# Calculation of antilog of a number using antilog table (mantissa table)

An **antilog** is the result of raising the base being used to the logarithm given or calculated. Put another way, it "undoes" what calculating the logarithm of a number does and simply returns that number.

**Example 1:**

Consider a number, 3.6325

**Step 1: **

**Separate the characteristic part and the mantissa part.**

From the given example,

the characteristic part is **3**

the mantissa part is **6325**

**Step 2: **

**Find the corresponding value of the mantissa part by using the antilog or mantissa table. **

First, find the row number that starts with **.63 (**3**.63**25**)**, then the column for **2** (3.63**2**5**)**

Now, the corresponding value is **42855**

Download antilog table from here.

**Step 3: **

**Find the value from mean difference columns. **

Again use the same row number **.63 (**3**.63**25**)** and find the value for column **5** (3.632**5****)**.

Now, the value corresponding to this is **50**

**Step 4: **

**Add the values obtained in step 2 and 3,**

Now, the value is **42855** + **50** = **42905**

**Step 5: **

**Now insert the decimal point.**

For this, first add **1** to the characteristic value. Now the place of decimal point is **4** (**3** + **1**). Then add the decimal point after **4** digits of the value obtained in step 4.

The value is** 4290.5**

So, the antilog value of **4.6325** is **4290.5**

**Example 2:**

Consider a number, 2 .4412

**Step 1: **

**Separate the characteristic part and the mantissa part.**

From the given example,

the characteristic part is **2**

the mantissa part is **4412**

Download antilog table from here.

**Step 2: **

**Find the corresponding value of the mantissa part by using the antilog or mantissa table. **

First, find the row number that starts with **.44 (**2 .**44**12**)**, then the column for **1** (2 .44**1**2**)**

Now, the corresponding value is **27606**

**Step 3: **

**Find the value from mean difference columns. **

Again use the same row number **.44 (**2 .**44**12**)** and find the value for column **2 (**2 .441**2****)**.

Now, the value corresponding to this is **13**

**Step 4: **

**Add the values obtained in step 2 and 3,**

Now, the value is **27606** + **13** = **27619**

**Step 5: **

**Now insert the decimal point.**

For this, first add **1** to the characteristic value. Now the place of decimal point is **3** (**2** + **1**). Then add the decimal point after **3** digits of the value obtained in step 4.

The value is** 276.19**

So, the antilog value of **2.4412** is **276.19**