How do you convert the binary number 111110110 to octal?

Answer 1

Convert the octal number 54 to decimal.

Answer 2

first convert 111110110 into base ten (decimal) we have 0 in the 1 place

1 in the two place

1 in the four place

0 in the eight place

1 in the sixteen place

1 in the thirty-second place

1 in the sixty fourth place

1 in the one hundred and twenty eighth place

1 in the two hundred and fifty sixth place so take the numbers 2, 4, 16, 32, 64, 128, and 256 and add them together.

the answer is 502 Therefore 111110110 in Base 2(binary) is equal to 502 in base ten(decimal) To convert 502 into base 8 (octal) we must first find out what each place represents note: the karot sign ( ^ ) is used to raise something to the power of something else It is the same as when you see those little numbers after another number. By typing 3^2 i am representing 3 to the power of two OR three squared OR 3 x 3 OR 9. By typing 3^3 i am representing 3 to the power of four OR three cubed OR 3 x 3 x 3 OR 27 _______ ________ _______ ________ _______ ________ ______

8^6****** 8^5**** 8^4***** 8^3***** 8^2 ****8****** 1 multiply that out we get _______ ________ _______ ________ _______ _______ ________

262144*** 32768*** 4096**** 512***** 64***** 8******* 1 now look at the number 502. 502 is less than 262144 so we put nothing in that place. We do the same for the numbers 32768, 4096, or 512.

502 is, however, more than 64. so we divide 502 by 64. We get 7 and a remainder of 54. We put a 7 in the 64 place. we take the number 54. 54 is more than 8 so we divide 54 by 8 giving us 6 with a remainder of six. we put a six in the 8th place we take the number 6. 6 is more than 1. Divide 6 by 1 getting a remainder of six. Put a six in the 1st place. Your answer is now 766 Therefore: 111110110 in binary is equal to 502 in decimal and 766 in octal.

Answer 3

766