Powers of Two

Complete table of powers of 2 from 2⁰ to 2⁶⁴ in decimal and hexadecimal. Essential reference for computer science.

Exponent (n)	2ⁿ (Decimal)	2ⁿ (Hex)	Bits
2⁰	1	0x1	1
2¹	2	0x2	2
2²	4	0x4	3
2³	8	0x8	4
2⁴	16	0x10	5
2⁵	32	0x20	6
2⁶	64	0x40	7
2⁷	128	0x80	8
2⁸	256	0x100	9
2⁹	512	0x200	10
2¹⁰	1024	0x400	11
2¹¹	2048	0x800	12
2¹²	4096	0x1000	13
2¹³	8192	0x2000	14
2¹⁴	16384	0x4000	15
2¹⁵	32768	0x8000	16
2¹⁶	65536	0x10000	17
2¹⁷	131072	0x20000	18
2¹⁸	262144	0x40000	19
2¹⁹	524288	0x80000	20
2²⁰	1048576	0x100000	21
2²¹	2097152	0x200000	22
2²²	4194304	0x400000	23
2²³	8388608	0x800000	24
2²⁴	16777216	0x1000000	25
2²⁵	33554432	0x2000000	26
2²⁶	67108864	0x4000000	27
2²⁷	134217728	0x8000000	28
2²⁸	268435456	0x10000000	29
2²⁹	536870912	0x20000000	30
2³⁰	1073741824	0x40000000	31
2³¹	2147483648	0x80000000	32
2³²	4294967296	0x100000000	33
2³³	8589934592	0x200000000	34
2³⁴	17179869184	0x400000000	35
2³⁵	34359738368	0x800000000	36
2³⁶	68719476736	0x1000000000	37
2³⁷	137438953472	0x2000000000	38
2³⁸	274877906944	0x4000000000	39
2³⁹	549755813888	0x8000000000	40
2⁴⁰	1099511627776	0x10000000000	41
2⁴¹	2199023255552	0x20000000000	42
2⁴²	4398046511104	0x40000000000	43
2⁴³	8796093022208	0x80000000000	44
2⁴⁴	17592186044416	0x100000000000	45
2⁴⁵	35184372088832	0x200000000000	46
2⁴⁶	70368744177664	0x400000000000	47
2⁴⁷	140737488355328	0x800000000000	48
2⁴⁸	281474976710656	0x1000000000000	49
2⁴⁹	562949953421312	0x2000000000000	50
2⁵⁰	1125899906842624	0x4000000000000	51
2⁵¹	2251799813685248	0x8000000000000	52
2⁵²	4503599627370496	0x10000000000000	53
2⁵³	9007199254740992	0x20000000000000	54
2⁵⁴	18014398509481984	0x40000000000000	55
2⁵⁵	36028797018963968	0x80000000000000	56
2⁵⁶	72057594037927936	0x100000000000000	57
2⁵⁷	144115188075855872	0x200000000000000	58
2⁵⁸	288230376151711744	0x400000000000000	59
2⁵⁹	576460752303423488	0x800000000000000	60
2⁶⁰	1152921504606846976	0x1000000000000000	61
2⁶¹	2305843009213693952	0x2000000000000000	62
2⁶²	4611686018427387904	0x4000000000000000	63
2⁶³	9223372036854775808	0x8000000000000000	64
2⁶⁴	18446744073709551616	0x10000000000000000	65

How to Use the Powers of Two

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Use the table as a quick reference during calculations or study.

Riferimento Rapido

Da	A
1 × 1	1
5 × 5	25
7 × 8	56
9 × 9	81
12 × 12	144
15 × 15	225

Casi d'Uso

•Quick lookup of values during math class or professional work.
•Verifying calculations without needing a full scientific calculator.
•Studying mathematical relationships, patterns, and properties.
•Using as a handy reference during engineering or science tasks.

Formula

Powers of 2 are fundamental in computing. Each power represents a binary digit position: 2ⁿ is a 1 followed by n zeros in binary.

Domande Frequenti

Why are powers of two important in computer science?

Computers use binary (base-2) representation. Memory sizes, address spaces, and data types are all based on powers of 2. For example, a 32-bit integer can hold values up to 2³² − 1 = 4,294,967,295.

What is 2⁶⁴ in decimal?

2⁶⁴ = 18,446,744,073,709,551,616. This is the size of the 64-bit address space and the maximum value of an unsigned 64-bit integer plus one.

How are powers of two related to bytes?

1 KB = 2¹⁰ = 1,024 bytes, 1 MB = 2²⁰ = 1,048,576 bytes, 1 GB = 2³⁰ = 1,073,741,824 bytes, 1 TB = 2⁴⁰ bytes.

Why does the table show hexadecimal values?

Hexadecimal is widely used in programming. Powers of 2 have clean hex representations: 2⁴ = 0x10, 2⁸ = 0x100, 2¹⁶ = 0x10000. Each hex digit represents exactly 4 binary digits.