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Original 2026-01-01

Modified 2026-02-28

1 79 can be converted easily from decimal to binary. The methods mentioned below will help us convert the number. Let’s see how it is done.

2 Expansion Method:Let us see the step-by-step process of converting 79 using the expansion method.

3 Step 1 -Figure out the place values: In the binary system, each<a>place value</a>is a<a>power</a>of 2. Therefore, in the first step, we will ascertain the powers of 2.

4 20 = 1

5 21 = 2

6 22 = 4

7 23 = 8

8 24 = 16

9 25 = 32

10 26 = 64

11 27 = 128

12 Since 128 is<a>greater than</a>79, we stop at 26 = 64.

13 Step 2 -Identify the largest power of 2: In the previous step, we stopped at 26 = 64. This is because in this step, we have to identify the largest power of 2, which is<a>less than</a>or equal to the given number, 79. Since 26 is the number we are looking for, write 1 in the 26 place. Now the value of 26, which is 64, is subtracted from 79. 79 - 64 = 15.

14 Step 3 -Identify the next largest power of 2: In this step, we need to find the largest power of 2 that fits into the result of the previous step, 15. So, the next largest power of 2 is 23, which is less than or equal to 15. Now, we have to write 1 in the 23 places. And then subtract 8 from 15. 15 - 8 = 7.

15 Step 4 -Identify the next largest power of 2: Now, the largest power of 2 that fits into 7 is 22. Write 1 in the 22 places. And then subtract 4 from 7. 7 - 4 = 3.

16 Step 5 -Identify the next largest power of 2: Now, the largest power of 2 that fits into 3 is 21. Write 1 in the 21 places. And then subtract 2 from 3. 3 - 2 = 1.

17 Step 6 -Identify the next largest power of 2: Now, the largest power of 2 that fits into 1 is 20. Write 1 in the 20 places. And then subtract 1 from 1. 1 - 1 = 0. We need to stop the process here since the remainder is 0.

18 Step 7 -Write the values: We now write the numbers to represent 79 in binary. 1 in the 26 place 0 in the 25 place 0 in the 24 place 1 in the 23 place 1 in the 22 place 1 in the 21 place 1 in the 20 place Therefore, 1001111 is 79 in binary.

19 Grouping Method:In this method, we divide the number 79 by 2. Let us see the step-by-step conversion.

20 Step 1 -Divide the given number 79 by 2. 79 / 2 = 39. Here, 39 is the quotient, and 1 is the remainder.

21 Step 2 -Divide the previous quotient (39) by 2. 39 / 2 = 19. Here, the quotient is 19 and the remainder is 1.

22 Step 3 -Repeat the previous step. 19 / 2 = 9. Now, the quotient is 9, and 1 is the remainder.

23 Step 4 -Repeat the previous step. 9 / 2 = 4. Here, the quotient is 4, and 1 is the remainder.

24 Step 5 -Repeat the previous step. 4 / 2 = 2. Here, the quotient is 2, and 0 is the remainder.

25 Step 6 -Repeat the previous step. 2 / 2 = 1. Here, the quotient is 1, and 0 is the remainder.

26 Step 7 -Repeat the previous step. 1 / 2 = 0. Here, the remainder is 1. And we stop the<a>division</a>here because the quotient is 0.

27 Step 8 -Write down the remainders from bottom to top. Therefore, 79 (decimal) = 1001111 (binary).