reach if it uses a 16-bit register is 65,535.
Here's the step-by-step explanation:
-
A bit is a binary digit, the smallest increment of data on a machine. A bit can hold only one of two values: 0 or 1.
-
Because bits are so small, they are grouped together to form larger units of data. The larger units of data are formed using binary number system where each bit represents a power of 2.
-
In a 16-bit register, there are 16 slots for 1s and 0s. The largest number you can represent with 16 bits is 1111111111111111 in binary format.
-
To determine what this binary number represents in the decimal (or base-10) system, you would calculate 2^15 + 2^14 + 2^13 + ... + 2^1 + 2^0.
-
If you do this calculation, you will find that the largest integer number a 16-bit register can hold is 65,535.
Similar Questions
How many bits does a typical 8-bit CPU register hold?a. 4 bitsb. 8 bitsc. 16 bitsd. 32 bits
How many bits does it take to store the result of two unsigned 16-bit numbers added together?Select the minimum value which will always be valid:
For 16 bit compiler, allowable range for integer constants is ______ ?Options-3.4e38 to 3.4e38-32767 to 32768-32768 to 32767-32668 to 32667
In a system which has 32 registers, the register id is __________ long.Question 2Select one:a.5 bitb.16 bitc.6 bitd.8 bit
What is the maximum possible range of bit-count specifically in n-bit binary counter consisting of 'n' number of flipflops
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.