Question

onvert the decimal number 777 to octal.

Answer 1

To convert the decimal number 777 to octal, you can use the method of repeatedly dividing the number by 8 and recording the remainder. Here’s how it's done step-by-step:

1. Divide 777 by 8:
- 777 ÷ 8 = 97 with a remainder of 1

2. Divide the quotient (97) by 8:
- 97 ÷ 8 = 12 with a remainder of 1

3. Divide the quotient (12) by 8:
- 12 ÷ 8 = 1 with a remainder of 4

4. Divide the quotient (1) by 8:
- 1 ÷ 8 = 0 with a remainder of 1

Now, we take the remainders from the last division to the first:

- The remainders, starting from the last division to the first, are: 1, 4, 1, 1.

So, writing those down, we get 1141.

Thus, the octal representation of the decimal number 777 is **1141**.