127.
There are 5 bits in the immediate value for an LC-3 ADD, but the first bit is needed for the sign representation. The answer is 15.
Negative integers are typically encoded using two's complement notation. That is, to convert the sign of any given integer, the bits are flipped (as per ones' complement) and 1 is added. Thus to convert the value +1 to -1 using 8-bit notation: 00000001 = 11111110 + 1 = 11111111 And reversing the process (-1 to +1): 11111111 = 00000000 + 1 = 00000001 In hexadecimal notation, the value 0x80 is the largest negative integer (-128) and 0x7F is the largest positive integer (+127). That is, 10000000 and 01111111 respectively. Note that ones' complement was used in the past and while some systems still use it they are few and far between today. One of the problems with ones' complement is that +0 and -0 (00000000 and 11111111 respectively) would be treated as being two separate values, when the value 0 is neither positive nor negative. In twos complement, flipping the sign of zero becomes: 00000000 = 11111111 + 1 = 00000000 Note that the actual value is 100000000, but the most-significant bit (the overflow) is ignored because there can only be 8-bits in an 8-bit value. The same is true of 16-bit values, 24-bit values, etc. When all bits are filled with 1s, adding 1 wraps the value back to 0 again.
1111111111111111 (216 - 1 = 65535)
0xffffffffffffffff As an unsigned 64-bit integer, this represents the value 18,446,744,073,709,551,615. However, as a signed 64-bit integer, this only represents the value -1. The signed range is -9,223,372,036,854,775,808 to 9,223,372,036,854,775,807 making 0x7fffffffffffffff the largest possible positive value, and 0x8000000000000000 the smallest possible negative value.
3.0carat is the largest
6
216 -1
For an unsigned integer, that would be 216-1. For a signed integer in 2's complement notation, the largest number would be 215-1.
No, the word 'largest' is the superlative form of the adjective 'large' (larger, largest). An adjective used as a subject complement (following a linking verb) or an object complement (following a direct object, renaming the direct object) does the job of a noun; for example: Subject complement: My feet are the largest. Object complement: He bought a real diamond, the largest I have ever seen.
If the high-order bit is considered the sign bit then 100000 would represent the largest negative number (in 2's complement - used mostly in computers) which would be equivalent to -32 in decimal
The decimal complement of the number 1 is 8. You can find the complement of any digit by subtracting it from the largest single digit value in the base that you're working in.
It will be the largest positive whole number on the number line which is infinite.
An N-bit integer holds 2N different values.For an unsigned integer, the range of values is 0..2N-1 thus.For a signed integer using 2s complement, the range is -2N-1..+2N-1-1.Therefore, the largest positive number that can be stored using 8 bits is 255.
If the 8 bits represent a signed number, the range is usually -128 to +127. This is -27 to 27-1.
The set of positive integers is {1, 2, 3, 4, 5, ...}. Because the values approach positive infinity there is no largest positive integer. If you pick any positive integer, you can always create a larger one by simply adding 1 to it. So there can be no largest positive integer.
infinity
A host cell