How to Calculate Antilog on the GATE Calculator (10^x Button)

The 10^x antilog button highlighted on the GATE virtual calculator display

Antilog is the reverse of logarithm. If log(100) = 2, then antilog(2) = 100. On the GATE virtual calculator, the antilog button is labeled 10^x. There is no button that says "antilog" directly.

How to Calculate Antilog (Base 10)

Antilog base 10 means 10 raised to the power of your number. The button for this is 10^x.

Steps: Type the number, then click 10^x.

Example: antilog(3) = type 3, click 10^x = 1000.

That is it. Two actions: enter value, press button. The post-fix input style means you always enter the value first.

How to Calculate Natural Antilog (Base e)

The natural antilog reverses the natural logarithm (ln). If ln(x) = y, then e^y = x. The button is e^x.

Steps: Type the number, then click e^x.

Example: natural antilog of 1 = type 1, click e^x = 2.71828 (which is e itself).

How to Calculate Antilog Base 2

There is no dedicated antilog base 2 button. Use the x^y (power) button instead.

Steps: Type 2, click x^y, type your number, click =.

Example: antilog base 2 of 8 = type 2, click x^y, type 8, click = = 256 (which is 2^8).

Practice Problems

Problem	Button Sequence	Result
antilog(2)	2 -> 10^x	100
antilog(0)	0 -> 10^x	1
antilog(0.5)	0.5 -> 10^x	3.16228
antilog(-1)	1 -> +/- -> 10^x	0.1
antilog(-2)	2 -> +/- -> 10^x	0.01
e^2 (natural antilog of 2)	2 -> e^x	7.38906
2^10 (antilog base 2 of 10)	2 -> x^y -> 10 -> =	1024

Common Mistakes

Confusing 10^x with x^10. The 10^x button raises 10 to the power of your input. If you wanted x^10 instead, use the x^y button: type your number, click x^y, type 10, click =.

Forgetting which log base to reverse. If your problem involves ln (natural log), the antilog uses e^x, not 10^x. If it involves log (base 10), use 10^x. Mixing these up gives completely wrong answers.

Negative antilog confusion. Antilog(-2) is 10^(-2) = 0.01, not -100. To enter a negative number, type the positive value first, then click the +/- button to make it negative, then click 10^x.

Common Antilog Values for Quick Reference

Input	antilog (10^x)	natural antilog (e^x)
0	1	1
0.5	3.16228	1.64872
1	10	2.71828
2	100	7.38906
3	1000	20.0855
-1	0.1	0.36788
-2	0.01	0.13534

Memorizing antilog(0.5) = 3.162 and antilog(1) = 10 helps you sanity-check calculator results during the exam. If your answer does not match these known values, you probably used the wrong button.

One more useful pattern: to compute any base antilog (e.g., antilog base 5 of 3), use the x^y button. Type 5, click x^y, type 3, click = to get 125. This generalizes to any base and works for both integer and decimal exponents.

Practice these operations on our free calculator tool until the button sequences become automatic. For the full list of all 60+ calculator functions, see our scientific calculator function reference.

Frequently Asked Questions

Where is the antilog button on the GATE calculator?

There is no button labeled 'antilog' on the GATE virtual calculator. For antilog base 10, use the 10^x button. For natural antilog (reverse of ln), use the e^x button. Both use post-fix input: type the number first, then click the button.

How to find antilog of a negative number on the GATE calculator?

Type the positive value first, then click the +/- button to make it negative, then click 10^x. For example, antilog(-3) = type 3, click +/-, click 10^x = 0.001. The result is always positive because 10 raised to any power is positive.

What is antilog of 0.5?

Antilog(0.5) = 10^0.5 = 3.16228. On the GATE calculator: type 0.5, click 10^x. This equals the square root of 10 because 10^(1/2) = sqrt(10).

How to calculate antilog in a normal calculator?

On the GATE virtual calculator, use the 10^x button for base-10 antilog and the e^x button for natural antilog. On a physical Casio, you typically press SHIFT then log to get 10^x. The GATE calculator has a dedicated 10^x button so no SHIFT is needed.

What is the difference between 10^x and e^x on the GATE calculator?

10^x calculates the antilog base 10 (common antilog). e^x calculates the natural antilog (antilog base e = 2.71828). Use 10^x to reverse log operations and e^x to reverse ln operations. Mixing them up gives completely wrong answers.

How to find antilog without a calculator?

For integer values, antilog is straightforward: antilog(2) = 100, antilog(3) = 1000. For decimal values like antilog(2.5), split it: 10^2.5 = 10^2 x 10^0.5 = 100 x 3.162 = 316.2. During the GATE exam, use the virtual calculator - manual antilog computation is too slow.