How to resolve the algorithm Integer overflow step by step in the J programming language
How to resolve the algorithm Integer overflow step by step in the J programming language
Table of Contents
Problem Statement
Some languages support one or more integer types of the underlying processor. This integer types have fixed size; usually 8-bit, 16-bit, 32-bit, or 64-bit. The integers supported by such a type can be signed or unsigned. Arithmetic for machine level integers can often be done by single CPU instructions. This allows high performance and is the main reason to support machine level integers.
An integer overflow happens when the result of a computation does not fit into the fixed size integer. The result can be too small or too big to be representable in the fixed size integer.
When a language has fixed size integer types, create a program that does arithmetic computations for the fixed size integers of the language. These computations must be done such that the result would overflow. The program should demonstrate what the following expressions do.
For 32-bit signed integers: For 64-bit signed integers: For 32-bit unsigned integers: For 64-bit unsigned integers:
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Integer overflow step by step in the J programming language
Source code in the j programming language
-(_2147483647-1)
2.14748e9
2000000000 + 2000000000
4e9
_2147483647 - 2147483647
_4.29497e9
46341 * 46341
2.14749e9
(_2147483647-1) % -1
2.14748e9
-(_9223372036854775807-1)
9.22337e18
5000000000000000000+5000000000000000000
1e19
_9223372036854775807 - 9223372036854775807
_1.84467e19
3037000500 * 3037000500
9.22337e18
(_9223372036854775807-1) % -1
9.22337e18
_4294967295
_4.29497e9
3000000000 + 3000000000
6e9
2147483647 - 4294967295
_2.14748e9
65537 * 65537
4.2951e9
_18446744073709551615
_1.84467e19
10000000000000000000 + 10000000000000000000
2e19
9223372036854775807 - 18446744073709551615
_9.22337e18
4294967296 * 4294967296
1.84467e19
-(_2147483647-1)
2147483648
2000000000 + 2000000000
4000000000
_2147483647 - 2147483647
_4294967294
46341 * 46341
2147488281
(_2147483647-1) % -1
2.14748e9
-(_9223372036854775807-1)
9.22337e18
5000000000000000000+5000000000000000000
1e19
_9223372036854775807 - 9223372036854775807
_1.84467e19
3037000500 * 3037000500
9.22337e18
(_9223372036854775807-1) % -1
9.22337e18
_4294967295
_4294967295
3000000000 + 3000000000
6000000000
2147483647 - 4294967295
_2147483648
65537 * 65537
4295098369
_18446744073709551615
_1.84467e19
10000000000000000000 + 10000000000000000000
2e19
9223372036854775807 - 18446744073709551615
_9.22337e18
4294967296 * 4294967296
1.84467e19
-(_2147483647-1)
2147483648
2000000000 + 2000000000
4000000000
_2147483647 - 2147483647
_4294967294
46341 * 46341
2147488281
(_2147483647-1) % -1
2147483648
-(_9223372036854775807-1)
9223372036854775800
5000000000000000000+5000000000000000000
10000000000000000000
_9223372036854775807 - 9223372036854775807
_18446744073709552000
3037000500 * 3037000500
9223372037000249300
(_9223372036854775807-1) % -1
9223372036854775800
_4294967295
_4294967295
3000000000 + 3000000000
6000000000
2147483647 - 4294967295
_2147483648
65537 * 65537
4295098369
_18446744073709551615
_18446744073709552000
10000000000000000000 + 10000000000000000000
20000000000000000000
9223372036854775807 - 18446744073709551615
_9223372036854775800
4294967296 * 4294967296
18446744073709552000
-(_2147483647-1)
2147483648
2000000000 + 2000000000
4000000000
_2147483647 - 2147483647
_4294967294
46341 * 46341
2147488281
(_2147483647-1) % -1
2147483648
-(_9223372036854775807-1)
9223372036854775800
5000000000000000000+5000000000000000000
10000000000000000000
_9223372036854775807 - 9223372036854775807
_18446744073709552000
3037000500 * 3037000500
9223372037000249300
(_9223372036854775807-1) % -1
9223372036854775800
_4294967295
_4294967295
3000000000 + 3000000000
6000000000
2147483647 - 4294967295
_2147483648
65537 * 65537
4295098369
_18446744073709551615
_18446744073709552000
10000000000000000000 + 10000000000000000000
20000000000000000000
9223372036854775807 - 18446744073709551615
_9223372036854775800
4294967296 * 4294967296
18446744073709552000
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