Store Number Log For Free

So it can be concluded that to count number of digits, how many times a number is divided by 10 to reach 1 needs to be calculated. log base 10 of a number is the number of times a number needs to be divided by 10 to reach 1 but as 1 itself is not included in log base 10, 1 is added to get the number of digits.

Integer numbers are represented in the computer memory, as a sequence of bits: 8-bits, 16-bits, 24-bits, 32-bits, 64-bits, and others, but always a multiple of 8 (one byte). They can be signed or unsigned and depending on this, hold a positive, or negative value.

In general, N bits (binary digits) are required to represent unique integer values. Eight bits are required to represent 256 unique values. Those values range in binary from 00000000 through 11111111, or 0 through 255 in decimal.

Signed integers are stored in two's complement representation. To represent -1 : start with 1 ( 0x00000001 ), perform bit inversion ( 0xfffffffe ), add 1 ( 0xffffffff ). The most significant bit is always 1 for negative numbers and always 0 for positive numbers.

Storage of integer and character values in C Taking a positive integer value as char: #include <stdio.h> int main() { char a = 278; printf ( "%d" , a); return 0; } Output: ... Taking a negative integer value as char: #include <stdio.h> int main() { char a = -129; printf ( "%d" , a); return 0; } Output:

Numbers are stored on the computer in binary form. In other words, information is encoded as a sequence of 1's and 0's. On most computers, the memory is organized into 8-bit bytes. This means each 8-bit byte stored in memory will have a separate address.

Integers in memory One method for storing (8-bit) integers on the computer, that leads to a convenient binary`arithmetic', is known as the two's complement method. For positive values, if the leftmost (sign) bit is zero, the value is positive so simply do a binary to decimal conversion.